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Introduction to TypeScript Mixins

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Working of Mixin in Typescript with Examples

There is no particular syntax for writing mixin class as it is an extra class written to overcome the single inheritance problem, which means there is no restriction for extending a single class one at a time. Using mixin class is used in building simple partial classes, and this mixin class returns a new class. Therefore, the syntax of the mixin class cannot be defined exactly as it is a class that can take a constructor to create a class that has the functionalities of the constructor by extending the previous class and then returns a new class.

Suppose if we have two classes X and Y where class X wants to get the functionality of class Y, and this can be done using extending class X extends class Y, but in Typescript, mixins are used to extend the class Y, and therefore this function Y takes class X, and therefore it returns the new class with added functionality, and here the function Y is a mixin. In general, the mixin is a function that takes a constructor of the class to extend its functionality within the new class that is created, and this new class is returned.

The exact working of mixin can be demonstrated as a process of mixing multiple classes to a single target class, and this is done by using the “implement” keyword in Typescript for the target mixin class, which also uses some generic helper functions which helps to copy the properties of each mixin to the target mixin. But we cannot use interfaces as it can only extend the members of the class but not their implementations. Therefore, TypeScript provides mixins that help to inherit or extend from more than one class, and these mixins create partial classes and combine multiple classes to form a single class that inherits all the functionalities and properties from these partial classes.

Example of TypeScript Mixins

Different example are given below:

Example #1

Code:

console.log(" Demonstration of mixin using extends in Typescript") class Courses { name = ""; x = 0; y = 0; constructor(name: string) { this.name = name; } } return class Scaling extends Base { _scale = 1; setScale(scale: number) { this._scale = scale; } get scale(): number { return this._scale; } }; } const Institute = Scale(Courses); const numcourse = new Institute("Educba"); numcourse.setScale(3); console.log(numcourse.scale);

In the above program, we are first creating class “Courses” which we are trying to scale the number of courses in the institute but to extend this class property we are using mixin concept that is first take a constructor as to make mixin extend the class “Courses” with new functionalities and the constructor is defined using “constructor” keyword. Then to extend the class “Courses”, we need to use the keyword “extends”, which is done n the function Scale where we are extending the constructor of the class to create a new class and return that class. The output of the code can be seen in the screenshot, where we are inheriting the property setscale() by extending the constructor and creating a new class named “Institute”, which is extended by the “Course” class.

Now let us see another example where it will take multiple classes and how the mixin works.

Example #2 console.log(" Demonstration of mixin in Typescript ") class  Mathfunc{ calculate(): void { console.log("The math formula is getting executed"); } } class Variables { display(): void { console.log("The variables given are calculated and display the result"); } } class Add implements Mathfunc, Variables { a: number; b: number; constructor(a, b) { this.a = a; this.b = b; } res(): number { return this.a + this.b; } display(): void { } calculate(): void { } } function applyMixins(derivedCtor: any, baseCtors: any[]) { Object.defineProperty(derivedCtor.prototype, name, Object.getOwnPropertyDescriptor(baseCtor.prototype, name)); }); }); } applyMixins(Add, [Mathfunc, Variables]); let p: Add = new Add(9, 7); p.calculate(); p.display(); let r = p.res(); console.log("The Additin of two given numbers  is as follows:"); console.log(r);

Output:

In the above program, we can see we have classes “mathfunc”, “variables”, and “Add” where t display we are just providing “implements” keyword to extend the class properties. We are providing empty implementations which mixin helper functions will later replace. Therefore this mixin created iterate through properties of the base classes and then copy all these properties from these single classes into one single target class, and this done in the function apply mixin in the above program. Therefore we are trying to calculate the sum of two numbers where we have created a constructor with two different variables, and the result is displayed using the res() function, which returns the sum.

Conclusion

This article concludes with a demonstration of mixin in typescript where we saw how mixin works with keyword “extends” and “implements”. In this article, we saw an example of demonstrating the mixin which supports single inheritance by using these keywords in the program. We should also note that it may take much time in compiling the above approaches.

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Learn Working Of Json In Swift With Examples

Introduction to Swift JSON

Swift JSON is used for communication of the IOS web application with the server by returning a series of formatted data or information. This formatted data organized in a proper hierarchical manner is called Swift JSON. Foundation framework that includes a class called JSONSerialization is exclusively used for converting any JSON involved within the web application into Swift data types like array, number, bool, String, and Dictionary. It is very difficult to predict the actual structure or the order in which values of JSON-based web applications will receive as part of returned data.

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There is no proper syntax for any Swift JSON it can be any resource file containing the data in an ordered manner as represented below but then indentation does matter while validating any JSON data as improper JSON input might vary and can behave differently while parsing and traversing as well.

{ "title": "some_data", "url": "any_url_can_be_included", "category": "Category_for_swift_language", "views": 25648 } How JSON works in Swift?

JSON parsing or manipulation with JSON in any programming language is a common functionality when any web application tries to communicate with the other server.

Any web application dealing with JSON data tries to decode the JSON data in an ordered manner. Swift JSON parsing is very important for any IOS developer as they will most often get acquainted with these kinds of data.

Decoding modules in swift are quite flexible and are very easy to understand without any indulgence of external API.

There are times when swift JSON containing JSONSerialization class method returns a value of any type and throws error in case the data cannot get parsed easily then a proper validation with error elicitation will be given to the user for identification of the actual exception.

Although the JSON data will get validated still there will be times when JSON may contain a single value, a response from a web application can encode an object or array as any top-level object for manipulation.

All the data types related to swift get used as per requirement and any optional value can be considered for it.

There is quite a need to create Model objects from the Model-view-controller design pattern that are often used to convert json data to objects which are specific to the application’s domain in a model view.

If the applications are related to one or more web services do not return a single, or consistent model for the representation of a model object, considering implementation of several initializers to handle all the possible representations.

JSON initializer helps a lot when it comes to extracting and getting the detailed implementation with errors and exceptions. Error Handling with error protocols helps in deserialization with the fail for protocol.

Many times, it happens that the application returns multiple endpoints for any resource that returns a single JSON response following any particular protocol.

A search endpoint may return zero or more endpoints then in that case the requested query may contain more or other metadata while presenting for the endpoint.

JSON parser plays a pivotal role in parsing as it helps in making the entire JSON data organized in a properly visualized format which gives an impression that the data can be organized in a proper manner.

Swift is the programming language that allows programmers to use and make the data ordered and visualized in a very easy and effective manner by giving an idea of proper idealization and organization for operations and manipulations.

Examples of Swift JSON

Here are the following examples mentioned below.

Example #1

This program demonstrates the JSON data where the input feed is represented as follows and the output feed after execution of the JSON parsing comes out to be shown as output. But it makes the Sample usage feed with the codeable mapping.

Code:

{ "title": "Usage of the optional Swift language.", "version": "4.0", "category": "Swift_version", "views": 25642 }

Output:

Example #2

This program demonstrates the JSON data where the input feed is represented with the same input as example 1 but with the mere difference of the fact that the JSON decoder will make use of the Object mapper for conversion of JSON String to model. This is shown in the output as shown:

Code:

{ "title": "Usage of the optional Swift language.", "version": "4.0", "category": "Swift_version", "views": 25642 }

Output:

Example #3

This program demonstrates the JSON data where the input feed is represented with the same input as example 1 but with the more difference of the fact that the JSON decoder will make use of the dictionary mapper for conversion of JSON String to model. This is shown in the output as shown:

{ "title": "Usage of the optional Swift language.", "version": "4.0", "category": "Swift_version", "views": 25642 }

Output:

Example #4

This program demonstrates the custom mapping for each defined key with the mapping of a blog and key and value pairs with the JSON and making the key encoding as the main conversion of the JSON to a blog.

Code:

{ "title": "Sat_Sun_Week:end_Comboff", "version": "swift_version_4.0", "visitors_way": 258965, "posts_for_members": 62542 }

Output:

Example #5

This program demonstrates the custom mapping for each defined key with the mapping of a blog and key and value pairs with the JSON and making the Object mapper in use for representation as shown in the output.

{ "title": "Sat_Sun_Week:end_Comboff", "version": "swift_version_4.0", "visitors_way": 258965, "posts_for_members": 62542 }

Output:

Example #6

This program demonstrates the custom mapping for each defined key with the mapping of a blog, key and value pairs with the JSON and making the Dictionary mapper in use for representation as shown in the output.

Code:

{ "title": "Sat_Sun_Week:end_Comboff", "version": "swift_version_4.0", "visitors_way": 258965, "posts_for_members": 62542 }

Output:

Conclusion

Swift JSON is the proper way of validating and making the entire data set and information organized in a visualized manner for the programmers. The successful communication between any web application and server helps a lot to analyze the entire application for product analysis and division of information uniformly among all applications efficiently.

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Working Of Bless() Function In Perl With Examples

Introduction to Perl bless function

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Working of bless() function in Perl with examples

In this article, we will discuss a built-in function where to make the program understand that the variable can be made an object of a particular class in Perl, where this function is known as the bless() function. Unlike in other programming languages, Perl creates an object similar to creating or declaring variables. Therefore the Perl programming language provides a built-in function called bless() function, which makes the variable look like an object of the particular class that it belongs to.

Now let us see the syntax and examples of how the bless() function works in the below example.

Syntax:

bless var_ref, class_name;

Parameters:

var_ref: this parameter refers to the variable as an object of the class whose class name is specified.

class_name: This parameter specifies the class name to which the object is created by marking the variable reference as an object of this class specified in this parameter.

This function can take only var_ref as an argument also, and this function returns the reference of the marked variable as a reference to an object blessed into a particular or specified class name as specified in the arguments passed to the function.

Examples

Now let us see a simple example of demonstrating the bless() function in the below section.

Example #1 use strict; use warnings; print "Demonstration of bless() function in Perl."; print "n"; print "n"; package student_data; sub stud { my $class_name = shift; my $var_ref = { }; print "The bless() function is now implemented:"; print "n"; bless $var_ref, $class_name; return $var_ref; } print "Object creation"; print "n"; print "n"; my $info = stud student_data("Alen","Python",32); print "The student's name is :"; print "n"; print "n"; print "The course name student taken is:"; print "n"; print "n"; print "The student's age is :"; print "n"; print "n";

Output:

In the above program, we can see we have defined class “stud” using a keyword package in Perl. Then we created a subroutine to print the student’s details. In this variable, we are referring each variable to the class name using the variable reference to object creation and class name as arguments in the bless() function in the above program. Then we are printing each value of the objects created.

Now we will see bless function taking only one argument and two arguments in the example below.

Example #2 use strict; use warnings; print "Demonstration of bless() function in Perl."; print "n"; print "n"; package student_data; sub stud { my $class_name = shift; my $var_ref = { }; print "The bless() function is now implemented:"; print "n"; bless $var_ref; return $var_ref; } package Employee; sub emp { my $class2 = shift; my $var_ref2 = { }; bless $var_ref2, $class2; return $var_ref2; } print "Object creation"; print "n"; print "n"; print "Bless function takes only one argument:"; print "n"; print "n"; my $info = stud student_data("Alen","Python",32); print "The student's name is :"; print "n"; print "n"; print "The course name student taken is:"; print "n"; print "n"; print "The student's age is :"; print "n"; print "n"; print "Bless() function takes two argument:"; print "n"; print "n"; my $per_info = emp Employee("Ram", "Shukla", 343); print "The employee's name is :"; print "n"; print "n"; print "The employee's second name student taken is:"; print "n"; print "n"; print "The employee's employee number is :"; print "n"; print "n";

Output:

In the above program, we can see we have declared two classes “student_data” and “Employee” wherein the class “Student_data” we have defined function bless() with the single argument so when the variables reference is only passed, it will by default, take only the values of its current class but not of the “employee” class.

Conclusion

In this article, we conclude that the bless() function is a built-in function in Perl for marking the variables reference to object creation which belongs to the particular class with its class name specified as an argument in the bless() function. In this article, we have seen examples of bless() function taking two arguments and what happens if there are two classes and the class name is not specified as an argument in the function, which will, by default, take the current class name.

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Scala Option Working With Examples

Introduction to Scala Option

Scala Option is used in Scala Object-oriented programming whenever the return type of function can be a null. It has the values of a type or none in it, so the method returns an instance of option with the values whether be it any values or none. So in Scala Option if that value is returned, it is given back with some class generated, and if no values are returned the none class is generated. Some and none called to be called as the children of option class.

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Syntax and Parameters:

classOption [+A] extends Product with Serializable

Option has the type parameterized. We can define an option and give the data type whatever we want to for that.

Option[String], Option[Int], Option[File] etc.

Working and Examples

Scala Option checks the return type of the method and returns the value with some class if there is a value returned or else none is returned for a null value. Whenever a null is returned over a normal function and when it is not handled with in the program we are most liable to get an error of NULLpointerException, but with the help of the option over the scala code we will not get this Null pointer Exception. It is better used with Match function.

Let us check the methods and ways to create Scala Option with examples:

Example #1

Code:

object Main extends App { val b = a.get("Arpit") val c = a.get("Aman") println(b) println(c) }

Output:

This some and none are part of Scala Option that searches for the key and returns the value if it founds that and none is returned if it doesn’t find the value. So here it uses the Scala Option to fetch the value and handle none.

Example #2

Code:

object Main extends App { val b = e.get(1) val c = e.get(4) println(b) println(c) }

Output:

It can be best use when we have to implement the Scala Pattern Matching.

Let us check how we use that with the help of an example:

Example #3

Pattern matching matches the values over the collection whatever it is if the particular thing is found it returns the value else nothing is returned. So we will check how this is achieved with the help of Options.

Code:

object Main extends App { def matc(a : Option[String]) = a match { } val b = matc(f.get("Arpit") ) val c = matc(f.get("Aa")) println(b) println(c) }

Output:

We made a function named as matc that takes up the Option as an input and then checks whether the element is found or not, if the element is found we will get the value and if not the nothing return string is returned. A map is made with the key and value. Then this matches the value and we get the String written inside as the result and if nothing is there none is returned.

Methods 1. isEmpty

It checks whether the result we got from the option is Empty or Not. It returns a Boolean Value.

Example:

Code:

object Main extends App { def matc(a : Option[String]) = a match { } val res20 = matc(f.get("Arpit") ) val res19 = matc(f.get("Aa")) val d = res20.isEmpty val e = res19.isEmpty println(res20) println(res19) println(d) println(e) }

Output:

2. Non Empty

Returns True if it is Non Empty.

Example:

Code:

object Main extends App { def matc(a : Option[String]) = a match { } val res20 = matc(f.get("Arpit") ) val res19 = matc(f.get("Aa")) val d = res20.nonEmpty val e = res19.nonEmpty println(res20) println(res19) println(d) println(e) }

Output:

3. Zip And Unzip

Zips the value of the option it gets and makes a paired value, whereas unzip helps in unzipping the values from each other.

Example:

object Main extends App { def matc(a : Option[String]) = a match { } val res20 = matc(f.get("Arpit") ) val res19 = matc(f.get("Aa")) val c = res19 zip res20 val e = c.unzip println(c) println(e) }

Output:

4. getOrElse

It is just like an if else method, this works like if the option has some values get that or else return the default value.

Example:

We are creating a variable of type Option with some and none values inside it.

Code:

object Main extends App { val a : Option[Int] = Some(5) val b : Option[Int] = None val c : Option[String] = Some("Arpit") println(a.getOrElse(10)) println(a.getOrElse(3)) println(b.getOrElse(0)) println(b.getOrElse(3)) println(b.getOrElse(4)) println(c.getOrElse("Annad")) println(c.getOrElse(4)) println(c.getOrElse(4.0)) }

Output:

Here a, b, c are three variables of type Option having the type inside as String and Int.

The get or else method will check if it has some value and return accordingly.

Conclusion

From the above article we saw how Scala Option works and the benefit of using Scala Option over the Object oriented programming. With the help of examples we saw how Scala option handles the null values and the various results associated with it. We checked the syntax and functioning, so Scala Option is a better and a good approach for Scala Object-Oriented Programming.

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Working And Examples Of Numpy Zeros_Like Function

Introduction to NumPy zeros_like

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Syntax

The syntax for NumPy zeros_like function in Python is as follows:

numpy.zeros_like(arrayname, datatype, memoryorder, subok)

where arrayname is the name of the array whose values must be replaced with zeros without a change in the size and shape of the array,

The data type is the data type of the values stored in the array. The default datatype for the given values in the array is float. This parameter is optional.

Memoryorder represents the order in the memory. The subok represents a Boolean value that is true if the array returned by using zeros like function is a subclass of the input array and false if the returned array is the same as the original array. This parameter is optional.

Working of NumPy zeros_like function

Whenever we have an array whose values must be replaced with all zeroes and the array size and shape must be retained as the original array, we make use of a function called zeros like function in numpy.

The zeros like functions take four parameters arrayname, datatype, memoryorder, and subok, among which the datatype and subok parameters are optional.

datatype represents the data type of the value stored in the array whose name is represented by the first parameter arrayname.

memoryorder represents the order in the memory.

subok represents a Boolean value which is true if the array returned by using zeros like function is a subclass of the input array and false if the returned array is the same as the original array.

Examples of NumPy zeros_like

Different examples are mentioned below:

Example #1

Python program to demonstrate NumPy zeros like function to create an array using array function in numpy and then using zeros like function to replace the elements of the array with zeros:

#importing the package numpy import numpy as n #Creating an array by making use of array function in NumPy and storing it in a variable called orgarray orgarray = n.array([[1,2],[3,4]]) #Displaying the elements of orgarray followed by one line space by making use of n print ("The elements of the given array are:") print (orgarray) print ("n") #using zeros like function of NumPy and passing the created array as the parameter to that function to replace all the elements of the array with zeros and store it in a variable called zerosarray zerosarray = n.zeros_like(orgarray, float) #Displaying the array consisting of all zero elements print ("The array with all its elements zero after using zeros like function is as follow:") print (zerosarray)

Output:

In the above program, we are importing the package numpy, which allows us to make use of the functions array and zeros_like. Then we are creating an array called orgarray by making use of the array function in numpy. Then the elements of the array orgarray are displayed on the screen. Then we are making using zeros_like function, and the newly created array orgarray is passed as a parameter to the function to convert all the elements of the array to zeros without changing the size and shape of the array, and the resulting array is stored in a variable called zerosarray. Finally, the elements of the zerosarray are displayed on the screen.

Example #2

Python program to demonstrate NumPy zeros like function to create an array using array function in numpy and then using zeros like function to replace the elements of the array with zeros:

#importing the package numpy import numpy as n #Creating an array by making use of array function in NumPy and storing it in a variable called orgarray orgarray = n.array([[5,6],[7,8]]) #Displaying the elements of orgarray followed by one line space by making use of n print ("The elements of the given array are:") print (orgarray) print ("n") #using zeros like function of NumPy and passing the created array as the parameter to that function to replace all the elements of the array with zeros and store it in a variable called zerosarray zerosarray = n.zeros_like(orgarray, int) #Displaying the array consisting of all zero elements print ("The array with all its elements zero after using zeros like function is as follow:") print (zerosarray)

Output:

In the above program, we are importing the package numpy, which allows us to make use of the functions array and zeros_like. Then we are creating an array called orgarray by making use of the array function in numpy. Then the elements of the array orgarray are displayed on the screen. Then we are making using the zeros_like function. The newly created array orgarray is passed as a parameter to the function to convert all the elements of the array to zeros without changing the size and shape of the array. The datatype int is also passed as the parameter, which displays the zeros in the resulting array as integer values. Then the resulting array is stored in a variable called zerosarray. Finally, the elements of zerosarray are displayed on the screen.

Conclusion

In this tutorial, we understand the concept of NumPy zeros like function in Python through definition, the syntax of zeros like function, and the working of zeros like functions through programming examples and their outputs.

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Types Of Graphs With Examples

A graph is a non-linear data structure that consists of vertices and edges. The vertices contain the information or data, and the edges work as a link between pair of vertices.

Graphs can be of multiple types, depending on the position of the nodes and edges. Here’re some important types of Graphs:

Directed Graph

The edges of the Directed Graph contain arrows that mean the direction. The arrow determines where the edge is pointed to or ends.

Here’s an example of the Directed Graph.

Directed Graph

We can go from Node A to D.

However, we can’t go from node D to node A as the edge points from A to D.

As the Graph does not have weights, traveling from vertex A to D will cost the same as traveling from D to F.

Undirected Graph

Undirected Graph contains edges without pointers. It means we can travel vice versa between two vertices.

Here’s a simple example of the undirected Graph.

Undirected Graph

In the above Graph,

We can move from A to B

We can also move from B to A

Edges contain no directions.

It’s an example of an undirected graph having a finite number of vertices and edges with no weights.

Weighted Graph

Graph that contains weights or costs on the edges is called a weighted Graph. The numerical value generally represents the moving cost from one vertex to another vertex. Both Directed and Undirected Graph can have weights on their edges.

Here’s an example of a weighted graph (Directed).

Directed Graph with weight

A to B, there’s an edge, and the weight is 5, which means moving from A to B will cost us 5.

A point to B, but in this Graph, B has no direct edge over A. So, we can’t travel from B to A.

However, If we want to move from A to F, there are multiple paths. The paths are ADF, ABF. ADF will cost (10+11) or 21.

Here, the path ABF will cost (5+15) or 20. Here we’re adding the weight of each edge in the path.

Here’s an example of an Undirected Graph with weights:

Undirected Graph with weight

Here, the edge has weight but no direction. So, it means traveling from vertex A to D will cost 10 and vice versa.

Bi-Directional Graph

Bi-directional and undirected graphs have a common property. That is

Generally, the undirected Graph can have one edge between two vertexes.

For example:

Here, moving from A to D or D to A will cost 10.

In a Bi-Directional Graph, we can have two edges between two vertices.

Here’s an example:

Bi-Directional Graph

Traveling from A to D will cost us 17, but traveling from D to A will cost us 12. So, we can’t assign two different weights if it is an undirected graph.

Infinite Graph

The Graph will contain an infinite number of edges and nodes. If a graph is Infinite and it’s also a connected graph, then it will contain an infinite number of edges as well. Here, the extended edges mean that more edges might be connected to these nodes via edges.

Here’s an example of the infinite Graph:

Infinite Graph

Null Graph

Null Graph contains only nodes or vertices but with no edges. If given a Graph G = (V, E), where V is vertices and E is edges, it will be null if the number of edges E is zero.

Here’s an example of a Null Graph:

Null Graph

Trivial Graph

A graph data structure is considered trivial if only one vertex or node is present with no edges.

Here’s an example of a Trivial Graph:

Multi Graph

A graph is called a multigraph when multiple edges are present between two vertices, or the vertex has a loop. The term “Loop” in Graph Data Structure means an edge pointing to the same node or vertex. Multigraph can be directed or undirected.

Here’s an example of a Multi Graph:

There’re two edges from B to A. Moreover, vertex E has a self-loop. The above Graph is a directed graph with no weights on edges.

Complete Graph

A graph is complete if each vertex has directed or undirected edges with all other vertices.

Suppose there’s a total V number of vertices and each vertex has exactly V-1 edges. Then, this Graph will be called a Complete Graph. In this type of Graph, each vertex is connected to all other vertices via edges.

Here’s an example of a Complete Graph with five vertices:

You can see in the image the total number of nodes is five, and all the nodes have exactly four edges.

Connected Graph

A Graph is called a Connected graph if we start from a node or vertex and travel all the nodes from the starting node. For this, there should be at least one edge between each pair of nodes or vertices.

Here’s an example of a Connected Graph:

Here’s some explanation of the above Graph:

Assuming there’s no edge between C and F, we can’t travel from A to G. However, the edge C to F enables us to travel to any node from a given node.

A complete Graph is a Connected Graph because we can move from a node to any other node in the given Graph.

Cyclic Graph

A graph is said to be cyclic if there are one or more cycles present in the Graph.

Here’s an example of a Cyclic Graph:

Here, vertex A, B, and C form a cycle.

A graph can have multiple cycles inside it.

Directed Acyclic Graph (DAG)

A Graph is Called Directed Acyclic Graph or DAG if there’re no cycles inside a graph. DAG is important while doing the Topological Sort or finding the execution order. DAG is also important for creating scheduling systems or scanning dependency of resources etc. However, the above Graph above doesn’t contain any cycle inside.

Here’s a simple example of a Directed Acyclic Graph (DAG):

Cycle Graph

Cycle Graph is not the same as the cyclic Graph. In Cycle Graph, each node will have exactly two edges connected, meaning each node will have exactly two degrees.

Here’s an example of a Cycle Graph:

Bipartite Graph

These kinds of Graphs are special kinds of Graph where vertices are assigned to two sets.

Bipartite Graph must follow the rule:

Two sets of vertices should be distinct, which means all the vertices must be divided into two groups or sets.

Same set Vertices should not form any edges.

Euler Graph

A Graph Data Structure is said to be an Euler Graph if all the vertices have an even-numbered degree. The term degree of vertices means the number of edges pointing to or pointing out from a particular vertex.

Here’s an example of a Euler graph:

All the vertices have even degrees. Vertex A, D, E, and H have two degrees. Here, node C has four degrees, which is even.

Hamilton Graph

Hamilton Graph is a Connect Graph, where you can visit all the vertices from a given vertex without revisiting the same node or using the same edge. This kind of Connected Graph is known as the “Hamilton Graph.” The path you visit to verify if the given Graph is Hamilton Graph or not is known as Hamiltonian Path.

Here’s a simple example of a Hamilton graph:

In this image, we can visit all the vertices from any node in the above Graph. One of the paths can be A-D-C-H-B-E. It’s also possible to find a Hamilton Cycle. Hamilton Cycle starts and ends at the same vertex. So, the Hamilton Cycle will be A-D-C-H-B-E-A.

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