# What Is Directed Graph Data Structure?

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Angela Bailey

A directed graph is a data structure that consists of a set of vertices (or nodes) connected by edges, where the edges have a specific direction. Unlike an undirected graph, where edges are bidirectional, in a directed graph, the edges have a specific origin and destination. This data structure is also known as a digraph.

## Basic Definitions

Before diving deeper into directed graphs, it’s important to understand some basic definitions:

• Vertex: Also referred to as a node, it represents an entity or object in the graph. Each vertex can have zero or more outgoing and incoming edges.
• Edge: An edge represents a connection or relationship between two vertices. It has a direction from the source vertex (tail) to the destination vertex (head).
• Outdegree: The outdegree of a vertex refers to the number of outgoing edges from that vertex.
• Indegree: The indegree of a vertex refers to the number of incoming edges to that vertex.

## Representation

A directed graph can be represented in various ways. Two commonly used representations are:

In this representation, each vertex maintains a list of its neighboring vertices. It can be implemented using an array of linked lists or using associative arrays (hash maps).

``````<ul>
<li>Vertex A: [B, C]</li>
<li>Vertex B: [C]</li>
<li>Vertex C: []</li>
</ul>
```
```

In this representation, a matrix of size VxV is used, where V is the number of vertices in the graph. Each cell (i, j) in the matrix represents an edge from vertex i to vertex j.

``````<table>
<tr>
<th>          A</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">1</td>
</tr>
<tr>
<td>B</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">1</td>
</tr>
<tr<;
>&l..

What Is a Directed Graph Data Structure?

A directed graph data structure, also known as a digraph, is a type of graph in which edges have a specific direction. In other words, the relationship between nodes is one-way. This makes directed graphs particularly useful for representing various real-world scenarios such as networks, relationships, and dependencies.

What Is Meant by Directed Graph in Data Structure?

A directed graph, also known as a digraph, is a type of data structure used in computer science to represent relationships between objects. In a directed graph, each object is represented by a vertex or node, and the relationships between objects are represented by edges or arcs. Definition
A directed graph is defined as a set of vertices and a set of edges.

What Is a Directed Multigraph in Data Structure?

A directed multigraph is a data structure that represents a collection of vertices and edges, where each edge has a specific direction associated with it. In this article, we will explore the concept of directed multigraphs and understand how they can be used in various applications. What is a Multigraph?

What Is Graph Data Structure in Computer Science?

In computer science, the graph data structure is a fundamental concept used to represent relationships between objects. It is widely used in various applications such as social networks, routing algorithms, and recommendation systems. A graph consists of a set of vertices or nodes connected by edges or arcs.

What Is Data Structure in Project?

What Is Data Structure in Project? Data structure is a fundamental concept in computer science and plays a crucial role in the development of any project. It refers to the way data is organized, stored, and manipulated within a computer program or system.

What Is Data Structure in Software Design?

In software design, data structure refers to the way data is organized and stored in a computer’s memory. It plays a crucial role in the efficiency and performance of algorithms and data manipulation operations. Understanding data structures is essential for every software developer as it helps in solving complex problems and optimizing code execution.

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