**What Is Complete Graph in Data Structure With Example?**

A complete graph is a type of graph in data structure that contains all possible edges between its vertices. In other words, every vertex in a complete graph is connected to every other vertex.

## Properties of Complete Graph

__Vertices:__ A complete graph with ‘n’ vertices has a total of n(n-1)/2 edges.
__Degree:__ Each vertex in a complete graph has a degree of n-1, where ‘n’ is the total number of vertices.
__Connectivity:__ There is a direct edge between every pair of vertices in a complete graph.

## Example

Let’s consider an example to understand the concept better. Suppose we have a complete graph with 4 vertices: A, B, C, and D. In this case, we can connect each vertex to every other vertex using edges as follows:

- A — B
- A — C
- A — D
- B — C
- B — D
- C — D

This complete graph has a total of (4 * (4-1))/2 = 6 edges, and each vertex has a degree of 3 (n-1 = 4-1 = 3).

## Applications of Complete Graphs

Complete graphs find applications in various fields such as:

**Social Networks:** Complete graphs can model social networks where every person is connected to every other person.
**Transportation Networks:** Complete graphs can represent transportation networks where each location is directly connected to all other locations.
**Optimization:** Complete graphs are used in optimization problems, such as finding the shortest path or minimum spanning tree.

## In Conclusion

A complete graph in data structure is a graph where every vertex is connected to all other vertices. It has several properties, including the number of edges and the degree of each vertex.

Complete graphs have various applications in different fields, such as social networks and transportation networks. Understanding complete graphs can be beneficial when solving optimization problems or analyzing complex interconnected systems.

### 9 Related Question Answers Found

A complete graph is a type of graph in data structure that is characterized by having every pair of vertices connected by an edge. In other words, it is a graph in which there is a direct link between every pair of nodes or vertices. Properties of Complete Graphs
Complete graphs have several unique properties that distinguish them from other types of graphs:
Fully Connected: A complete graph is fully connected, meaning that there is an edge between every pair of vertices.

A complete graph is a type of data structure used in computer science and graph theory. In a complete graph, every pair of vertices is connected by an edge. This means that there are no isolated vertices or disconnected components; every vertex is directly connected to every other vertex in the graph.

A complete graph in data structure is a type of graph in which every pair of vertices is connected by an edge. In other words, it is a graph in which there is a direct edge between every pair of vertices. The complete graph is also known as the fully connected graph.

A complete graph data structure is a fundamental concept in computer science and graph theory. It is a type of graph where every pair of distinct vertices is connected by a unique edge. In other words, in a complete graph, there is an edge between every pair of nodes.

What Is Graph With Example in Data Structure? In data structure, a graph is a non-linear data structure that consists of nodes (also known as vertices) and edges. It is a powerful tool used to represent relationships between different entities.

What Is Graph in Data Structure With Example? In data structure, a graph is a non-linear data structure that consists of a set of vertices (also called nodes) and a set of edges that connect these vertices. Graphs are widely used in computer science and real-world applications to represent various relationships between objects.

The graph data structure is a fundamental concept in computer science and is widely used in various applications. It represents a collection of nodes or vertices connected by edges. The nodes can represent any entity, such as people, cities, web pages, or even abstract concepts.

HTML is a widely used markup language that allows us to structure and present content on the web. In this tutorial, we will explore the concept of a graph in data structures and understand its significance in various applications. What Is a Graph?

What Is Graph in Data Structure? A graph is a non-linear data structure that consists of a collection of nodes (also known as vertices) and edges. It is used to represent relationships between different entities.