## Simple graph

### A simple graph is a mathematical representation of a set of objects, called vertices or nodes, and the connections between them, called edges

A simple graph is a mathematical representation of a set of objects, called vertices or nodes, and the connections between them, called edges. It is a type of mathematical structure used to model relationships and interactions between different entities.

In a simple graph, each edge connects two distinct vertices, and there are no self-loops (an edge connecting a vertex to itself) or multiple edges (more than one edge between two vertices). The edges can be either directed (forming a directed graph) or undirected (forming an undirected graph).

For example, let’s consider a simple graph representing a social network. The vertices would be the individuals, and the edges would represent friendships or connections between these individuals. If Alice and Bob are friends, there would be an edge connecting the corresponding vertices representing Alice and Bob.

Simple graphs can be used to solve various problems and analyze relationships and networks in various fields such as computer science, social sciences, and biology. They provide a powerful tool for understanding and studying complex systems.

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