Graph Theory Questions Medium
In graph theory, a cycle in a graph refers to a path that starts and ends at the same vertex, without repeating any other vertices or edges. In other words, it is a closed path that visits a sequence of vertices and edges, ultimately returning to the starting vertex. The length of a cycle is determined by the number of edges it contains. A cycle with three edges is called a triangle, while a cycle with four edges is called a quadrilateral, and so on. Cycles play a significant role in graph theory as they help identify various properties and characteristics of graphs, such as connectivity, planarity, and Hamiltonian cycles.