Exploring Graph Theory Concepts

A cycle graph $$C_n$$ is a graph that consists of a single cycle, where each of the $$n$$ vertices is connected in a closed loop. Each vertex has degree 2.

In a complete graph with order 5, each vertex has a degree of 4.

A complete graph $$K_n$$ has $$\frac{n(n-1)}{2}$$ edges.

There are 10 edges in a complete graph $$K_5$$ .

A path is a sequence of edges that connects a sequence of vertices without revisiting any vertex.

A complete graph is a graph in which every pair of distinct vertices is connected by a unique edge.

The degree of a vertex is the number of edges incident to it.

In a cycle graph $$C_n$$ , the degree of each vertex is 2.

The order of a graph is the number of vertices in the graph.

A graph is connected if there is a path between every pair of vertices.