Question

15.1 introduction to graph theory: problen
(1 point)
consider the graph given above.
(a) what is the number of vertices in this graph? 6
(b) what is the degree of vertex i? 3
(c) what is the degree of vertex h? 2
(d) how many components does the graph have?

Explanation:

Step1: Understand the concept of connected components

A connected component of a graph is a maximal sub - graph in which any two vertices are connected to each other by paths, and which is connected to no additional vertices in the super - graph.

Step2: Analyze the given graph

Looking at the graph with vertices \(J\), \(I\), \(K\), \(H\), \(L\), \(M\). All the vertices are connected to each other through the edges in the graph.

Answer:

\(1\)