A graph has 6 vertices, and each vertex has a degree of 2 except for one vertex, which has a degree of 4. Determine the number of edges in the graph
Question
Solution 1
To determine the number of edges in the graph, we can use the Handshaking Theorem, which states that the sum of the degrees of all vertices in a graph is equal to twice the number of edges.
In this graph, we have 5 vertices with a degree of 2 and 1 vertex with a degree of 4.
So, the sum of the de Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
A graph has 6 vertices, and each vertex has a degree of 2 except for one vertex, which has a degree of 4. Determine the number of edges in the graph
If a graph has 8 vertices and 12 edges, then the degree of each vertex in the graph is:a.3b.6c.12d.10
A graph G has 21 edges, 3 vertices of degree 4 and other vertices are of degree 3. Findthe number of vertices in G.
(i) A graph G has 15 edges, 3 vertices of degree 4 and other vertices ofdegree 3. Find the number of vertices in G.
A connected planar graph having 6 vertices, 7 edges contains -------------regions.1537