A graph G has 4 vertices, of respective degrees 5,5,6,2. How many edges does G have?91836no such graph exists
Question
A graph G has 4 vertices, of respective degrees 5,5,6,2. How many edges does G have?91836no such graph exists
Solution
The graph you described cannot exist. The sum of the degrees of a graph is always an even number because each edge is connected to two vertices. However, the sum of the degrees you provided (5+5+6+2) is 18, which is an even number. But, no vertex can have a degree greater than n-1 (where n is the number of vertices). In this case, n-1 would be 3, but there are vertices with degrees of 5 and 6. Therefore, such a graph does not exist.
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
A planar drawing of a connected graph G𝐺 has four faces, whose degrees are 3, 4, 5 and 8 respectively.How many edges does the graph have? Answer 1 Question 2How many vertices does the graph have?
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.
Consider a simple undirected graph with 6 vertices. The degrees of the vertices in this graph are as follows: vertex A has degree 3, vertex B has degree 2, vertex C has degree 4, vertex D has degree 3, vertex E has degree 3, and vertex F has degree 1. Calculate the number of edges in the graph.a.6b.7c.8d.12
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.