three vertices of degree 4
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▷ Problem 92-35 Can there exist a graph with 13 vertices 31
Problem 9 2-35 Can there exist a graph with 13 vertices 31 edges 3 vertices of degree 1 and 7 vertices of degree 4? Explain Solution No there cannot |
• The graph G is called k-regular. regular. for a natural number k if all vertices have. degree k.
Graphs that are 3-regular are also called cubic cubic .
How do you find the degree of vertices?
One way to find the degree is to count the number of edges which has that vertx as an endpoint.
An easy way to do this is to draw a circle around the vertex and count the number of edges that cross the circle.
What is the degree of the vertex v4?
In fact, the degree of v4 is also 2.
Vertex v2 has 3 edges connected to it, so its degree is 3.
Vertex v3 has only one edge connected to it, so its degree is 1, and v5 has no edges connected to it, so its degree is 0.
Not all graphs are simple graphs.
What if a graph G has 21 edges 3 vertices of degree 4?
(.
8) Ans:It is given that graph G has 21 edges, thus total degree of graph is 42. it is also given that three vertices are of degree 4 and other vertices are degree 3.
Let number of vertices of degree 3 is y.
Then 3y + 4x3 = 42 ⇒y = (42 – 12) / 3 = 10.26 mai 2021
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