Mathematics: HELPPPPPP LOOK AT THE PICTURES

We know that the sum of the degrees of the vertices of the graph is twice the number of edges of the graph. Let be a graph with vertices Then where is the number of edges of the graph. Since the graph is regular of degree r then all vertices have degree r. Thus,...

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ZachLaVine2016

26.05.2021

Mathematics

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dontcareanyonemo

18.06.2020

Mathematics

We know that the sum of the degrees of the vertices of the graph is twice the number of edges of the graph.

Let be a graph with vertices $v_1,v_2,\cdots,v_n$

Then $\sum_{i=1}^ndeg(v_i)=2e\\$ where is the number of edges of the graph. Since the graph is regular of degree r then all vertices have degree r. Thus,

$\sum_{i=1}^n r=2e\\nr=2e\\e=\frac{nr}{2}$

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