Consider the graph with vertex set 5A, B, C, D, E6 and edge list AD, AE, BC, BD, DD, DE

Chapter 5, Problem 7

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QUESTION:

Consider the graph with vertex set 5A, B, C, D, E6 and edge list AD, AE, BC, BD, DD, DE. Without drawing a picture of the graph, (a) list all the vertices adjacent to D. (b) list all the edges adjacent to BD. (c) find the degree of D. (d) find the sum of the degrees of the vertices

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QUESTION:

Consider the graph with vertex set 5A, B, C, D, E6 and edge list AD, AE, BC, BD, DD, DE. Without drawing a picture of the graph, (a) list all the vertices adjacent to D. (b) list all the edges adjacent to BD. (c) find the degree of D. (d) find the sum of the degrees of the vertices

ANSWER:

Step 1 of 4

(a)

The vertices adjacent to  are vertices that have a direct connection (edge) with . From the edge list we can see that that are  and .

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