Please show would working thanks From a graph G = (V, E), with vertices v; E V and edges e; € E, the prism of the graph,P(G) = (Vp, Ep), is formed as follows:Let V' be a copy of V with vertices vị, and E' a copy of E with edges e. NowV, = VUV', andE, = EU E'U {(vi, v?)|v; E V }.An example of a graph and its prism is shown below.(a) If a graph G has n vertices and k edges, find formulae for the number of verticesand the number of edges in P(G) in terms of n and k.(b) Explain why none of the following can be the prism of any connected graph:i. A graph with 9 vertices.ii. A graph with 10 vertices and 10 edges.iii. A simple graph with 3 edges.

Answered: An example of a graph and its prism is…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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