3)Let (V, E) be the graph with vertices a, b, c, d, e, f, andg, and edges ab, ac, bc, bd, be, cd, ce, de, af, df, ag, and eg.(a) Draw this graph.(b) Write down this graph's incidence table and its incidence matrix.(c) Write down this graph's adjacency table and its adjacency matrix.(d) Is this graph complete? Justify your answer.(e) Is this graph bipartite? Justify your answer.(f) Is this graph regular? Justify your answer.(g) Does this graph have any regular subgraph? Justify your answer.(h) Give an example of an isomorphism from the graph (V, E) toitself satisfying that p(a) = a.(i) Is the isomorphism from part (h) unique or can you find anotherisomorphism that is distinct from but also satisfies that (a)a? Justify your answer.

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Answered: 3) Let (V, E) be the graph with…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter12: Angle Relationships And Transformations

Section12.5: Reflections And Symmetry

Problem 20E

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3) Let (V, E) be the graph with vertices a, b, c, d, e, f, and g, and edges ab, ac, bc, bd, be, cd, ce, de, af, df, ag, and eg. (a) Draw this graph. (b) Write down this graph's incidence table and its incidence matrix. (c) Write down this graph's adjacency table and its adjacency matrix.