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Consider the following two graphs G1 = {{a, b, c, d, e, f}, {ab, a f, ae, bc, bf, be, cd, cf, df, ef}}, and G2 = {{v1, v2, v3, v4, V5, V6}, {v1v2, v1V3, V1V4, V1 V5, V2V3, V2V6, V3V4, V3V5, V3 V6, V4V5}}, %3D (a) is the function d f a e U5 V1 V2 v6 V4 V3 a graph isomorphism? (b) can you construct a bijection of vertices that is not an isomorphism? explain. (c) provide a drawing that represents this isomorphism class.

Consider the following two graphs G1 = {{a, b, c, d, e, f}, {ab, a f, ae, bc, bf, be, cd, cf, df, ef}}, and G2 = {{v1, v2, v3, v4, V5, V6}, {v1v2, v1V3, V1V4, V1 V5, V2V3, V2V6, V3V4, V3V5, V3 V6, V4V5}}, %3D (a) is the function d f a e U5 V1 V2 v6 V4 V3 a graph isomorphism? (b) can you construct a bijection of vertices that is not an isomorphism? explain. (c) provide a drawing that represents this isomorphism class.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following two graphs G1 = {{a,b, c, d, e, f}, {ab, a f, ae, bc, bf, be, cd, cf, df, ef}}, and G2 = {{v1, v2, v3, v4, V5, V6}, {v1v2, v1V3, V1V4, V1 V5, V2V3, V2V6, V3V4, V3V5, V3 V6, V4V5}}, %3D (a) is the function b c d f a e U5 v2 V4 V3 a graph isomorphism? (b) can you construct a bijection of vertices that is not an isomorphism? explain. (c) provide a drawing that represents this isomorphism class.
Transcribed Image Text:Consider the following two graphs G1 = {{a,b, c, d, e, f}, {ab, a f, ae, bc, bf, be, cd, cf, df, ef}}, and G2 = {{v1, v2, v3, v4, V5, V6}, {v1v2, v1V3, V1V4, V1 V5, V2V3, V2V6, V3V4, V3V5, V3 V6, V4V5}}, %3D (a) is the function b c d f a e U5 v2 V4 V3 a graph isomorphism? (b) can you construct a bijection of vertices that is not an isomorphism? explain. (c) provide a drawing that represents this isomorphism class.
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