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Let G be a graph with vertex set V(G) = {vi, v2, v3, V4, V5, V6, V7} and edge set E(G) = {v}v2, v2v3, VZV4, V4U5, V4V1 , VVZV5, V6V1 , VGV2, VGV4, V7 U2, U7U3, V7V4} Let H be a graph with vertex set V(H) = {u1, u2, u3, U4, U5, U6, U7} and edge set E(H) = {u,u2, uj us, uzu3, uqu4, UzU5, uzu7, uzu6, UzU7, UşU5, UşU6, U5 U6, UŞU7} Are the graphs G and H isomorphic? If they are, then give a bijection f : V(G) V(H) that certifies this, and if they are not, explain why they are not.

Let G be a graph with vertex set V(G) = {vi, v2, v3, V4, V5, V6, V7} and edge set E(G) = {v}v2, v2v3, VZV4, V4U5, V4V1 , VVZV5, V6V1 , VGV2, VGV4, V7 U2, U7U3, V7V4} Let H be a graph with vertex set V(H) = {u1, u2, u3, U4, U5, U6, U7} and edge set E(H) = {u,u2, uj us, uzu3, uqu4, UzU5, uzu7, uzu6, UzU7, UşU5, UşU6, U5 U6, UŞU7} Are the graphs G and H isomorphic? If they are, then give a bijection f : V(G) V(H) that certifies this, and if they are not, explain why they are not.

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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Let G be a graph with vertex set V(G) = {v1, vV2, V3, V4, V5, V6, v7} and edge set E(G) = {v,v2, v2v3, VZV4, V4V5, V4V1 , VZU5, V6V1 , VGV2, VBV4, V7 U2, V7U3, 07V4} Let H be a graph with vertex set V(H) = {u1, u2, U3, U4, U5, U6, U7} and edge set E(H) = {u,u2, u1 Us, Uzu3, UQU4, UQU5, UQU7, UZU6, UZU7, U4U5, U4U6, U5 U6, UGu;} Are the graphs G and H isomorphic? If they are, then give a bijection f : V(G) V(H) that certifies this, and if they are not, explain why they are not.
Transcribed Image Text:Let G be a graph with vertex set V(G) = {v1, vV2, V3, V4, V5, V6, v7} and edge set E(G) = {v,v2, v2v3, VZV4, V4V5, V4V1 , VZU5, V6V1 , VGV2, VBV4, V7 U2, V7U3, 07V4} Let H be a graph with vertex set V(H) = {u1, u2, U3, U4, U5, U6, U7} and edge set E(H) = {u,u2, u1 Us, Uzu3, UQU4, UQU5, UQU7, UZU6, UZU7, U4U5, U4U6, U5 U6, UGu;} Are the graphs G and H isomorphic? If they are, then give a bijection f : V(G) V(H) that certifies this, and if they are not, explain why they are not.
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