Let G be a graph with vertex set V(G) = {v1, v2, V3, V4, V5, V6, V7} and edge set E(G) = {v1v2, V2V3, VZV4, V4V5, V4V1, V3V5, V6V1, V6V2, V6V4, V7V2, V7V3, V7V4} Let H be a graph with vertex set V (H)= {u1, U2, U3, U4, U5, U6, U7} and edge set E(H)={u1u2, U1U5, U2U3, U2U4, UQU5, U2U7, UZU6, UZU7, U4U5, UĄU6, U5U6, U6U7} 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) = {v1, v2, V3, V4, V5, V6, V7} and edge set E(G) = {v1v2, V2V3, VZV4, V4V5, V4V1, V3V5, V6V1, V6V2, V6V4, V7V2, V7V3, V7V4} Let H be a graph with vertex set V (H)= {u1, U2, U3, U4, U5, U6, U7} and edge set E(H)={u1u2, U1U5, U2U3, U2U4, UQU5, U2U7, UZU6, UZU7, U4U5, UĄU6, U5U6, U6U7} 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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 30E
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Question
![Let G be a graph with vertex set
V(G) = {v1, v2, V3, V4, V5, V6, V7}
and edge set
E(G) = {v1v2, V2V3, VZV4, V4V5, V4V1, V3V5, V6V1, V6V2, V6V4, V7V2, V7V3, V7V4}
Let H be a graph with vertex set
V (H)= {u1, U2, U3, U4, U5, U6, U7} and edge set
E(H)={u1u2, U1U5, U2U3, U2U4, UQU5, U2U7, UZU6, UZU7, U4U5, UĄU6, U5U6, U6U7}
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45c6acb1-6885-46a5-bedc-1345b796c15a%2F91cea592-ee05-4e11-931e-1a23478a4f05%2F2pd41vd_processed.png&w=3840&q=75)
Transcribed Image Text:Let G be a graph with vertex set
V(G) = {v1, v2, V3, V4, V5, V6, V7}
and edge set
E(G) = {v1v2, V2V3, VZV4, V4V5, V4V1, V3V5, V6V1, V6V2, V6V4, V7V2, V7V3, V7V4}
Let H be a graph with vertex set
V (H)= {u1, U2, U3, U4, U5, U6, U7} and edge set
E(H)={u1u2, U1U5, U2U3, U2U4, UQU5, U2U7, UZU6, UZU7, U4U5, UĄU6, U5U6, U6U7}
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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