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Question 8 Consider the following graphs, each with vertex set V = {1, 2, 3, 4, 5, 6}, G1 = (V, E1), where E1 = {{1, 2}, {2, 3}, {2, 6}, {3, 5},{4, 5}, {5, 6}}, G2 = (V, E2), where E2 = {{1, 2}, {2, 5}, {2, 6}, {3, 4}, {3, 5}, {3, 6}}. Write down the degree of each vertex for both graphs. Write down an explicit isomorphism between them.

Question 8 Consider the following graphs, each with vertex set V = {1, 2, 3, 4, 5, 6}, G1 = (V, E1), where E1 = {{1, 2}, {2, 3}, {2, 6}, {3, 5},{4, 5}, {5, 6}}, G2 = (V, E2), where E2 = {{1, 2}, {2, 5}, {2, 6}, {3, 4}, {3, 5}, {3, 6}}. Write down the degree of each vertex for both graphs. Write down an explicit isomorphism between them.

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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Question 8 Consider the following graphs, each with vertex set V = {1, 2, 3, 4, 5, 6}, G1 = (V, E1), where E = {{1, 2}, {2, 3}, {2, 6}, {3, 5}, {4, 5}, {5, 6}}, G2 = (V, E2), where E = {{1, 2}, {2, 5}, {2, 6}, {3, 4}, {3, 5}, {3, 6}}. Write down the degree of each vertex for both graphs. Write down an explicit isomorphism between them.
Transcribed Image Text:Question 8 Consider the following graphs, each with vertex set V = {1, 2, 3, 4, 5, 6}, G1 = (V, E1), where E = {{1, 2}, {2, 3}, {2, 6}, {3, 5}, {4, 5}, {5, 6}}, G2 = (V, E2), where E = {{1, 2}, {2, 5}, {2, 6}, {3, 4}, {3, 5}, {3, 6}}. Write down the degree of each vertex for both graphs. Write down an explicit isomorphism between them.
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