(a) Draw a picture of a simple (undirected) graph G whose adjacency matrix is 01001 0 1 0 0 A = 1 they are not isomorphic. 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 (b) Does there exist a graph with degree sequence (1, 1, 2, 3, 3)? If so, draw a picture of one such graph. If not, briefly explain. (c) Now consider following two graphs: Are K and L isomorphic? If so, give an isomorphism between them and verify that your function is an isomorphism; otherwise, clearly explain why XXX WI K L
(a) Draw a picture of a simple (undirected) graph G whose adjacency matrix is 01001 0 1 0 0 A = 1 they are not isomorphic. 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 (b) Does there exist a graph with degree sequence (1, 1, 2, 3, 3)? If so, draw a picture of one such graph. If not, briefly explain. (c) Now consider following two graphs: Are K and L isomorphic? If so, give an isomorphism between them and verify that your function is an isomorphism; otherwise, clearly explain why XXX WI K L
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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Transcribed Image Text:QUESTION 15.
(a) Draw a picture of a simple (undirected) graph G whose adjacency matrix is
0 1 0 0 1
1 0 0
1 0
0 1 0 1 0
0 0
1 0 1
1 0 0 1 0
A =
(b) Does there exist a graph with degree sequence (1, 1,2,3,3) ?
If so, draw a picture of one such graph. If not, briefly explain.
(c) Now consider following two graphs: Are K and L isomorphic? If so, give an isomorphism
between them and verify that your function is an isomorphism; otherwise, clearly explain why
XX WI
they are not isomorphic.
K
L
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