Let G be the graph on vertices V1, V2, ..., , V8 with the following adjacency matrix: 1 0 0 0 0 0 1 1 0 1 0 0 0 01 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 000001 001 00010000 00000 00 0 00010 1 1 1 0000 Sketch all the graphs (up to isomorphism) on four vertices that are isomorphic to an induced subgraph of G (identifying a suitable induced subgraph in each case).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let G be the graph on vertices V1, V2, ..., , V8 with the following adjacency matrix:
1 0 0 0 0 0 1
1 0 1 0 0 0 01
0 1 0 0 1 0 0 1
0 0 0 0 0 1 1 0
000001
001
00010000
00000
00
0
00010
1 1 1 0000
Sketch all the graphs (up to isomorphism) on four vertices that are isomorphic
to an induced subgraph of G (identifying a suitable induced subgraph in each
case).
Transcribed Image Text:Let G be the graph on vertices V1, V2, ..., , V8 with the following adjacency matrix: 1 0 0 0 0 0 1 1 0 1 0 0 0 01 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 000001 001 00010000 00000 00 0 00010 1 1 1 0000 Sketch all the graphs (up to isomorphism) on four vertices that are isomorphic to an induced subgraph of G (identifying a suitable induced subgraph in each case).
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