|(a) Draw an undirected graph G1 represented by the following adjacency matrix: 0 1 1 0 1 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 00 1 0 0 0 1 1 0 1 0 0 1 1 1 1 1 0 Does G1 contain a Hamiltonian cycle? Explain (b) Determine which pairs of graphs G1 in part (a) and G2 and G3 shown below are isomorphic and which are not, and explain your answer. If you use any invariant property in your argument, explain why this property is an invariant. Texour answer. S G2 G3 3 5. 8. • 00

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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(a) Draw an undirected graph G1 represented by the following adjacency matrix:
0 1 0 0 0 0
0 1 0
1
1
1
0 0
1
1
1
1 0 0
1 0 0 0 1
0 0 1
0 0
1
1
1
1
0 0
0 1
1
1
1
0 0 0
1
1
Does G1 contain a Hamiltonian cycle? Explain
(b) Determine which pairs of graphs G1 in part (a) and G2 and G3 shown below are
isomorphic and which are not, and explain your answer. If you use any invariant property in
your argument, explain why this property is an invariant.
Tex our answer.
t
2
G2
G3
5.
7
8.
Transcribed Image Text:(a) Draw an undirected graph G1 represented by the following adjacency matrix: 0 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 0 0 1 1 Does G1 contain a Hamiltonian cycle? Explain (b) Determine which pairs of graphs G1 in part (a) and G2 and G3 shown below are isomorphic and which are not, and explain your answer. If you use any invariant property in your argument, explain why this property is an invariant. Tex our answer. t 2 G2 G3 5. 7 8.
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