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4. Draw every simple graph with five vertices and four edges (isolated vertices are allowed) up to isomorphism (if two graphs are isomorphic, just draw one of them).

4. Draw every simple graph with five vertices and four edges (isolated vertices are allowed) up to isomorphism (if two graphs are isomorphic, just draw one of them).

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 80EQ
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- Discrete mathemstics. isomorphic 

4. Draw every simple graph with five vertices and four edges (isolated vertices are allowed) up to isomorphism (if two graphs are isomorphic, just draw one of them). 5. Consider the following directed graph (left) and its underlying simple graph (right). a (a) circle them if you'd like to). What are the strongly connected components of the directed graph? (You can just and a Euler path (b) Write down a vertex sequence for a Hamilton path ( simple graph. for the
Transcribed Image Text:4. Draw every simple graph with five vertices and four edges (isolated vertices are allowed) up to isomorphism (if two graphs are isomorphic, just draw one of them). 5. Consider the following directed graph (left) and its underlying simple graph (right). a (a) circle them if you'd like to). What are the strongly connected components of the directed graph? (You can just and a Euler path (b) Write down a vertex sequence for a Hamilton path ( simple graph. for the
6. Consider the following descriptions for one sample of six zones: Z1 matches B or D; Z2 matches C, E, or F; Z3 matches A or F; Z4 matches B or D; Z5 matches C or F; and Z6 matches D. (a) (A-F). Draw the bipartite graph that models the zones (Z1-Z6) and the letters they match Use Hall's theorem to determine if algorithm will be able to successfully create a (b) , district layout. 7. Determine if the given pair of graphs are isomorphic. Exhibit an isomorphism or provide a valid argument that none exists. 6.
Transcribed Image Text:6. Consider the following descriptions for one sample of six zones: Z1 matches B or D; Z2 matches C, E, or F; Z3 matches A or F; Z4 matches B or D; Z5 matches C or F; and Z6 matches D. (a) (A-F). Draw the bipartite graph that models the zones (Z1-Z6) and the letters they match Use Hall's theorem to determine if algorithm will be able to successfully create a (b) , district layout. 7. Determine if the given pair of graphs are isomorphic. Exhibit an isomorphism or provide a valid argument that none exists. 6.
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