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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).

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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- 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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