   Chapter 10.3, Problem 1TY ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
131 views

# If G and G’ are graphs, then G is isomorphic to G’ if, and only if, there exist a one-to-one correspondence g from the vertex set of G to the vertex set of G’ and a one-to-one correspondence h from the edge set of G to the edge set of G’ such that for every vertex v and every edge e in G, v is an endpoint of e if, and only if, .

To determine

To fill:

If G and G are graphs, then G is isomorphic to G if, and only if, there exist a one-to-one correspondence g from the vertex set of G to the vertex set of G and a one-to-one correspondence h from the edge set of G to the edge set of G such that for all vertices v and edges e in G, v is an endpoint of e if, and only if, _____.

Explanation

Calculation:

If G and G are graphs, then G is isomorphic to G if, and only if, there exist a one-to-one correspondence g from the vertex set of G to the vertex set of G and a one-to-one correspondence h f

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