   Chapter 10.3, Problem 17ES ### 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
4 views

# Draw all nonisomorphic graphs with four vertices and no more that two edges.

To determine

Draw all nonisomorphic graphs with four vertices and no more than two edges.

Explanation

Given information:

nonisomorphic graphs with four vertices and no more than two edges.

Calculation:

Two graphs are G and G’ (with vertices V ( G ) and V(G) respectively and edges E ( G ) and E(G) respectively) are isomorphic if there exists one-to-one correspondence such that

[u,v] is an edge in G[g(u),g(v)] is an edge of G.

We are interested in all nonisomorphic simple graphs with 4 vertices and at most 2 edges. Since the graph is not simple, parallel edges and loops can occur in the graph

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