= Two graphs G = (V, E) and H (W, F) are called isomorphic if there exists a bijection f : V→ W such that any two vertices u and w of V are adjacent in G if and only if their images f(u) and f(v) are adjacent in H. In other words two graphs are isomorphic are the same up to some relabelling of their vertices. Draw the eleven non-isomorphic graphs on four vertices. Hint: if n; denotes the number of non- isomorphic graphs on four vertices with i edges then (no, n₁, ..., n6) = (1, 1, 2, 3, 2, 1, 1).
= Two graphs G = (V, E) and H (W, F) are called isomorphic if there exists a bijection f : V→ W such that any two vertices u and w of V are adjacent in G if and only if their images f(u) and f(v) are adjacent in H. In other words two graphs are isomorphic are the same up to some relabelling of their vertices. Draw the eleven non-isomorphic graphs on four vertices. Hint: if n; denotes the number of non- isomorphic graphs on four vertices with i edges then (no, n₁, ..., n6) = (1, 1, 2, 3, 2, 1, 1).
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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Transcribed Image Text:Two graphs G = (V, E) and H= (W, F) are called isomorphic if there exists a bijection f : V → W
such that any two vertices u and w of V are adjacent in G if and only if their images f(u) and f(v)
are adjacent in H. In other words two graphs are isomorphic are the same up to some relabelling
of their vertices.
Draw the eleven non-isomorphic graphs on four vertices. Hint: if n; denotes the number of non-
isomorphic graphs on four vertices with i edges then (no, n₁, ..., ‚ ná) = (1, 1, 2, 3, 2, 1, 1).
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