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On the Cube of a Graph

Published online by Cambridge University Press:  20 November 2018

Jerome J. Karaganis*
Affiliation:
Western Michigan University
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The nth power Gn of a connected graph G is the graph with the same point set as G and where two points u and v are adjacent in Gn if and only if the distance between u and v in G is at most n. The graph G2 is called the square of G while G3 is referred to as the cube of G.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1968