Vol. 41, No. 1, 1972

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On the genus of the composition of two graphs

Arthur Thomas White

Vol. 41 (1972), No. 1, 275–279
Abstract

Given two graphs G and H, a new graph G(H), called the composition (or lexicographic product) of G and H, can be formed. In this paper, a formula is developed to give the genus for a large class of lexicographic products. In the simplest special case, the genus of the product is given by the first Betti number of one of the factors.

Mathematical Subject Classification 2000
Primary: 05C10
Milestones
Received: 22 May 1970
Published: 1 April 1972
Authors
Arthur Thomas White