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A NOTE ON EDGE-CONNECTIVITY OF THE CARTESIAN PRODUCT OF GRAPHS

Part of: Graph theory

Published online by Cambridge University Press:  06 June 2011

LAKOA FITINA ,
C. T. LENARD  and
T. M. MILLS
LAKOA FITINA
Affiliation:
Department of Mathematics and Computing Science, Divine Word University, PO Box 483, Madang, Papua New Guinea (email: [email protected])
C. T. LENARD
Affiliation:
Department of Mathematics and Statistics, La Trobe University, PO Box 199, Bendigo, Victoria 3552, Australia (email: [email protected])
T. M. MILLS*
Affiliation:
Department of Mathematics and Statistics, La Trobe University, PO Box 199, Bendigo, Victoria 3552, Australia (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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The main aim of this paper is to establish conditions that are necessary and sufficient for the edge-connectivity of the Cartesian product of two graphs to equal the sum of the edge-connectivities of the factors. The paper also clarifies an issue that has arisen in the literature on Cartesian products of graphs.

Keywords

graph theoryCartesian productsedge-connectivity

MSC classification

Secondary: 05C40: Connectivity
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 84 , Issue 1 , August 2011 , pp. 171 - 176
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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