ArticleOriginal scientific text
Title
On dominating the Cartesian product of a graph and K₂
Authors 1, 2
Affiliations
- Saint Mary's University, Halifax, Nova Scotia, Canada B3H 3C3
- Furman University, Greenville, SC 29613 USA
Abstract
In this paper we consider the Cartesian product of an arbitrary graph and a complete graph of order two. Although an upper and lower bound for the domination number of this product follow easily from known results, we are interested in the graphs that actually attain these bounds. In each case, we provide an infinite class of graphs to show that the bound is sharp. The graphs that achieve the lower bound are of particular interest given the special nature of their dominating sets and are investigated further.
Keywords
domination, 2-packing, Cartesian product
Bibliography
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Pages:
389-402
Main language of publication
English
Received
2003-01-20
Accepted
2004-03-30
Published
2004
DOI: 10.7151/dmgt.1238
Exact and natural sciences