Download PDF - Efficient (j,k)-domination
ArticleOriginal scientific text
Title
Efficient (j,k)-domination
Authors 1, 2
Affiliations
- Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899, USA
- Department of Computer Science, University of Alabama in Huntsville, Huntsville, AL 35899, USA
Abstract
A dominating set S of a graph G is called efficient if |N[v]∩ S| = 1 for every vertex v ∈ V(G). That is, a dominating set S is efficient if and only if every vertex is dominated exactly once. In this paper, we investigate efficient multiple domination. There are several types of multiple domination defined in the literature: k-tuple domination, {k}-domination, and k-domination. We investigate efficient versions of the first two as well as a new type of multiple domination.
Keywords
efficient domination, multiple domination
Bibliography
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Pages:
409-423
Main language of publication
English
Received
2006-04-01
Accepted
2006-05-16
Published
2007
DOI: 10.7151/dmgt.1371
Exact and natural sciences