| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 419648 | Discrete Applied Mathematics | 2009 | 13 Pages |
Abstract
In this paper, we continue the study of paired-domination in graphs introduced by Haynes and Slater [T.W. Haynes, P.J. Slater, Paired-domination in graphs, Networks 32 (1998), 199–206]. A paired-dominating set of a graph GG with no isolated vertex is a dominating set SS of vertices whose induced subgraph has a perfect matching. We consider paired-dominating sets which are also locating sets, that is distinct vertices of GG are dominated by distinct subsets of the paired-dominating set. We consider three variations of sets which are paired-dominating and locating sets and investigate their properties.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
John McCoy, Michael A. Henning,