Document Type
Journal Article
Department/Unit
Department of Mathematics
Title
Some results on matching and total domination in graphs
Language
English
Abstract
Let G be a graph. A set S of vertices of G is called a total dominating set of G if every vertex of G is adjacent to at least one vertex in S. The total domination number γt(G) and the matching number α'(G) of G are the cardinalities of the minimum total dominating set and the maximum matching of G, respectively. In this paper, we introduce an upper bound of the difference between γt(G) and α'(G). We also characterize every tree T with γt(T) ≤ α'(T), and give a family of graphs with γt(G) ≤ α'(G).
Keywords
Induced matching number, Matching number, Total domination number
Publication Date
2010
Source Publication Title
Applicable Analysis and Discrete Mathematics
Volume
4
Issue
2
Start Page
241
End Page
252
Publisher
University of Belgrade and Academic Mind
DOI
10.2298/AADM100219017S
Link to Publisher's Edition
http://dx.doi.org/10.2298/AADM100219017S
ISSN (print)
14528630
Recommended Citation
Shiu, Wai Chee, Xue-gang Chen, and Wai Hong Chan. "Some results on matching and total domination in graphs." Applicable Analysis and Discrete Mathematics 4.2 (2010): 241-252.