A characterization of graphs with disjoint dominating and paired-dominating sets

Justin Southey; Michael A. Henning

doi:10.1007/s10878-009-9274-1

A characterization of graphs with disjoint dominating and paired-dominating sets

Justin Southey, Michael A. Henning

University of KwaZulu-Natal

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

A dominating set of a graph is a set of vertices such that every vertex not in the set is adjacent to a vertex in the set, while a paired-dominating set of a graph is a set of vertices such that every vertex is adjacent to a vertex in the set and the subgraph induced by the set contains a perfect matching. In this paper, we provide a constructive characterization of graphs whose vertex set can be partitioned into a dominating set and a paired-dominating set.

Original language	English
Pages (from-to)	217-234
Number of pages	18
Journal	Journal of Combinatorial Optimization
Volume	22
Issue number	2
DOIs	https://doi.org/10.1007/s10878-009-9274-1
Publication status	Published - Aug 2011
Externally published	Yes

Keywords

Domination
Paired-domination
Vertex partition

ASJC Scopus subject areas

Computer Science Applications
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Theory and Mathematics
Applied Mathematics

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10.1007/s10878-009-9274-1

Cite this

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A characterization of graphs with disjoint dominating and paired-dominating sets

Abstract

Keywords

ASJC Scopus subject areas

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