Abstract
A set S of vertices in a graph G is a total dominating set if every vertex of G is adjacent to some vertex in S. The minimum cardinality of a total dominating set of G is the total domination number of G. A graph is total domination vertex removal stable if the removal of an arbitrary vertex leaves the total domination number unchanged. On the other hand, a graph is total domination vertex removal changing if the removal of an arbitrary vertex changes the total domination number. In this paper, we study total domination vertex removal changing and stable graphs.
Original language | English |
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Pages (from-to) | 1548-1554 |
Number of pages | 7 |
Journal | Discrete Applied Mathematics |
Volume | 159 |
Issue number | 15 |
DOIs | |
Publication status | Published - 6 Sept 2011 |
Keywords
- Total domination
- Vertex removal changing
- Vertex removal stable
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics