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Abstract
A vertex of a graph is said to dominate itself and all of its neighbors. A double dominating set of a graph G is a set D of vertices of G such that every vertex of G is dominated by at least two vertices of D. The double domination number of a graph G is the minimum cardinality of a double dominating set of G. For a graph G=(V,E), a subset D subseteq V(G) is a 2-dominating set if every vertex of V(G)D has at least two neighbors in D, while it is a 2-outer-independent dominating set of G if additionally the set V(G)D is independent. The 2-outer-independent domination number of G is the minimum cardinality of a 2-outer-independent dominating set of G. We characterize all trees with double domination number equal to 2-outer-independent domination number plus one.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
CHINESE ANNALS OF MATHEMATICS SERIES B
no. 33,
pages 113 - 126,
ISSN: 0252-9599 - Language:
- English
- Publication year:
- 2012
- Bibliographic description:
- Krzywkowski M.: On trees with double domination number equal to 2-outer-independent domination number plus one// CHINESE ANNALS OF MATHEMATICS SERIES B. -Vol. 33, nr. 1 (2012), s.113-126
- Verified by:
- Gdańsk University of Technology
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