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On trees with equal domination and total outer-independent domination numbers

For a graph G=(V,E), a subset D subseteq V(G) is a dominating set if every vertex of V(G)D has a neighbor in D, while it is a total outer-independent dominating set if every vertex of G has a neighbor in D, and the set V(G)D is independent. The domination (total outer-independent domination, respectively) number of G is the minimum cardinality of a dominating (total outer-independent dominating, respectively) set of G. We characterize all trees with equal domination and total outer-independent domination numbers.

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Additional information

Category
Publikacja w czasopiśmie
Type
artykuł w czasopiśmie wyróżnionym w JCR
Language
angielski
Publication year
2015

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