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On the ratio between 2-domination and total outer-independent domination numbers of trees

Abstract

A 2-dominating set of a graph G is a set D of vertices of G such that every vertex of V(G)D has a at least two neighbors in D. A total outer-independent dominating set of a graph G is a set D of vertices of G such that every vertex of G has a neighbor in D, and the set V(G)D is independent. The 2-domination (total outer-independent domination, respectively) number of a graph G is the minimum cardinality of a 2-dominating (total outer-independent dominating, respectively) set of G. We investigate the ratio between 2-domination and total outer-independent domination numbers of trees.

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
CHINESE ANNALS OF MATHEMATICS SERIES B no. 34, edition 5, pages 765 - 776,
ISSN: 0252-9599
Language:
English
Publication year:
2013
Bibliographic description:
Krzywkowski M.: On the ratio between 2-domination and total outer-independent domination numbers of trees// CHINESE ANNALS OF MATHEMATICS SERIES B. -Vol. 34, iss. 5 (2013), s.765-776
DOI:
Digital Object Identifier (open in new tab) 10.1007/s11401-013-0788-6
Verified by:
Gdańsk University of Technology

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