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On -domination and -independence in graphs

✍ Scribed by Hansberg, Adriana; Pepper, Ryan


Book ID
122494484
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
400 KB
Volume
161
Category
Article
ISSN
0166-218X

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Let Ξ΄, Ξ³, i and Ξ± be respectively the minimum degree, the domination number, the independent domination number and the independence number of a graph G. The graph G is 3-Ξ³-critical if Ξ³ = 3 and the addition of any edge decreases Ξ³ by 1. It was conjectured that any connected 3-Ξ³-critical graph satisf