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Localization of the Caro-Wei bound and its applications to bipartiteness

Abiad, Aida et al.
arXiv (OAI Expanded) · Papers
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combinatorics
We confirm a conjecture of Brause, Randerath, Rautenbach and Schiermeyer (2016) by proving a localized lower bound on the independence number of a graph that strengthens the classical bounds of Fajtlowicz (1978) and of Caro (1979) and Wei (1981), which in turn settles a conjecture by Bertram and Hor
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