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Kernels in digraphs that are not kernel perfect

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2012 English Publisher:Elsevier BVJournal:Discrete Mathematics, volume 312, pages 2,498-2,505 (issn: 0012-365X, Copyright policy )
Authors: Michal Walicki; Sjur K. Dyrkolbotn;

doi: 10.1016/j.disc.2012.05.004

Kernels in digraphs that are not kernel perfect

Abstract

AbstractAn equivalent of kernel existence is formulated using semikernels. It facilitates inductive arguments, which allow us to establish several sufficient conditions for the existence of kernels in finite digraphs. The conditions identify classes of digraphs that have kernels without necessarily being kernel perfect.

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Keywords

Digraph kernel, Undirected path parity, Not kernel perfect, 05C20, Discrete Mathematics and Combinatorics, Breaking odd cycles, Parity condition, Theoretical Computer Science

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
hybrid
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