Counterexamples to a Conjecture of Harris on Hall Ratio
Typ dokumentu
článek v časopisejournal article
Peer-reviewed
acceptedVersion
Autor
Blumenthal A.
Lidický B.
Martin R.R.
Norin S.
Pfender F.
Volec J.
Práva
openAccessMetadata
Zobrazit celý záznamAbstrakt
In this work, we refute a conjecture of Harris by constructing various graphs whose fractional chromatic number grows much faster than their Hall ratio. The Hall ratio of a graph G is the maximum value of the ratio between the number of vertices and the independence number taken over all non-null subgraphs of G. For any graph, the Hall ratio is a lower-bound on its fractional chromatic number.
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Kolekce
- Publikační činnost ČVUT [1342]