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On the tightness of the \(\frac {5}{14}\) independence ratio

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Publication:932585
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DOI10.1016/j.disc.2007.06.044zbMath1158.05045OpenAlexW2409453840MaRDI QIDQ932585

Christopher Carl Heckman

Publication date: 11 July 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.06.044


zbMATH Keywords

stable setindependent settriangle-freeindependent ratio


Mathematics Subject Classification ID

Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)


Related Items (5)

On line graphs of subcubic triangle-free graphs ⋮ Triangle packings and transversals of some \(K_{4}\)-free graphs ⋮ Independence, odd girth, and average degree ⋮ Minimum \(k\)-path vertex cover ⋮ The independence number in graphs of maximum degree three



Cites Work

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  • 11/30 (Finding large independent sets in connected triangle-free 3- regular graphs)
  • Bipartite density and the independence ratio
  • Some Ramsey-Type Numbers and the Independence Ratio
  • Size and independence in triangle‐free graphs with maximum degree three
  • A new proof of the independence ratio of triangle-free cubic graphs


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