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The numbers of dependent \(k\)-sets in a graph are log concave

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Publication:1850583
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DOI10.1006/jctb.2001.2077zbMath1027.05074OpenAlexW2043779144MaRDI QIDQ1850583

David G. C. Horrocks

Publication date: 10 December 2002

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jctb.2001.2077



Mathematics Subject Classification ID

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


Related Items (2)

On the unimodality of domination polynomials ⋮ The repulsive lattice gas, the independent-set polynomial, and the Lovász local lemma



Cites Work

  • On a conjecture on the Sperner property
  • On Lih's conjecture concerning Spernerity
  • On the numbers of independent \(k\)-sets in a claw free graph
  • Logarithmic concavity and \({\mathfrak {sl}}_2({\mathbf C})\)
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