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Vizing's conjecture: A two-thirds bound for claw-free graphs

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Publication:2399303
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DOI10.1016/j.dam.2017.06.017zbMath1368.05113arXiv1607.06936OpenAlexW2963100325WikidataQ123017722 ScholiaQ123017722MaRDI QIDQ2399303

Elliot Krop

Publication date: 22 August 2017

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

Full work available at URL: https://arxiv.org/abs/1607.06936


zbMATH Keywords

Vizing's conjecturedomination numberCartesian product of graphs


Mathematics Subject Classification ID

Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Graph operations (line graphs, products, etc.) (05C76)


Related Items (1)

A \(\frac{3}{4}\)-approximation of Vizing's conjecture for claw-free graphs




Cites Work

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  • An improved inequality related to Vizing's conjecture
  • On domination and independent domination numbers of a graph
  • Vizing's conjecture for graphs with domination number 3 -- a new proof
  • A result on Vizing's conjecture
  • Vizing's conjecture: a survey and recent results
  • A Class of Graphs Approaching Vizing's Conjecture




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