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Remarks on a conjecture of Barát and Tóth

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Publication:405159
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zbMath1300.05105MaRDI QIDQ405159

R. Bruce Richter, Atílio G. Luiz

Publication date: 4 September 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i1p57


zbMATH Keywords

colour-critical graphsAlbertson conjectureHajós conjecture


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Coloring of graphs and hypergraphs (05C15)




Cites Work

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  • Reduction of symmetric semidefinite programs using the regular \(\ast\)-representation
  • Towards the Albertson conjecture
  • Crossings, colorings, and cliques
  • Hajos' graph-coloring conjecture: Variations and counterexamples
  • \(3n-5\) edges do force a subdivision of \(K_5\)
  • On the conjecture of Hajos
  • Map Colour Theorems Related To the Heawood Colour Formula
  • Cyclic‐order graphs and Zarankiewicz's crossing‐number conjecture
  • Small graphs with chromatic number 5: A computer search
  • Relations Between Crossing Numbers of Complete and Complete Bipartite Graphs
  • A Property of 4-Chromatic Graphs and some Remarks on Critical Graphs
  • Map-Colour Theorems


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