A generalization of Gale's lemma

Meysam Alishahi, Hossein Hajiabolhassan*

*Corresponding author for this work

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In this work, we present a generalization of Gale's lemma. Using this generalization, we introduce two sharp combinatorial lower bounds for coind (B0(G)) + 1 andcoind(B(G)) + 2, the two classic topological lower boundsfor the chromatic number of a graph G.
Original languageEnglish
JournalJournal of Graph Theory
Issue number2
Pages (from-to)337-346
Publication statusPublished - 2017


  • Box complex
  • Chromatic number of graphs
  • Gale's lemma

Cite this

Alishahi, M., & Hajiabolhassan, H. (2017). A generalization of Gale's lemma. Journal of Graph Theory, 88(2), 337-346. https://doi.org/10.1002/jgt.22215