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ON CHROMATIC NUMBERS OF 3-DIMENSIONAL SLICES

  • D. D. Cherkashin
  • , A. J. Kanel-Belov
  • , G. A. Strukov
  • , V. A. Voronov
  • Bulgarian Academy of Sciences
  • Moscow Institute of Physics and Technology
  • RAS - Saint Petersburg Department of Steklov Institute of Mathematics
  • Adyghe State University

Research output: Contribution to journal › Article › peer-review

Abstract

It is proved that the inequality (Formula presented.) holds true for an arbitrary ε>0, where χ(M) is the chromatic number of an (infinite) graph with vertex set M, and in which two vertices are adjacent if they are at the distance 1. Bibliography: 15 titles.

Original languageEnglish
Pages (from-to)396-409
Number of pages14
JournalJournal of Mathematical Sciences (United States)
Volume297
Issue number4
DOIs
StatePublished - Mar 2026
Externally publishedYes

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2026.

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