RAS PresidiumДоклады Российской академии наук. Математика, информатика, процессы управления Doklady Mathematics

  • ISSN (Print) 2686-9543
  • ISSN (Online) 3034-5049

ON A СOMBINATORIAL APPLICATION OF ULTRAFILTER THEORY: A NEW CONSTRUCTION OF TRIANGLE-FREE GRAPHS WITH ARBITRARILY LARGE CHROMATIC NUMBER

PII
S3034504925020073-1
DOI
10.7868/S3034504925020073
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 522 / Issue number 1
Pages
40-49
Abstract
The paper describes a new method for constructing triangle-free graphs with an arbitrarily large chromatic number. The method is substantiated using properties of various types of ultrafilter extensions of functions and predicates.
Keywords
граф граф без треугольников хроматическое число ультрафильтр ультрарасширение
Date of publication
01.04.2025
Year of publication
2025
Number of purchasers
0
Views
58

References

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