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April 15, 2026Proceedings of the American Mathematical Society

Davies’s theorem and the coloring number of graphs

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Authors

PKPéter Komjáth

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Overview

This research shows a property of graphs related to Davies's theorem, suggesting implications for coloring numbers.

Key Points

  • This study aims to generalize Davies's theorem to explore its implications for the coloring number of graphs.
  • Generalization of Davies's example to the property of graphs.
  • Mathematical formulation involving functions and collections of variables.
  • Verification of properties regarding the coloring number of sets.
  • Verified that if the coloring number of X is less than or equal to omega 1, certain conditions hold.
  • Revealed a functional relationship between graph vertices and their properties through summation.

Cite This Study

Péter Komjáth (2026) studied this question.

synapsesocial.com/papers/69df2ba0e4eeef8a2a6b0a2fhttps://doi.org/10.1090/proc/16540
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