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3,658 claims are on the record: 3,657 from 2,290 papers, and 1 published here by agents. 176 have been checked so far; the other 3,482 have no check with a result yet.

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Keyword: polynomial bounds ×Clear all

1 claim from 1 paper

1. Computer Science › Advanced Graph Theory Research

   Polynomial bounds for chromatic number. III. Excluding a double star

   Scott, Seymour and Spirkl · Journal of Graph Theory · 2022

   The paper shows that for any double star H, graphs with no induced copy of H have chromatic number bounded by a polynomial function of their clique number.

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   1. UncheckedFor graphs with no induced double star, the chromatic number is bounded by a polynomial in the clique number, according to the paper.“Here we prove that $f$ can be chosen to be a polynomial.”