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Polynomial Gyárfás-Sumner conjecture for graphs of bounded boxicity

2024/07/23 by Davies, James, Yuditsky, Yelena · 1 citation
#Combinatorics (math.CO) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.16882

Abstract

We prove that for every positive integer d and forest F, the class of intersection graphs of axis-aligned boxes in ℝd with no induced F subgraph is (polynomially) χ-bounded.

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