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arXiv.org e-Print Archive
Preprint . 2024
Data sources: arXiv.org e-Print Archive
Innovations in Graph Theory
Article . 2026 . Peer-reviewed
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Polynomial Gyárfás–Sumner conjecture for graphs of bounded boxicity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 02 Apr 2026 English Publisher:MathDoc/Centre MersenneJournal:Innovations in Graph Theory, volume 3, pages 37-48 (eissn: 3050-743X, Copyright policy )
Authors: Davies, James; Yuditsky, Yelena;

doi: 10.5802/igt.17

arXiv: 2407.16882

Polynomial Gyárfás–Sumner conjecture for graphs of bounded boxicity

Abstract

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

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Keywords

Mathematics - Combinatorics, Computer Science - Computational Geometry

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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