From χ- to χ_p-bounded classes

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10476568" target="_blank" >RIV/00216208:11320/23:10476568 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=shmtzq0fGl" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=shmtzq0fGl</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jctb.2021.05.006" target="_blank" >10.1016/j.jctb.2021.05.006</a>

Result language

angličtina

Original language name

From χ- to χ_p-bounded classes

Original language description

chi-bounded classes are studied here in the context of star colorings and, more generally, chi(p)-colorings. This fits to a general scheme of sparsity and leads to natural extensions of the notion of bounded expansion class. In this paper we solve two conjectures related to star coloring (i.e. chi(2)) boundedness. One of the conjectures is disproved and in fact we determine which weakening holds true. chi(p)-boundedness leads to more stability and we give structural characterizations of (strong and weak) chi(p)-bounded classes. We also generalize a result of Wood relating the chromatic number of a graph to the star chromatic number of its 1-subdivision. As an application of our characterizations, among other things, we show that for every odd integer g &gt; 3 even hole-free graphs G contain at most phi(g, omega(G)) |G| holes of length g. (c) 2021 Elsevier Inc. All rights reserved.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Combinatorial Theory. Series B

ISSN

0095-8956

e-ISSN

1096-0902

Volume of the periodical

158

Issue of the periodical within the volume

Part 1

Country of publishing house

US - UNITED STATES

Number of pages

24

Pages from-to

186-209

UT code for WoS article

000901805500008

EID of the result in the Scopus database

2-s2.0-85108556243