ℋ-Clique-Width and a Hereditary Analogue of Product Structure

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F24%3A00136980" target="_blank" >RIV/00216224:14330/24:00136980 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.4230/LIPIcs.MFCS.2024.61" target="_blank" >http://dx.doi.org/10.4230/LIPIcs.MFCS.2024.61</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4230/LIPIcs.MFCS.2024.61" target="_blank" >10.4230/LIPIcs.MFCS.2024.61</a>

Result language

angličtina

Original language name

ℋ-Clique-Width and a Hereditary Analogue of Product Structure

Original language description

We introduce a novel generalization of the notion of clique-width which aims to bridge the gap between classical hereditary width measures and the recently introduced graph product structure theory. Bounding the new H-clique-width, in the special case of H being the class of paths, is equivalent to admitting a hereditary (i.e., induced) product structure of a path times a graph of bounded clique-width. Furthermore, every graph admitting the usual (non-induced) product structure of a path times a graph of bounded tree-width, has bounded H-clique-width and, as a consequence, it admits the usual product structure in an induced way. We prove further basic properties of H-clique-width in general.

Czech name

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Czech description

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Type

D - Article in proceedings

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

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Continuities

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

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

Article name in the collection

49th International Symposium on Mathematical Foundations of Computer Science (MFCS 2024)

ISBN

9783959773355

ISSN

1868-8969

e-ISSN

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Number of pages

16

Pages from-to

„61:1“-„61:16“

Publisher name

Schloss Dagstuhl -- Leibniz-Zentrum f{"u}r Informatik

Place of publication

Dagstuhl, Germany

Event location

Bratislava, Slovakia

Event date

Jan 1, 2024

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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