Solving Partial Dominating Set and Related Problems Using Twin-Width

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F25%3A00141840" target="_blank" >RIV/00216224:14330/25:00141840 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Solving Partial Dominating Set and Related Problems Using Twin-Width

Original language description

Partial vertex cover and partial dominating set are two well-investigated optimization problems. While they are $rm W[1]$-hard on general graphs, they have been shown to be fixed-parameter tractable on many sparse graph classes, including nowhere-dense classes. In this paper, we demonstrate that these problems are also fixed-parameter tractable with respect to the twin-width of a graph. Indeed, we establish a more general result: every graph property that can be expressed by a logical formula of the form phiequivexists x_1cdots exists x_k sum_{iin I} #y,psi_i(x_1,ldots,x_k,y)ge t$, where $psi_i$ is a quantifier-free formula for each $i in I$, $t$ is an arbitrary number, and $#y$ is a counting quantifier, can be evaluated in time $f(d,k)n$, where $n$ is the number of vertices and $d$ is the width of a contraction sequence that is part of the input. In addition to the aforementioned problems, this includes also connected partial dominating set and independent partial dominating set.

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

Publication year

2025

Confidentiality

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

Article name in the collection

50th International Symposium on Mathematical Foundations of Computer Science (MFCS 2025)

ISBN

9783959773881

ISSN

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e-ISSN

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Number of pages

19

Pages from-to

„13:1“-„13:19“

Publisher name

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

Place of publication

Dagstuhl

Event location

Varšava

Event date

Aug 25, 2025

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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