Combinatorial problems on H-graphs

Kód výsledku v IS VaVaI

RIV/00216208:11320/17:10368821 - isvavai.cz

Výsledek na webu

http://dx.doi.org/10.1016/j.endm.2017.06.042

DOI - Digital Object Identifier

10.1016/j.endm.2017.06.042

Jazyk výsledku

angličtina

Název v původním jazyce

Combinatorial problems on H-graphs

Popis výsledku v původním jazyce

Biró, Hujter, and Tuza introduced the concept of H-graphs (1992), intersection graphs of connected subgraphs of a subdivision of a fixed graph H. They naturally generalize many important classes of graphs. We continue their study by considering coloring, clique, and isomorphism problems. We show that if H contains a certain multigraph as a minor, then H-graphs are GI-complete and the clique problem is APX-hard. Also, when H is a cactus the clique problem can be solved in polynomial time and when a graph G has a Helly H-representation, the clique problem can be solved in polynomial time. We use treewidth to show that both the k-clique and list k-coloring problems are FPT on H-graphs. These results also apply to treewidth-bounded classes where treewidth is bounded by a function of the clique number.

Název v anglickém jazyce

Combinatorial problems on H-graphs

Popis výsledku anglicky

Biró, Hujter, and Tuza introduced the concept of H-graphs (1992), intersection graphs of connected subgraphs of a subdivision of a fixed graph H. They naturally generalize many important classes of graphs. We continue their study by considering coloring, clique, and isomorphism problems. We show that if H contains a certain multigraph as a minor, then H-graphs are GI-complete and the clique problem is APX-hard. Also, when H is a cactus the clique problem can be solved in polynomial time and when a graph G has a Helly H-representation, the clique problem can be solved in polynomial time. We use treewidth to show that both the k-clique and list k-coloring problems are FPT on H-graphs. These results also apply to treewidth-bounded classes where treewidth is bounded by a function of the clique number.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

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

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Electronic Notes in Discrete Mathematics

ISSN

1571-0653

e-ISSN

—

Svazek periodika

61

Číslo periodika v rámci svazku

August

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

7

Strana od-do

223-229

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85026769520