HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Theses

Complétions d'intervalles minimales

Abstract : Pathwidth and treewidth have been introduced by Robertson and Seymour in their work on graph minors. Informally, pathwidth (resp. treewidth) measures the "distance" between a given graph and the class of paths (resp. trees). Given an arbitrary graph G=(V,E), an interval graph H=(V,F) containing G is called an interval completion of G. Computing pathwidth comes to computing an interval completion of minimum cliquesize of the input graph. Unfortunately the pathwidth problem is NP-hard. We focus on minimal interval completions of G, that is interval completions H such that no proper subgraph of H is an interval completion of G. We give several algorithms for computing minimal interval completions of an input graph, an also an algorithm computing a minimal proper interval completion. Eventually, we show that pathwidth can be polinomially computed for circular-arc graphs.
Document type :
Theses
Complete list of metadata

Cited literature [111 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00480669
Contributor : Ioan Todinca Connect in order to contact the contributor
Submitted on : Tuesday, May 4, 2010 - 7:39:15 PM
Last modification on : Tuesday, October 12, 2021 - 5:20:29 PM
Long-term archiving on: : Thursday, September 16, 2010 - 12:46:16 PM

Identifiers

  • HAL Id : tel-00480669, version 1

Citation

Karol Suchan. Complétions d'intervalles minimales. Computer Science [cs]. Université d'Orléans, 2006. English. ⟨tel-00480669⟩

Share

Metrics

Record views

135

Files downloads

116