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- W200319441 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." @default.
- W200319441 created "2016-06-24" @default.
- W200319441 creator A5037314967 @default.
- W200319441 date "2006-12-12" @default.
- W200319441 modified "2023-09-23" @default.
- W200319441 title "Complétions d'intervalles minimales" @default.
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- W200319441 hasPublicationYear "2006" @default.
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