Width Parameters Beyond Tree-width and Their Applications

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F07%3A00020090" target="_blank" >RIV/00216224:14330/07:00020090 - 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
Width Parameters Beyond Tree-width and Their Applications
Original language description
Besides the very successful concept of tree-width (see [H.~Bodlaender, A.~Koster: {Combinatorial optimisation on graphs of bounded treewidth}]), many concepts and parameters measuring the similarity or dissimilarity of structures compared to trees have been born and studied over the past years. These concepts and parameters have proved to be useful tools in many applications, especially in the design of efficient algorithms. Our presented novel look at the contemporary developments of these ``width'' parameters in combinatorial structures delivers --- besides traditional tree-width and derived dynamic programming schemes --- also a number of other useful parameters like branch-width, rank-width (clique-width), or hypertree-width. In this contribution we demonstrate how ``width'' parameters of graphs and generalized structures (like matroids or hypergraphs), can be used to improve the design of parameterized algorithms and the structural analysis in other applications on an abstract lev
Czech name
Šířkové parametry po tree-width a jejich aplikace
Czech description
Mnoho různých konceptů měření podobnosti struktur ke stromům bylo studováno od objevení tree-width. V tomto souhrnném článku ukazujeme nový moderní pohled na tyto koncepty a jak je lze využít v navrhování lepších parametrizovaných algoritmů.

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
IN - Informatics
OECD FORD branch
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Project
<a href="/en/project/GA201%2F05%2F0050" target="_blank" >GA201/05/0050: Structural properties and algorithmic complexity of discrete problems</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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