Finding branch-decomposition and rank-decomposition

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F08%3A00024875" target="_blank" >RIV/00216224:14330/08:00024875 - 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
Finding branch-decomposition and rank-decomposition
Original language description
We present a new algorithm that can output the rank-decomposition of width at most $k$ of a graph if such exists. For that we use an algorithm that, for an input matroid represented over a fixed finite field, outputs its branch-decomposition of width atmost $k$ if such exists. This algorithm works also for partitioned matroids. Both these algorithms are fixed-parameter tractable, that is, they run in time $O(n^3)$ for each fixed value of $k$ where $n$ is the number of vertices / elements of the input.
Czech name
Výpočet branch- a rank-dekompozic
Czech description
Přinášíme nový algoritmus, který počítá optimální rank-dekompozici grafu, optimální branch-dekompozici matroidu nad konečným tělesem, v FPT čase n^3.

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%2F08%2F0308" target="_blank" >GA201/08/0308: Utilization of structural and "Width" parameters in combinatorics and algorithmic complexity</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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