Publication details
Finding branch-decomposition and rank-decomposition
| Authors | |
|---|---|
| Year of publication | 2008 |
| Type | Article in Periodical |
| Magazine / Source | SIAM Journal on Computing |
| MU Faculty or unit | |
| Citation | |
| Web | doi |
| Field | Informatics |
| Keywords | graph; matroid; rank-width; clique-width; branch-width; fixed parameter tractable algorithm |
| 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 at most $k$ 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. |
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