Publication details

Computing representations of matroids of bounded branch-width

Authors

KRÁĽ Daniel

Year of publication 2007
Type Article in Periodical
Magazine / Source Stacs 2007, Proceedings
Citation
Description For every k >= I and two finite fields F and F', we design a polynomial-time algorithm that given a matroid M of branch-width at most k represented over F decides whether M is representable over F' and if so, it computes a representation of M over F'. The algorithm also counts the number of non-isomorphic representations of M over F'. Moreover, it can be modified to list all such non-isomorphic representations.

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