Amalgam width of matroids
Discrete Mathematics
2013-06-11 v2 Combinatorics
Abstract
We introduce a new matroid width parameter based on the operation of matroid amalgamation, which we call amalgam-width. The parameter is linearly related to branch-width on finitely representable matroids (which is not possible for branch-width). In particular, any property expressible in the monadic second order logic can be decided in linear time for matroids with bounded amalgam-width. We also prove that the Tutte polynomial can be computed in polynomial time for matroids with bounded amalgam width.
Cite
@article{arxiv.1304.0299,
title = {Amalgam width of matroids},
author = {Lukas Mach and Tomas Toufar},
journal= {arXiv preprint arXiv:1304.0299},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:0904.2785 by other authors