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Recognition algorithms for binary signed-graphic matroids

Combinatorics 2012-05-08 v2

Abstract

In this paper we provide two recognition algorithms for the class of signed-graphic matroids along with necessary and sufficient conditions for a matroid to be signed-graphic. Specifically, we provide a polynomial-time algorithm which determines whether a given binary matroid is signed-graphic and an algorithm which determines whether a general matroid given by an independece oracle is binary signed-graphic.

Keywords

Cite

@article{arxiv.1011.6504,
  title  = {Recognition algorithms for binary signed-graphic matroids},
  author = {Leonidas Pitsoulis and Konstantinos Papalamprou},
  journal= {arXiv preprint arXiv:1011.6504},
  year   = {2012}
}

Comments

This paper has been withdrawn by the authors due to a newly submitted version

R2 v1 2026-06-21T16:50:56.766Z