English

Bicircular signed-graphic matroids

Combinatorics 2014-04-18 v1

Abstract

Several matroids can be defined on the edge set of a graph. Although historically the cycle matroid has been the most studied, in recent times, the bicircular matroid has cropped up in several places. A theorem of Matthews from late 1970s gives a characterization of graphs whose bicircular matroids are graphic. We give a characterization of graphs whose bicircular matroids are signed-graphic.

Keywords

Cite

@article{arxiv.1306.6409,
  title  = {Bicircular signed-graphic matroids},
  author = {Vaidy Sivaraman},
  journal= {arXiv preprint arXiv:1306.6409},
  year   = {2014}
}

Comments

8 pages

R2 v1 2026-06-22T00:41:09.808Z