English

Inductive tools for connected ribbon graphs, delta-matroids and multimatroids

Combinatorics 2017-03-09 v2

Abstract

We prove a splitter theorem for tight multimatroids, generalizing the corresponding result for matroids, obtained independently by Brylawski and Seymour. Further corollaries give splitter theorems for delta-matroids and ribbon graphs.

Keywords

Cite

@article{arxiv.1702.07179,
  title  = {Inductive tools for connected ribbon graphs, delta-matroids and multimatroids},
  author = {Carolyn Chun and Deborah Chun and Steven D. Noble},
  journal= {arXiv preprint arXiv:1702.07179},
  year   = {2017}
}

Comments

17 Pages. New version takes into account referees' comments with improved exposition here and there, and some reordering of material in the main section

R2 v1 2026-06-22T18:26:20.818Z