Cographic Splitting Of Graphic Matroids With Respect To A Set With Three Elements
Combinatorics
2023-10-06 v1
Abstract
In general, the splitting operation on binary matroids does not preserve the graphicness and cographicness properties of binary matroids. In this paper, we obtain a characterization of the class of graphic matroids whose splitting with respect to a set of three elements gives cographic matroids. We also provide an alternate proof to such characterization when the set contains two elements which was provided by Borse et al.
Cite
@article{arxiv.2203.01527,
title = {Cographic Splitting Of Graphic Matroids With Respect To A Set With Three Elements},
author = {S. D. Solanki and Ganesh Mundhe and S. B. Dhotre},
journal= {arXiv preprint arXiv:2203.01527},
year = {2023}
}
Comments
18 pages, 19 figures