A Forbidden-Minor Characterization for the Class of graphic Matroids which yield the Co-graphic Element-Splitting Matroids
Combinatorics
2018-10-09 v2
Abstract
The element splitting operation on a graphic matroid, in general may not yield a cographic matroid. In this paper, we give a necessary and sufficient condition for the graphic matroid to yield cographic matroid under the element splitting operation.
Keywords
Cite
@article{arxiv.1708.07960,
title = {A Forbidden-Minor Characterization for the Class of graphic Matroids which yield the Co-graphic Element-Splitting Matroids},
author = {S. B. Dhotre and P. P. Malavadkar},
journal= {arXiv preprint arXiv:1708.07960},
year = {2018}
}