Prohibited Minors For Graphic Matroids That Gives A Binary Gammoid After Splitting
Combinatorics
2023-10-06 v1
Abstract
Splitting operation in Matroid Theory does not preserve graphicness, connectedness, cographicness, etc. Also, the splitting of binary gammoid does not necessarily be binary gammoid after splitting. We have characterized a class of graphic matroids that gives binary gammoids after splitting. We have obtained prohibited minors for graphic and cographic matroid which gives binary gammoid after splitting using two and three elements.
Cite
@article{arxiv.2310.03490,
title = {Prohibited Minors For Graphic Matroids That Gives A Binary Gammoid After Splitting},
author = {S. D. Solanki and S. B. Dhotre},
journal= {arXiv preprint arXiv:2310.03490},
year = {2023}
}
Comments
10 pages, 8 Figures