Forbidden Minor Characterization of 3-Fold-3-Splitting of Binary Gammoid
Combinatorics
2024-10-02 v1
Abstract
The r-fold-n-point-splitting operation is an important operation in Graph Theory defined by Slater [15]. Later, Ghafari [6] extended 3-fold-n-point-splitting operation in binary matroids and obtained the result for Eulerian matroids whose 3-fold is Eulerian. In this paper, we give another approach to extend 3-fold-3-point-splitting in binary matroids in terms of splitting and haracterize binary gammoid whose 3-fold-3-point spitting is binary gammoid.
Cite
@article{arxiv.2410.00562,
title = {Forbidden Minor Characterization of 3-Fold-3-Splitting of Binary Gammoid},
author = {Shital Dilip Solanki and S. B. Dhotre},
journal= {arXiv preprint arXiv:2410.00562},
year = {2024}
}