The Closure Operator of es-Splitting Matroids
Combinatorics
2025-07-15 v2
Abstract
The es-splitting operation for binary matroids is a natural generalization of Slater's n-line splitting operation on graphs. In this paper, we characterize the closure operator of the es-splitting binary matroid in terms of the closure operator of the original binary matroid . We also characterize the flats of the es-splitting binary matroid in terms of the flats of the original binary matroid .
Cite
@article{arxiv.1604.01199,
title = {The Closure Operator of es-Splitting Matroids},
author = {S. B. Dhotre and P. P. Malavadkar and M. M. Shikare},
journal= {arXiv preprint arXiv:1604.01199},
year = {2025}
}