Výsledky vyhledávání - "Solanki, A. D."

Report

Prohibited Minors For Graphic Matroids That Gives A Binary Gammoid After Splitting

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 th

Externí odkaz: http://arxiv.org/abs/2310.03490

Zobrazit plný text záznamu

Report

Graphic Elementary Lift of Cographic Matroids

Autor: Solanki, Shital D., Mundhe, Ganesh, Dhotre, S. B.

A matroid $N$ is a lift of a binary matroid $M$, if $N=Q\backslash X$ when $Q/X=M$ for some binary matroid $Q$ and $X \subseteq E(Q)$ and is called an elementary lift of $M$, if $|X|=1$. A splitting operation on a binary matroid can result in an elem

Externí odkaz: http://arxiv.org/abs/2301.01907

Zobrazit plný text záznamu

Report

Elementary Lift and Single Element Coextension of A Binary Gammoid

Autor: Solanki, S. D., Mundhe, Ganesh, Dhotre, S. B.

Elementary lift is a generalized splitting operation. Splitting of a binary gammoid need not be a gammoid. This paper finds forbidden minors for a binary gammoid whose elementary lift is a binary gammoid. We also find forbidden minors for a binary ga

Externí odkaz: http://arxiv.org/abs/2208.04633

Zobrazit plný text záznamu

Report

Cographic Splitting Of Graphic Matroids With Respect To A Set With Three Elements

Autor: Solanki, S. D., Mundhe, Ganesh, Dhotre, S. B.

Publikováno v: Graphs and Combinatorics, 97 (2023)

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 s

Externí odkaz: http://arxiv.org/abs/2203.01527

Zobrazit plný text záznamu

Plný text ve formátu HTML