1 citations · 1 across the 8 of their papers we have counts for
8 papers
Forbidden Minor Characterization of 3-Fold-3-Splitting of Binary Gammoid
Shital Dilip Solanki, S. B. Dhotre
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 ma…
Prohibited Minors For Graphic Matroids That Gives A Binary Gammoid After Splitting
S. D. Solanki, S. B. Dhotre
Splitting operation in Matroid Theory does not preserve graphicness, connectedness, cographicness, etc. Also, the splitting of binary gammoid does not necessarily be binary gammoid…
Graphic Elementary Lift of Cographic Matroids
Shital D. Solanki, Ganesh Mundhe, S. B. Dhotre
A matroid is a lift of a binary matroid , if when for some binary matroid and and is called an elementary lift of , if $|…
Elementary Lift and Single Element Coextension of A Binary Gammoid
S. D. Solanki, Ganesh Mundhe, S. B. Dhotre
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 l…
Cographic Splitting Of Graphic Matroids With Respect To A Set With Three Elements
S. D. Solanki, Ganesh Mundhe, S. B. Dhotre
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 characterizatio…
A note on connectivity of splitting matroids
S. B. Dhotre, P. P. Malavadkar
Fleischner introduced the idea of splitting a vertex of degree at least three in a connected graph and used the operation to characterize Eulerian graphs. Raghunathan et. al. exten…
A Forbidden-Minor Characterization for the Class of graphic Matroids which yield the Co-graphic Element-Splitting Matroids
S. B. Dhotre, P. P. Malavadkar
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 matr…
The Closure Operator of es-Splitting Matroids
S. B. Dhotre, P. P. Malavadkar, M. M. Shikare
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…