5 papers
On graphic splitting of regular matroids
Ganesh Mundhe, K. V. Dalvi
Raghunathan at al. [9] introduced splitting operation with respect to a pair of element for binary matroid and characterized Eulerian binary matroids using it. In general, the spli…
On conditional connectivity of the Cartesian product of cycles
J. B. Saraf, Y. M. Borse, Ganesh Mundhe
The conditional -vertex(-edge) connectivity of a connected graph of minimum degree is the size of a smallest vertex(edge) set of such that is a d…
On graphic elementary lifts of graphic matroids
Ganesh Mundhe, Y. M. Borse, K. V. Dalvi
Zaslavsky introduced the concept of lifted-graphic matroid. For binary matroids, a binary elementary lift can be defined in terms of the splitting operation. In this paper, we give…
On -Connected -Extensions of Binary Matroids
Y. M. Borse, Ganesh Mundhe
Slater introduced the point-addition operation on graphs to classify 4-connected graphs. The -extension operation on binary matroids is a generalization of the point-addition op…
Connectivity of single-element coextensions of a binary matroid
Ganesh Mundhe, Y. M. Borse
Given an -connected binary matroid, we obtain a necessary and sufficient condition for its single-element coextensions to be -connected.