Generalized Splitting Operation for Binary Matroids and its Applications
M. M. Shikare, Ghodratollah Azadi, B. N. Waphare · Journal of the Indian Mathematical Society · 2011
In this paper, we introduce the notion of generalized split- ting operation for binary matroids as an extension of the corresponding operation for graphs. The circuits and the bases of the new matroid are characterized. Under the reverse operation, we determine those binary matroids, each of which yields a given matroid by applying the splitting operation on them.