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math.CO2022
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…
math.CO2022
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…