S. D. Solanki

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20222024

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math.CO2023

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…

math.CO2023

Graphic Elementary Lift of Cographic Matroids

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

A matroid $N$ is a lift of a binary matroid $M$ , if $N = Q \ X$ when $Q / X = M$ for some binary matroid $Q$ and $X \subseteq E (Q)$ and is called an elementary lift of $M$ , if $|…