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On Graphic Splitting of Regular Matroids by Mundhe, Ganesh; Dalvi, K. V. is a scholarly article available to read on EtoBox.

What is On Graphic Splitting of Regular Matroids about?

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 splitting operation does not preserve the graphicness property of the given matroids. Shikare and Waphare [10] obtained the characterization for the class of graphic matroids which yield graphic matroids under the splitting operation with respect to a pair of elements. We study the effect of the splitting operation on regular matroids and characterize the class of regular matroids which yield graphic matroids under the splitting operation. We also provide an alternate and short proof to two of the known results.

Author

Mundhe, Ganesh; Dalvi, K. V.

Published

2020

Language

EN