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math.CO2021★ 1 cited
On the circuits of splitting matroids representable over GF(p)
Prashant Malavadkar, Uday Jagadale, Sachin Gunjal
We extend the splitting operation from binary matroids (Raghunathan et al., 1998) to - matroids, where -matroids refer to matroids representable over We also charact…
math.CO2020
A note on connectivity preserving splitting operation for matroids representable over
P. P. Malavadkar, Sachin Gunjal, Uday Jagadale
The splitting operation on a -matroid does not necessarily preserve connectivity. It is observed that there exists a single element extension of the splitting matroid which is c…
math.CO2018
A note on connectivity of splitting matroids
S. B. Dhotre, P. P. Malavadkar
Fleischner introduced the idea of splitting a vertex of degree at least three in a connected graph and used the operation to characterize Eulerian graphs. Raghunathan et. al. exten…