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Generalized Splitting and element splitting operations on -matroids
Sachin Gunjal, Uday Jagadale, Prashant Malavadkar
In this paper, we define generalized splitting and element splitting operations on -matroids. -matroids are the matroids representable over The circuits and the base…
On the characterization of Eulerian -splitting -matroids
Uday Jagadale, Prashant Malavadkar, Sachin Gunjal +1
The -splitting operation on binary bridge-less matroids never produces an Eulerian matroid. But for matroids representable over called -matroids, the -spl…
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…
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…