On the circuits of splitting matroids representable over GF(p)
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866909685353807872 |
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| author | Malavadkar, Prashant Jagadale, Uday Gunjal, Sachin |
| author_facet | Malavadkar, Prashant Jagadale, Uday Gunjal, Sachin |
| contents | We extend the splitting operation from binary matroids (Raghunathan et al., 1998) to $p$- matroids, where $p$-matroids refer to matroids representable over $GF(p).$ We also characterize circuits, bases, and independent sets of the resulting matroid. Sufficient conditions to yield Eulerian $p$-matroids from Eulerian and non-Eulerian $p$-matroids by applying the splitting operation are obtained. A class of connected $p$-matroids that gives connected $p$-matroids under the splitting operation is characterized. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_00437 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the circuits of splitting matroids representable over GF(p) Malavadkar, Prashant Jagadale, Uday Gunjal, Sachin Combinatorics We extend the splitting operation from binary matroids (Raghunathan et al., 1998) to $p$- matroids, where $p$-matroids refer to matroids representable over $GF(p).$ We also characterize circuits, bases, and independent sets of the resulting matroid. Sufficient conditions to yield Eulerian $p$-matroids from Eulerian and non-Eulerian $p$-matroids by applying the splitting operation are obtained. A class of connected $p$-matroids that gives connected $p$-matroids under the splitting operation is characterized. |
| title | On the circuits of splitting matroids representable over GF(p) |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2112.00437 |