The Closure Operator of es-Splitting Matroids
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2016
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| _version_ | 1866912477271293952 |
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| author | Dhotre, S. B. Malavadkar, P. P. Shikare, M. M. |
| author_facet | Dhotre, S. B. Malavadkar, P. P. Shikare, M. M. |
| contents | The es-splitting operation for binary matroids is a natural generalization of Slater's n-line splitting operation on graphs. In this paper, we characterize the closure operator of the es-splitting binary matroid $M^e_X$ in terms of the closure operator of the original binary matroid $M$. We also characterize the flats of the es-splitting binary matroid $M^e_X$ in terms of the flats of the original binary matroid $M$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1604_01199 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | The Closure Operator of es-Splitting Matroids Dhotre, S. B. Malavadkar, P. P. Shikare, M. M. Combinatorics The es-splitting operation for binary matroids is a natural generalization of Slater's n-line splitting operation on graphs. In this paper, we characterize the closure operator of the es-splitting binary matroid $M^e_X$ in terms of the closure operator of the original binary matroid $M$. We also characterize the flats of the es-splitting binary matroid $M^e_X$ in terms of the flats of the original binary matroid $M$. |
| title | The Closure Operator of es-Splitting Matroids |
| topic | Combinatorics |
| url | https://arxiv.org/abs/1604.01199 |