Algebraic and geometric aspects of bipartite planar graphs
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2012
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| _version_ | 1866916182987112448 |
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| author | Imbesi, Maurizio La Barbiera, Monica |
| author_facet | Imbesi, Maurizio La Barbiera, Monica |
| contents | Let B_{2t} be a bipartite planar graph with an even number of regions. We are able to find bounds for the graded Betti numbers and the projective dimension of the quotient ring associated to the graph. We also will investigate the minimal vertex covers and the maximum matchings related to such a graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1211_6555 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Algebraic and geometric aspects of bipartite planar graphs Imbesi, Maurizio La Barbiera, Monica Commutative Algebra Primary: 05C99, Secondary: 13D02, 13F20 Let B_{2t} be a bipartite planar graph with an even number of regions. We are able to find bounds for the graded Betti numbers and the projective dimension of the quotient ring associated to the graph. We also will investigate the minimal vertex covers and the maximum matchings related to such a graph. |
| title | Algebraic and geometric aspects of bipartite planar graphs |
| topic | Commutative Algebra Primary: 05C99, Secondary: 13D02, 13F20 |
| url | https://arxiv.org/abs/1211.6555 |