Grassmann-Berezin Calculus and Theorems of the Matrix-Tree Type
| dc.creator | Abdesselam, Abdelmalek | |
| dc.date | 2003-06-27 | |
| dc.date | 2003-07-08 | |
| dc.date.accessioned | 2026-07-07T04:59:14Z | |
| dc.date.available | 2026-07-07T04:59:14Z | |
| dc.description | We prove two generalizations of the matrix-tree theorem. The first one, a result essentially due to Moon for which we provide a new proof, extends the ``all minors'' matrix-tree theorem to the ``massive'' case where no condition on row or column sums is imposed. The second generalization, which is new, extends the recently discovered Pfaffian-tree theorem of Masbaum and Vaintrob into a ``Hyperpfaffian-cactus'' theorem. Our methods are noninductive, explicit and make critical use of Grassmann-Berezin calculus that was developed for the needs of modern theoretical physics. | |
| dc.description | 23 pages, 2 figures, 3 references added | |
| dc.identifier | https://arxiv.org/abs/math/0306396 | |
| dc.identifier | http://arxiv.org/abs/math/0306396 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67904 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Topology | |
| dc.subject | 05C50; 57M15 | |
| dc.title | Grassmann-Berezin Calculus and Theorems of the Matrix-Tree Type | |
| dc.type | text |