On the rooted Tutte polynomial
| dc.creator | Wu, F. Y. | |
| dc.creator | King, C. | |
| dc.creator | Lu, W. T. | |
| dc.date | 1998-12-11 | |
| dc.date.accessioned | 2026-07-07T03:12:22Z | |
| dc.date.available | 2026-07-07T03:12:22Z | |
| dc.description | The Tutte polynomial is a generalization of the chromatic polynomial of graph colorings. Here we present an extension called the rooted Tutte polynomial, which is defined on a graph where one or more vertices are colored with prescribed colors. We establish a number of results pertaining to the rooted Tutte polynomial, including a duality relation in the case that all roots reside around a single face of a planar graph. The connection with the Potts model is also reviewed. | |
| dc.description | plain latex, 14 pages, 2 figs., to appear in Annales de l'Institut Fourier (1999) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9812202 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9812202 | |
| dc.identifier | Ann. Inst. Fourier (Grenoble) 49, 1103-1114 (1999). | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28881 | |
| dc.subject | Statistical Mechanics | |
| dc.title | On the rooted Tutte polynomial | |
| dc.type | text |