| Автор | Hendrik Moraal |
| Дата выпуска | 2000-03-17 |
| dc.description | It is pointed out that a graph contributes to the high-temperature expansion of the M -state Potts model if and only if it has a nowhere-zero M -flow. This graph-theoretical property is shown to be equivalent to the existence of a proper arrowing of the graph, which can be visualized easily by means of arrows put on the edges in such a way that the sum of these arrows is 0 mod M at every vertex. By means of this concept it is rather easy to solve the problem for planar graphs completely, one result being that all planar graphs contribute for M 4. For nonplanar graphs, all of them certainly contribute for M 6, but it is an unproven conjecture that M 5 suffices. The classes of graphs contributing for 2 M 6 are characterized. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | The high-temperature expansion for the Potts model and nowhere-zero flows |
| Тип | paper |
| DOI | 10.1088/0305-4470/33/10/306 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 33 |
| Первая страница | 2031 |
| Последняя страница | 2044 |
| Аффилиация | Hendrik Moraal; Institute for Theoretical Physics, University of Cologne, D-50937 Cologne, Germany |
| Выпуск | 10 |
