Search Results - subject:"Tutte polynomial"

Potts model partition functions on two families of fractal lattices

Gong, Helin; Jin, Xian’an - In: Physica A: Statistical Mechanics and its Applications 414 (2014) C, pp. 143-153

The partition function of q-state Potts model, or equivalently the Tutte polynomial, is computationally intractable for …

Persistent link: https://www.econbiz.de/10010931577

The Tutte polynomial of an infinite family of outerplanar, small-world and self-similar graphs

Liao, Yunhua; Fang, Aixiang; Hou, Yaoping - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 19, pp. 4584-4593

In this paper we recursively describe the Tutte polynomial of an infinite family of outerplanar, small-world and self … recurrent configurations. Further, we give some exact analytical expression for the Tutte polynomial at several special points …

Persistent link: https://www.econbiz.de/10010682565

Zeros of the Jones polynomials for families of pretzel links

Jin, Xian'an; Zhang, Fuji - In: Physica A: Statistical Mechanics and its Applications 328 (2003) 3, pp. 391-408

In this paper, a general method for computing the Tutte polynomial of the subdivision of a graph is explained. As an …

Persistent link: https://www.econbiz.de/10010589747

General structural results for Potts model partition functions on lattice strips

Chang, Shu-Chiuan; Shrock, Robert - In: Physica A: Statistical Mechanics and its Applications 316 (2002) 1, pp. 335-379

We present a set of general results on structural features of the q-state Potts model partition function Z(G,q,v) for arbitrary q and temperature Boltzmann variable v for various lattice strips of arbitrarily great width Ly vertices and length Lx vertices, including (i) cyclic and Möbius strips...

Persistent link: https://www.econbiz.de/10011062500