Bounds for the connective constant of the hexagonal lattice

Journal of Physics A: Mathematical and General

Volumn 37, Issue 3, 2004, Pages 549-560

  Alm, S E ^a   Parviainen, R ^a  

^a UPPSALA UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0742305893     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/3/001     Document Type: Article

References (12)

1. Ahlberg R and Janson S 1981 Upper bounds for the connectivity constant Department of Mathematics Uppsala University Preprint
2. Alm S E 1993 Upper bounds for the connective constant of self-avoiding walks Comb. Probab. Comput. 2115-36
3. Alm S E 2004 In preparation
4. Alm S E and Janson S 1990 Random self-avoiding walks on one-dimensional lattices Commun. Stat. Stochastic Models 6 169-212
5. Fisher M E and Sykes M F 1959 Excluded-volume problem and the Ising model of ferromagnetism Phys. Rev. 114 45-58
6. Hammersley J M 1957 Percolation processes H. The connective constant Proc. Camb. Phil. Soc. 53 642-5
7. Jensen I and Guttmann A J 1998 Self-avoiding walks, neighbour-avoiding walks and trails on semiregular lattices J. Phys. A: Math. Gen. 31 8137-45
8. Kesten H 1963 On the number of self-avoiding walks J. Math. Phys. 4 960-9
9. Nienhuis B 1982 Exact critical point and critical exponent of O(n) models in two dimensions Phys. Rev. Lett. 49 1062-5
10. Parviainen R and Wierman J C 2002 The subgraph partial ordering of Archimedean and Laves lattices UUDM Report 2002:12 Department of Mathematics Uppsala University
11. Sykes M F, Guttmann A J, Watts M G and Roberts P D 1972 The asymptotic behaviour of self-avoiding walks and returns on a lattice J. Phys. A: Math. Gen. 5 653-60
12. Wierman J C and Parviainen R 2002 Ordering bond percolation critical probabilities UUDM Report 2002:44 Department of Mathematics Uppsala University