Bulk, surface and corner free-energy series for the chromatic polynomial on the square and triangular lattices

Journal of Physics A: Mathematical and Theoretical

Volumn 43, Issue 31, 2010, Pages

  Jacobsen, Jesper Lykke ^a,b  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80052751834     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/31/315002     Document Type: Article

References (28)

1. Birkhoff G D 1912 Ann. Math. 14 42
2. Whitney H 1932 Bull. Am. Math. Soc. 38 572
3. Salas J and Sokal A D 2001 J. Stat. Phys. 104 609 (arXiv:cond-mat/0004330)
4. Appel K and Haken W 1976 Bull. Am. Math. Soc. 82 711
5. Birkhoff G D and Lewis D C 1946 Trans. Am. Math. Soc. 60 355
6. Baxter R J 1987 J. Phys. A: Math. Gen. 20 5241
7. Jacobsen J L and Salas J 2001 J. Stat. Phys. 104 701 (arXiv:cond-mat/0011456)
8. Jacobsen J.L., Salas J and Sokal A D 2003 J. Stat. Phys. 112 921 (arXiv:cond-mat/0204587)
9. Jacobsen J L and Salas J 2006 J. Stat. Phys. 122 705 (arXiv:cond-mat/0407444)
10. Jacobsen J L and Salas J 2007 Nucl. Phys. B 783 238 (arXiv:cond-mat/0703228)
11. Salas J and Sokal A D 2009 J. Stat. Phys. 135 279 (arXiv:0711.1738)
12. Salas J and Sokal A D 2010 arXiv:1002.3761
13. Saleur H 1990 Commun. Math. Phys. 132 657
14. Saleur H 1991 Nucl. Phys. B 360 219
15. Royle G F 2008 Ann. Comb. 12 195 (arXiv:math/0511304)
16. Blöte H W J and Nightingale M P 1982 Physica A 112 405
17. de Neef T and Enting I G 1977 J. Phys. A: Math. Gen. 10 801
18. Bakaev A V and Kabanovich V I 1994 J. Phys. A: Math. Gen. 27 6731
19. Baxter R J 1986 J. Phys. A: Math. Gen. 19 2821
20. Fortuin C M and Kasteleyn P W 1972 Physica 57 536
21. Enting I G 1978 J. Phys. A: Math. Gen. 11 563
22. Baxter R J 1970 J. Math. Phys. 11 784
23. Moore C and Newman M E J 2000 J. Stat. Phys. 99 629 (arXiv:cond-mat/9902295)
24. Kondev J and Henley C L 1994 Phys. Rev. Lett. 73 2786
25. Enting I G 1987 J. Phys. A: Math. Gen. 20 1485
26. Baxter R J 1982 Proc. R. Soc. Lond. A 383 43
27. Pasquier V and Saleur H 1990 Nucl. Phys. B 330 523
28. Fendley P and Krushkal V 2009 Geom. Topology 13 709 (arXiv:0711.0016)