SCOPUS 정보 검색 플랫폼

Physica A: Statistical Mechanics and its Applications

Volumn 296, Issue 1-2, 2001, Pages 131-182

Structural properties of Potts model partition functions and chromatic polynomials for lattice strips

(2) Chang, Shu Chiuan a Shrock, Robert a,b,c

a STONY BROOK UNIVERSITY (United States)

b BROOKHAVEN NATIONAL LABORATORY (United States)

c STATE UNIVERSITY OF NEW YORK (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; MATHEMATICAL MODELS; POLYNOMIALS;

LATTICE STRIPS; POTTS MODEL PARTITION FUNCTIONS;

STATISTICAL MECHANICS;

EID: 0035399843 PISSN: 03784371 EISSN: None Source Type: Journal
DOI: 10.1016/S0378-4371(01)00150-9 Document Type: Article

Times cited : (46)

References (90)

1
- 84926736518
- (1952) Proc. Cambridge Philos. Soc. , vol.48 , pp. 106
- Potts, R.B.¹

2
- 0042492825
- (1982) Rev. Mod. Phys. , vol.54 , pp. 235
- Wu, F.Y.¹

3
- 0002741878
- (1912) Ann. Math. , vol.14 , pp. 42
- Birkhoff, G.D.¹

4
- 0000217456
- (1932) Ann. Math. , vol.33 , pp. 688
- Whitney, H.¹

5
- 0002862954
- (1969) J. Phys. Soc. Jpn. , vol.26 , Issue.SUPPL. , pp. 11
- Kasteleyn, P.W.¹ Fortuin, C.M.²

6
- 0041855748
- (1972) Physica , vol.57 , pp. 536
- Fortuin, C.M.¹ Kasteleyn, P.W.²

7
- 0002092950
- (1954) Can. J. Math. , vol.6 , pp. 80
- Tutte, W.T.¹

8
- 0000537710
- (1967) J. Combin. Theory , vol.2 , pp. 301
- Tutte, W.T.¹

9
- 0000626232
- Chromials
- Springer, Berlin
- (1974) Lecture Notes in Mathematics , vol.411 , pp. 243
- Tutte, W.T.¹

10
- 0004105733
- Addison-Wesley, Menlo Park
- (1984) Graph Theory, Encyclopedia of Mathematics and Applications , vol.21
- Tutte, W.T.¹

11
- 0004242420
- Cambridge Univ. Press, Cambridge
- (1993) Algebraic Graph Theory, 2nd Edition
- Biggs, N.L.¹

12
- 0002529522
- (1968) J. Combin. Theory , vol.4 , pp. 52
- Read, R.C.¹

13
- 0002461816
- Chromatic polynomials
- L.W. Beineke, R.J. Wilson (Eds.), Academic Press, New York
- (1988) Selected Topics in Graph Theory , vol.3
- Read, R.C.¹ Tutte, W.T.²

14
- 0000931941
- (1997) Phys. Rev. E , vol.55 , pp. 5165
- Shrock, R.¹ Tsai, S.-H.²

15
- 0004808537
- BCC99 July
- (1999) Proceedings of the 1999 British Combinatorial Conference
- Shrock, R.¹

16
- 0033699414
- (2000) Physica A , vol.281 , pp. 221
- Shrock, R.¹

17
- 0034250847
- (2000) Physica A , vol.283 , pp. 388
- Shrock, R.¹

18
- 36049056500
- (1967) Phys. Rev. , vol.162 , pp. 162
- Lieb, E.H.¹

19
- 0001481957
- (1972) J. Combin. Theory B , vol.12 , pp. 123
- Biggs, N.L.¹ Damerell, R.M.² Sands, D.A.³

20
- 0004780169
- Ph.D. Thesis, Univ. of London, unpublished
- (1972)
- Sands, D.A.¹

21
- 0004808372
- (1972) J. Combin. Theory B , vol.13 , pp. 14
- Meredith, G.H.¹

22
- 4243154505
- (1976) J. Combin. Theory B , vol.20 , pp. 5
- Biggs, N.L.¹ Meredith, G.H.²

23
- 0001844357
- (1976) Bull. London Math. Soc. , vol.9 , pp. 54
- Biggs, N.L.¹

24
- 0000647605
- (1997) Phys. Rev. E , vol.55 , pp. 6791
- Shrock, R.¹ Tsai, S.-H.²

25
- 4243808666
- (1997) Phys. Rev. E , vol.56 , pp. 2733
- Shrock, R.¹ Tsai, S.-H.²

26
- 33746898508
- (1979) J. Combin. Theory B , vol.27 , pp. 1
- Beraha, S.¹ Kahane, J.² Weiss, N.³

27
- 0001870053
- (1980) J. Combin. Theory B , vol.28 , pp. 52
- Beraha, S.¹ Kahane, J.² Weiss, N.³

28
- 0004783958
- (1981) Proceedings of the Third Caribbean Conference on Combin. and Computing
- Read, R.C.¹

29
- 0004795023
- (1988) Proceedings of the Fifth Caribbean Conference on Combin. and Computing
- Read, R.C.¹

30
- 36149036355
- (1987) J. Phys. A , vol.20 , pp. 5241
- Baxter, R.J.¹

31
- 0004753047
- MATH/CHEM/COMP
- (1988) Studies in Physical and Theoretical Chemistry , vol.63 , pp. 155
- Klein, D.¹ Seitz, W.²

32
- 0001358201
- Wiley, New York
- (1991) Graph Theory, Combinatorics, and Applications , vol.2 , pp. 1009
- Read, R.C.¹ Royle, G.F.²

33
- 36149039276
- (1976) J. Phys. A , vol.9 , pp. 397
- Baxter, R.J.¹ Kelland, S.B.² Wu, F.Y.³

34
- 0032047241
- (1998) Physica A , vol.252 , pp. 505
- Roček, M.¹ Shrock, R.² Tsai, S.-H.³

35
- 0032183844
- (1998) Physica A , vol.259 , pp. 367
- Roček, M.¹ Shrock, R.² Tsai, S.-H.³

36
- 0000107005
- (1997) Phys. Rev. E , vol.56 , pp. 3935
- Shrock, R.¹ Tsai, S.-H.²

37
- 0000240640
- cond-mat/9808057
- (1998) Phys. Rev. E , vol.58 , pp. 4332
- Shrock, R.¹ Tsai, S.-H.²

38
- 0032483925
- (1998) J. Phys. A , vol.31 , pp. 9641
- Shrock, R.¹ Tsai, S.-H.²

39
- 0033101214
- (1999) Physica A , vol.265 , pp. 186
- Shrock, R.¹ Tsai, S.-H.²

40
- 0004320624
- in press (cond-mat/9904146)
- Combin. Prob. Comput.
- Sokal, A.¹

41
- 0032183370
- (1998) Physica A , vol.259 , pp. 315
- Shrock, R.¹ Tsai, S.-H.²

42
- 0033617045
- (1999) J. Phys. A Lett. , vol.32
- Shrock, R.¹ Tsai, S.-H.²

43
- 0033538388
- (1999) J. Phys. A , vol.32 , pp. 5053
- Shrock, R.¹ Tsai, S.-H.²

44
- 0000793230
- (1999) Phys. Rev. E , vol.60 , pp. 3512
- Shrock, R.¹ Tsai, S.-H.²

45
- 0033901002
- (2000) Physica A , vol.275 , pp. 429
- Shrock, R.¹ Tsai, S.-H.²

46
- 0004817692
- LSE Report LSE-CDAM-99-03, May, to appear
- (1999)
- Biggs, N.L.¹

47
- 0346704344
- (1999) Phys. Lett. A , vol.261 , pp. 57
- Shrock, R.¹

48
- 0033584757
- (1999) J. Phys. A (Lett.) , vol.32
- Biggs, N.L.¹ Shrock, R.²

49
- 0004780171
- in press (cond-mat/0004129)
- Ann. Phys.
- Chang, S.-C.¹ Shrock, R.²

50
- 0034301186
- (2000) Physica A , vol.286 , pp. 189
- Chang, S.-C.¹ Shrock, R.²

51
- 0035252993
- (2001) Physica A , vol.290 , pp. 402
- Chang, S.-C.¹ Shrock, R.²

52
- 0004749412
- cond-mat/0004330
- Salas, J.¹ Sokal, A.²

53
- 0034294182
- (2000) Phys. Rev. E , vol.62 , pp. 4650
- Chang, S.-C.¹ Shrock, R.²

54
- 0000660863
- (1971) Proc. Roy. Soc. A , vol.322 , pp. 251
- Temperley, H.N.V.¹ Lieb, E.H.²

55
- 0003730307
- Academic Press, New York
- (1982) Exactly Solved Models
- Baxter, R.J.¹

56
- 4243695864
- (1987) J. Phys. A , vol.20
- Martin, P.P.¹

57
- 0003954837
- World Scientific, Singapore
- (1991) Potts Models and Related Problems in Statistical Mechanics
- Martin, P.P.¹

58
- 0003498504
- Academic Press, New York, Eq. (8.940.2)
- (1980) Tables of Integrals, Series, and Products
- Gradshtein, I.¹ Ryzhik, I.²

59
- 0004155375
- Wiley, New York
- (1968) Combinatorial Identities
- Riordan, J.¹

60
- 0000427534
- JETP 42 (1975) 743
- (1975) Zh. Eksp. Teor. Fiz. , vol.69 , pp. 1457
- Migdal, A.A.¹

61
- 33744612341
- (1975) Phys. Lett. B , vol.59 , pp. 79
- Polyakov, A.M.¹

62
- 4244094764
- (1976) Phys. Rev. B , vol.14 , pp. 3110
- Brézin, E.¹ Zinn-Justin, J.²

63
- 0001241483
- (1976) Phys. Rev. D , vol.14 , pp. 985
- Bardeen, W.¹ Lee, B.W.² Shrock, R.³

64
- 12244272075
- (1995) Phys. Lett. A , vol.204 , pp. 353
- Matveev, V.¹ Shrock, R.²

65
- 24544478297
- (1967) Phys. Rev. Lett. , vol.18 , pp. 692
- Lieb, E.H.¹

66
- 7244225886
- (1979) J. Phys. A , vol.12 , pp. 1857
- Den Nijs, M.P.M.¹

67
- 36149042462
- (1980) J. Phys. A , vol.13
- Nienhuis, B.¹ Riedel, E.K.² Schick, M.³

68
- 0001454016
- (1980) Phys. Rev. B , vol.22 , pp. 2579
- Pearson, R.B.¹

69
- 0001114129
- (1948) Bull. Amer. Math. Soc. , vol.54 , pp. 352
- Motzkin, T.¹

70
- 0000519564
- (1977) J. Combin. Theory A , vol.23 , pp. 291
- Donaghey, R.¹ Shapiro, L.W.²

71
- 0032328350
- (1998) Europ. J. Combin. , vol.19 , pp. 663
- Aigner, M.¹

72
- 0003652674
- Cambridge University Press, Cambridge
- (1999) Enumerative Combinatorics , vol.2
- Stanley, R.P.¹

73
- 0003124224
- (1999) Discrete Math. , vol.204 , pp. 73
- Bernhart, F.R.¹

74
- 0003633725
- Academic Press, New York
- (1995) The Encyclopedia of Integer Sequences
- Sloane, N.J.A.¹ Plouffe, S.²

75
- 0004817693
- Sloane, N.J.A.¹

76
- 0039308153
- (1982) J. Phys. A , vol.15
- Dhar, D.¹ Phani, M.² Barma, M.³

77
- 0000059811
- (1982) Phys. Rev. Lett. , vol.49 , pp. 959
- Dhar, D.¹

78
- 4243267220
- (1983) Phys. Rev. Lett. , vol.51 , pp. 853
- Dhar, D.¹

79
- 0004755031
- (1981) J. Phys. A , vol.13
- Baxter, R.J.¹

80
- 4243851869
- (1982) J. Phys. A , vol.15
- Stanley, H.E.¹ Redner, S.² Yang, Z.R.³

81
- 0003199471
- (1982) J. Phys. A , vol.15 , pp. 593
- Cardy, J.¹

82
- 21144482806
- (1993) J. Phys. A , vol.26 , pp. 3085
- Conway, A.¹ Brak, R.² Guttmann, A.J.³

83
- 0000184073
- (1996) Phys. Rev. Lett. , vol.76 , pp. 344
- Guttmann, A.J.¹

84
- 0041355564
- (1998) Disc. Math. , vol.180 , pp. 73
- Bousquet-Mélou, M.¹

85
- 0000880501
- (1990) Phys. Rev. Lett. , vol.65 , pp. 3068
- Arrowsmith, D.¹ Essam, J.²

86
- 0002493774
- (1996) Phys. Rev. Lett. , vol.76 , pp. 173
- Wu, F.Y.¹

87
- 0003518588
- London Mathematical Society Lecture Note Series, Cambridge University Press, Cambridge
- (1993) Complexity: Knots, Colourings, and Counting , vol.186
- Welsh, D.J.A.¹

88
- 0000033790
- (1977) J. Phys. A , vol.10
- Wu, F.Y.¹

89
- 0002374912
- (2000) Appl. Math. Lett. , vol.13 , pp. 19
- Tzeng, W.J.¹ Wu, F.Y.²

90
- 0034595456
- (2000) J. Phys. A , vol.33 , pp. 3881
- Shrock, R.¹ Wu, F.Y.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.