RELATIONS BETWEEN PERCOLATION AND COLOURING PROBLEM AND OTHER GRAPH-THEORETICAL PROBLEMS ASSOCIATED WITH REGULAR PLANAR LATTICES - SOME EXACT RESULTS FOR PERCOLATION PROBLEM

被引:749
作者
TEMPERLEY, HN
LIEB, EH
机构
关键词
D O I
10.1098/rspa.1971.0067
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
引用
收藏
页码:251 / +
页数:1
相关论文
共 25 条
[1]   Metal theory [J].
Bethe, H. .
ZEITSCHRIFT FUR PHYSIK, 1931, 71 (3-4) :205-226
[2]   EXACT SOLUTION OF SOME LATTICE STATISTICS MODEELS WITH 4 STATES PER SITE [J].
BETTS, DD .
CANADIAN JOURNAL OF PHYSICS, 1964, 42 (08) :1564-&
[3]   PERCOLATION PROCESSES .I. LOW-DENSITY EXPANSION FOR MEAN NUMBER OF CLUSTERS IN A RANDOM MIXTURE [J].
ESSAM, JW ;
SYKES, MF .
JOURNAL OF MATHEMATICAL PHYSICS, 1966, 7 (09) :1573-&
[4]   GENERAL LATTICE MODEL OF PHASE TRANSITIONS [J].
FAN, C ;
WU, FY .
PHYSICAL REVIEW B, 1970, 2 (03) :723-&
[5]   ISING MODEL WITH SECOND-NEIGHBOR INTERACTION .I. SOME EXACT RESULTS AND AN APPROXIMATE SOLUTION [J].
FAN, C ;
WU, FY .
PHYSICAL REVIEW, 1969, 179 (02) :560-&
[6]  
Hulthen L, 1938, ARK FYS A, V26, P1
[7]   STATISTICS OF DIMERS ON A LATTICE .1. NUMBER OF DIMER ARRANGEMENTS ON A QUADRATIC LATTICE [J].
KASTELEYN, P .
PHYSICA, 1961, 27 (12) :1209-+
[8]  
KASTELEYN PW, 1969, J PHYS SOC JPN, VS 26, P11
[9]   CRYSTAL STATISTICS .2. PARTITION FUNCTION EVALUATED BY SPINOR ANALYSIS [J].
KAUFMAN, B .
PHYSICAL REVIEW, 1949, 76 (08) :1232-1243
[10]   CRYSTAL STATISTICS .3. SHORT-RANGE ORDER IN A BINARY ISING LATTICE [J].
KAUFMAN, B ;
ONSAGER, L .
PHYSICAL REVIEW, 1949, 76 (08) :1244-1252