메뉴 건너뛰기




Volumn 333, Issue 1-4, 2004, Pages 183-196

Jones polynomials and their zeros for a family of links

Author keywords

Chain graph; Chain polynomial; Jones polynomial; Kauffman bracket; Potts model; Writhe; Zeros distribution

Indexed keywords

GRAPH THEORY; IMAGE ANALYSIS; MATHEMATICAL MODELS; MIRRORS; PHASE TRANSITIONS; SET THEORY; STATISTICAL MECHANICS;

EID: 0347759872     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2003.10.085     Document Type: Article
Times cited : (10)

References (20)
  • 1
    • 84968518084 scopus 로고
    • A polynomial invariant for knots via Von Neumann algebras
    • Jones V.F.R. A polynomial invariant for knots via Von Neumann algebras. Bull. Am. Math. Soc. 12:1985;103.
    • (1985) Bull. Am. Math. Soc. , vol.12 , pp. 103
    • Jones, V.F.R.1
  • 2
    • 0001665177 scopus 로고
    • Hecke algebra representations of Braid groups and link polynomials
    • Jones V.F.R. Hecke algebra representations of Braid groups and link polynomials. Ann. Math. 126:1987;335.
    • (1987) Ann. Math. , vol.126 , pp. 335
    • Jones, V.F.R.1
  • 3
    • 0000282829 scopus 로고
    • State models and the Jones polynomial
    • Kauffman L.H. State models and the Jones polynomial. Topology. 26:1987;395.
    • (1987) Topology , vol.26 , pp. 395
    • Kauffman, L.H.1
  • 4
    • 0001618159 scopus 로고
    • A spanning tree expansion of the Jones polynomial
    • Thistlethwaite M.B. A spanning tree expansion of the Jones polynomial. Topology. 26:1987;297.
    • (1987) Topology , vol.26 , pp. 297
    • Thistlethwaite, M.B.1
  • 5
    • 0542399962 scopus 로고
    • Jones polynomial and classical conjectures in knot theory
    • Murasugi K. Jones polynomial and classical conjectures in knot theory. Topology. 26:1987;187.
    • (1987) Topology , vol.26 , pp. 187
    • Murasugi, K.1
  • 6
    • 0003286958 scopus 로고
    • Knot theory and statistical mechanics
    • Jones V.F.R. Knot theory and statistical mechanics. Sci. Am. November. 263:1990;98.
    • (1990) Sci. Am. November , vol.263 , pp. 98
    • Jones, V.F.R.1
  • 7
    • 11944251865 scopus 로고
    • Knot theory and statistical mechanics
    • Wu F.Y. Knot theory and statistical mechanics. Rev. Mod. Phys. 64:1992;1099.
    • (1992) Rev. Mod. Phys. , vol.64 , pp. 1099
    • Wu, F.Y.1
  • 8
    • 0001152457 scopus 로고
    • New invariants in the theory of knots
    • Kauffman L.H. New invariants in the theory of knots. Am. Math. Mon. 95:1988;195.
    • (1988) Am. Math. Mon. , vol.95 , pp. 195
    • Kauffman, L.H.1
  • 9
    • 36149023450 scopus 로고
    • Statistical theory of equations of states and phase transitions theory of condensation
    • Yang C.N., Lee T.D. Statistical theory of equations of states and phase transitions theory of condensation. Phys. Rev. 87:1952;404.
    • (1952) Phys. Rev. , vol.87 , pp. 404
    • Yang, C.N.1    Lee, T.D.2
  • 10
    • 0000704106 scopus 로고
    • Statistical theory of equations of states and phase transitions lattice gas and Ising model
    • Lee T.D., Yang C.N. Statistical theory of equations of states and phase transitions lattice gas and Ising model. Phys. Rev. 87:1952;410.
    • (1952) Phys. Rev. , vol.87 , pp. 410
    • Lee, T.D.1    Yang, C.N.2
  • 11
    • 0035879435 scopus 로고    scopus 로고
    • Zeros of the Jones polynomial
    • Wu F.Y., Wang J. Zeros of the Jones polynomial. Physica A. 296:2001;483.
    • (2001) Physica A , vol.296 , pp. 483
    • Wu, F.Y.1    Wang, J.2
  • 12
    • 0035575821 scopus 로고    scopus 로고
    • Zeros of Jones polynomials for families of knots and links
    • Chang S.-C., Shrock R. Zeros of Jones polynomials for families of knots and links. Physica A. 301:2001;196.
    • (2001) Physica A , vol.301 , pp. 196
    • Chang, S.-C.1    Shrock, R.2
  • 13
    • 0141843666 scopus 로고    scopus 로고
    • Zeros of the Jones polynomials for families of Pretzel links
    • Jin X.A., Zhang F.J. Zeros of the Jones polynomials for families of Pretzel links. Physica A. 328:2003;391.
    • (2003) Physica A , vol.328 , pp. 391
    • Jin, X.A.1    Zhang, F.J.2
  • 14
    • 0012100457 scopus 로고    scopus 로고
    • Chromatic polynomials of homeomorphism classes of graphs
    • Read R.C., Whitehead E.G. Jr. Chromatic polynomials of homeomorphism classes of graphs. Discrete Math. 204:1999;337.
    • (1999) Discrete Math. , vol.204 , pp. 337
    • Read, R.C.1    Whitehead, E.G.Jr.2
  • 15
    • 84867977418 scopus 로고    scopus 로고
    • Chain polynomials of graphs
    • Read R.C. Chain polynomials of graphs. Discrete Math. 265:2003;213.
    • (2003) Discrete Math. , vol.265 , pp. 213
    • Read, R.C.1
  • 17
    • 0002092950 scopus 로고
    • A contribution to the theory of chromatic polynomials
    • Tutte W.T. A contribution to the theory of chromatic polynomials. Can. J. Math. 6:1954;80.
    • (1954) Can. J. Math. , vol.6 , pp. 80
    • Tutte, W.T.1
  • 18
    • 0003702909 scopus 로고
    • Reading, MA: Addison-Wesley
    • Tutte W.T. Graph Theory. 1984;Addison-Wesley, Reading, MA.
    • (1984) Graph Theory
    • Tutte, W.T.1
  • 20
    • 0000450087 scopus 로고    scopus 로고
    • The Jones polynomial of Pretzel knots and links
    • Landvoy R.A. The Jones polynomial of Pretzel knots and links. Top. Appl. 83:1998;135.
    • (1998) Top. Appl. , vol.83 , pp. 135
    • Landvoy, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.