Some results on generalised Whitney functions

Advances in Applied Mathematics

Volumn 32, Issue 1-2, 2004, Pages 239-262

  Farr, Graham ^a  

^a MONASH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346401557     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0196-8858(03)00082-4     Document Type: Article

References (18)

1. J. Ashkin, E. Teller, Statistics of two-dimensional lattices with four components, Phys. Rev. 64 (1943) 178-184.
2. R.J. Baxter, Exactly Solved Models in Statistical Mechanics, Academic Press, London, 1982.
3. T.H. Brylawski, J.G. Oxley, The Tutte polynomial and its applications, in: N. White (Ed.), Matroid Applications, in: Encyclopedia Math. Appl., Vol. 40, Cambridge Univ. Press, 1992, pp. 123-225.
4. H. Crapo, The Tutte polynomial, Aequationes Math. 3 (1969) 211-229.
5. G.E. Farr, A generalization of the Whitney rank generating function, Math. Proc. Cambridge Philos. Soc. 113 (1993) 267-280.
6. C. Greene, Weight enumeration and the geometry of linear codes, Stud. Appl. Math. 55 (1976) 119-128.
7. F. Jaeger, D.L. Vertigan, D.J.A. Welsh, On the computational complexity of the Jones and Tutte polynomials, Math. Proc. Cambridge Philos. Soc. 108 (1990) 35-53.
8. J.P.S. Kung, The Rédei function of a relation, J. Combin. Theory Ser. A 29 (1980) 287-296.
9. J.P.S. Kung, M.R. Murty, G.-C. Rota, On the Rédei zeta function, J. Number Theory 12 (1980) 421-436.
10. J.P.S. Kung, Critical problems, in: J.E. Bonin, J.G. Oxley, B. Servatius (Eds.), Matroid Theory, Seattle, 1995, in: Contemp. Math., Vol. 197, Amer. Math. Society, Providence, RI, 1993, pp. 1-127.
11. F.J. MacWilliams, N.J.A. Sloane, The Theory of Error-Correcting Codes, North-Holland, Amsterdam, 1977.
12. J.G. Oxley, D.J.A. Welsh, The Tutte polynomial and percolation, in: J.A. Bondy, U.S.R. Murty (Eds.), Graph Theory and Related Topics, Academic Press, New York, 1979, pp. 329-339.
13. J.G. Oxley, G.P. Whittle, Tutte invariants for 2-polymatroids, in: N. Robertson, RD. Seymour (Eds.), Graph Structure Theory, Seattle, 1991, in: Contemp. Math., Vol. 147, Amer. Math. Society, Providence, RI, 1993, pp. 9-19.
14. J.G. Oxley, G.P. Whittle, A characterization of Tutte invariants of 2-polymatroids, J. Combin. Theory Ser. B 59 (1993) 210-244.
15. R.B. Potts, Some generalized order-disorder transformations, Proc. Cambridge Philos. Soc. 48 (1952) 106-109.
16. C.G. Rutherford, Matroids, codes and their polynomial links, PhD thesis, Queen Mary, University of London, 2002.
17. D.J.A. Welsh, Matroid Theory, in: London Math. Soc. Monograph, Vol. 8, Academic Press, London, 1976.
18. D.J.A. Welsh, Complexity: Knots, Colourings and Counting, in: London Math. Soc. Lecture Note Ser., Vol. 186, Cambridge Univ. Press, 1993.