Lattice animals: Supplementation of perimeter polynomial data by graph-theoretic methods
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Abstract
Application of graph-theoretic methods to new perimeter polynomials for connected clusters on a lattice yields extra data on the total number of clusters and for the coefficients in the series expansion for the mean size of clusters at low densities. The lattices studied are the square, the square with next nearest neighbors, the triangular, and the simple cubic.
Key words
Cluster enumeration perimeter polynomialsPreview
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References
- 1.S. Mertens,J. Stat. Phys. 58:1095 (1990).Google Scholar
- 2.M. F. Sykes and J. W. Essam,J. Math. Phys. 5:1117 (1964).Google Scholar
- 3.J. W. Essam and M. F. Sykes,J. Math. Phys. 7:1573 (1964).Google Scholar
- 4.M. F. Sykes and M. Glen,J. Phys. A 9:87 (1976).Google Scholar
- 5.M. F. Sykes and M. K. Wilkinson,J. Phys. A 19:3415 (1986).Google Scholar
- 6.D. H. Redelmeier,Discr. Math. 36:191 (1981).Google Scholar
- 7.M. F. Sykes,J. Phys. A 19:1007 (1986).Google Scholar
- 8.M. F. Sykes,J. Phys. A 19:1027 (1986).Google Scholar
- 9.M. F. Sykes,J. Phys. A 19:2425 (1986).Google Scholar
- 10.M. F. Sykes,J. Phys. A 19:2431 (1986).Google Scholar
- 11.J. L. Martin,J. Stat. Phys. 58:749 (1990).Google Scholar
- 12.N. Madraset al., J. Phys. A 23:5327 (1990).Google Scholar
- 13.M. F. Sykes, D. S. Gaunt, and M. Glen,J. Phys. A 9:715 (1976).Google Scholar
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© Plenum Publishing Corporation 1991