Counting lattice animals: A parallel attack | Zendy

Stephan Mertens | Zendy; Markus E. Lautenbacher | Zendy

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Counting lattice animals: A parallel attack

Author(s) -

Stephan Mertens,

Markus E. Lautenbacher

Publication year - 1992

Publication title -

journal of statistical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.71

H-Index - 115

eISSN - 1572-9613

pISSN - 0022-4715

DOI - 10.1007/bf01060088

Subject(s) - perimeter , lattice (music) , combinatorics , mathematics , enumeration , discrete mathematics , geometry , physics , acoustics

A parallel algorithm for the enumeration of isolated connected clusters on a regular lattice is presented. The algorithm has been implemented on 17 RISC-based workstations to calculate the perimeter polynomials for the plane triangular lattice up to clustersizes=21. New data for perimeter polynomials Ds up toD21, total number of clustersgs up tog22, and coefficientsbr in the low-density series expansion of the mean cluster size up tob21 are given.

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