181 citations · 1.9k across the 66 of their papers we have counts for
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A transfer matrix approach to the enumeration of plane meanders
Iwan Jensen
A closed plane meander of order is a closed self-avoiding curve intersecting an infinite line times. Meanders are considered distinct up to any smooth deformation leaving…
Statistics of lattice animals (polyominoes) and polygons
Iwan Jensen, Anthony J Guttmann
We have developed an improved algorithm that allows us to enumerate the number of site animals (polyominoes) on the square lattice up to size 46. Analysis of the resulting series y…
Enumerations of lattice animals and trees
Iwan Jensen
We have developed an improved algorithm that allows us to enumerate the number of site animals on the square lattice up to size 46. We also calculate the number of lattice trees up…
Critical exponents of plane meanders
Iwan Jensen, Anthony J Guttmann
Meanders form a set of combinatorial problems concerned with the enumeration of self-avoiding loops crossing a line through a given number of points, . Meanders are considered d…
Size and area of square lattice polygons
Iwan Jensen
We use the finite lattice method to calculate the radius of gyration, the first and second area-weighted moments of self-avoiding polygons on the square lattice. The series have be…
Punctured polygons and polyominoes on the square lattice
Anthony J Guttmann, Iwan Jensen, Ling Heng Wong +1
We use the finite lattice method to count the number of punctured staircase and self-avoiding polygons with up to three holes on the square lattice. New or radically extended serie…