TY - JOUR
T1 - A new transfer-matrix algorithm for exact enumerations
T2 - self-avoiding polygons on the square lattice
AU - Clisby, Nathan
AU - Jensen, Iwan
PY - 2012/2/28
Y1 - 2012/2/28
N2 - We present a new and more efficient implementation of transfer-matrix methods for exact enumerations of lattice objects. The new method is illustrated by an application to the enumeration of self-avoiding polygons on the square lattice. A detailed comparison with the previous best algorithm shows significant improvement in the running time of the algorithm. The new algorithm is used to extend the enumeration of polygons to length 130 from the previous record of 110.
AB - We present a new and more efficient implementation of transfer-matrix methods for exact enumerations of lattice objects. The new method is illustrated by an application to the enumeration of self-avoiding polygons on the square lattice. A detailed comparison with the previous best algorithm shows significant improvement in the running time of the algorithm. The new algorithm is used to extend the enumeration of polygons to length 130 from the previous record of 110.
UR - http://www.scopus.com/inward/record.url?scp=84857988662&partnerID=8YFLogxK
UR - http://purl.org/au-research/grants/ARC/DP0770705
U2 - 10.1088/1751-8113/45/11/115202
DO - 10.1088/1751-8113/45/11/115202
M3 - Article
AN - SCOPUS:84857988662
VL - 45
JO - Journal of Physics. A. Mathematical and Theoretical
JF - Journal of Physics. A. Mathematical and Theoretical
SN - 1751-8113
IS - 11
M1 - 115202
ER -