EXPRESSIONS FOR THE PERFECT MATCHING NUMBERS OF CUBIC L X M X N LATTICES AND THEIR ASYMPTOTIC VALUES

Authors
NARUMI H KITA H HOSOYA H
Citation
H. Narumi et al., EXPRESSIONS FOR THE PERFECT MATCHING NUMBERS OF CUBIC L X M X N LATTICES AND THEIR ASYMPTOTIC VALUES, Journal of mathematical chemistry, 20(1-2), 1996, pp. 67-77
Citations number
16
Categorie Soggetti
Chemistry,Mathematics
Journal title
Journal of mathematical chemistry → ACNP
ISSN journal
02599791
Volume
20
Issue
1-2
Year of publication
1996
Pages
67 - 77
Database
ISI
SICI code
0259-9791(1996)20:1-2<67:EFTPMN>2.0.ZU;2-V
Abstract
A general expression of the perfect matching number for the l x m x n cubic lattice was conjectured and examined for infinitely large system s. The asymptotic value of the square of the perfect matching number w as calculated by numerical integration. The present treatment will giv e a key to obtain the true analytic solution of the perfect matching n umbers for the 3-dimensional lattices.