Abstract
A recursive method for enumerating clusters on a hypercubic lattice in d spatial dimensions is presented from which the weak embedding constants are determined as polynomials in d. A tabulation for all clusters having no free ends is available for ≤15, where is the number of bonds. As illustrated here and elsewhere, this tabulation can be used to generate many series expansions. A novel method of checking the enumeration with an algebraic calculation is presented.
- Received 24 February 1987
DOI:https://doi.org/10.1103/PhysRevA.36.1840
©1987 American Physical Society