SUBGRAPH GENERATING-FUNCTIONS IN CHEMISTRY - AN EXAMPLE FOR PERFECT MATCHINGS ON HONEYCOMB FRAGMENTS

abstract

• The analogous role of subgraph generating functions in statistical mechanics and in quantum-chemical theory is noted. To illustrate the analogy, the example of perfect matchings on hexagonal animals is considered. Isomorphisms to two types of multiple-walk problems are noted to reveal a "hidden order", with physical relevance. This is further used to accomplished an enumeration of the perfect matchings on a class of hexagonal-animal strips of with and length. 1993.

authors

• Klein, Douglas

published proceedings

• MATHEMATICAL AND COMPUTER MODELLING

author list (cited authors)

• KLEIN, D. J., & ZIVKOVIC, T. P.

citation count

• 4

complete list of authors

• KLEIN, DJ||ZIVKOVIC, TP

publication date

• June 1993

publisher

• Elsevier  Publisher

published in

• Mathematical and Computer Modelling  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1016/0895-7177(93)90262-W

start page

• 113

end page

• 123

volume

• 17

issue

• 11

URL

• http://dx.doi.org/10.1016/0895-7177(93)90262-w