An effective algorithm for obtaining polynomials for dimer statistics. Application of operator technique on the topological index to two- and three-dimensional rectangular and torus lattices

DOI10.1063/1.526778zbMath0586.76010OpenAlexW2081154718MaRDI QIDQ3711991

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526778

zbMATH Keywords

Recursion formulas Kekulé numbers arbitrary number of indistinguishable dumbbells dimer statistics nonadjacent number operator technique Perfect matching numbers rectangular lattice spaces torus spaces

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Classical equilibrium statistical mechanics (general) (82B05) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Related Items (10)

Generalized expression for the numbers of perfect matching of cylindrical m×n graphs ⋮ On some counting polynomials in chemistry ⋮ Notes on the asymptotic linearity theorems ⋮ Resonance in elemental benzenoids ⋮ Expressions for the perfect matching numbers of cubic \(l\times m\times n\) lattices and their asymptotic values ⋮ Orthogonal polynomials through complex matrix graph theory ⋮ An expression for the perfect matching number of cubic \(2\times m\times n\) lattices and their asymptotic values ⋮ On ``The matching polynomial of a polygraph ⋮ Unnamed Item ⋮ Generalized expression of the perfect matching number for 2×3×n lattices

Cites Work

This page was built for publication: An effective algorithm for obtaining polynomials for dimer statistics. Application of operator technique on the topological index to two- and three-dimensional rectangular and torus lattices