2 papers
math.CO2026
Regular structures of an intractable enumeration problem: a diagonal recurrence relation of monomer-polymer coverings on two-dimensional rectangular lattices
Yong Kong
In the monomer-polymer model, a linear rigid polymer covers adjacent lattice sites, with no lattice site occupied by more than one polymer. The polymers are called -mers, an…
cond-mat.stat-mech2024
Recurrence solution of monomer-polymer models on two-dimensional rectangular lattices
Yong Kong
The problem of counting polymer coverings on the rectangular lattices is investigated. In this model, a linear rigid polymer covers adjacent lattice sites such that no two poly…