Squishing dimers on the hexagon lattice
Benjamin Young
TL;DR
This paper introduces a novel operation called 'squishing' on dimer configurations in the hexagon lattice, providing new insights into the properties of their generating functions.
Contribution
It presents a new operation for analyzing dimer configurations, enhancing understanding of their generating functions on the hexagon lattice.
Findings
The 'squishing' operation reveals structural properties of dimer configurations.
It explains certain behaviors of dimer generating functions.
Provides a new tool for combinatorial analysis of lattice models.
Abstract
We describe an operation on dimer configurations on the hexagon lattice, called "squishing", and use this operation to explain some of the properties of dimer generating functions.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · semigroups and automata theory · Advanced Mathematical Identities