TL;DR
This paper investigates convex domino towers by applying dissection techniques to polyominoes, deriving their generating functions and providing asymptotic approximations to understand their combinatorial properties.
Contribution
It introduces a novel application of dissection methods to convex domino towers, deriving explicit generating functions and asymptotic formulas.
Findings
Derived explicit generating functions for convex domino towers
Provided asymptotic approximations for their enumeration
Enhanced understanding of their combinatorial structure
Abstract
We study convex domino towers using a classic dissection technique on polyominoes to find the generating function and an asymptotic approximation.
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Taxonomy
TopicsMathematics and Applications · Advanced Mathematical Theories and Applications