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math.CO2026
A matrix approach to the structure, enumeration, and applications of partially ordered sets
Gi-Sang Cheon, Hong Joon Choi, Gukwon Kwon +2
We present a matrix-theoretic approach for studying and enumerating finite posets through their incidence representations, referred to as poset matrices. Naturally labelled posets…
math.CO2025
Generating naturally labeled posets through matrix extensions, order ideals and automorphism groups
Gi-Sang Cheon, Samuele Giraudo, Gukwon Kwon +1
We propose a matrix approach for generating naturally labeled posets by representing each poset on the set as a Boolean poset matrix . This algebraic representation en…