1 citations · 3 across the 13 of their papers we have counts for
13 papers · 1 filter
Diagonals in Riordan matrices and applications
Gi-Sang Cheon, Ana Luzón, Manuel A. Morón +1
We introduce a method for describing Riordan matrices via recurrence relations along their diagonals. This provides a new structural description that complements the classical row-…
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…
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…
Matrix periods and competition periods of Boolean Toeplitz matrices II
Gi-Sang Cheon, Bumtle Kang, Suh-Ryung Kim +1
This paper is a follow-up to the paper [Matrix periods and competition periods of Boolean Toeplitz matrices, {\it Linear Algebra Appl.} 672:228--250, (2023)]. Given subsets and…
Operad Structure of Poset Matrices
Arnauld Mesinga Mwafise, Gi-Sang Cheon, Hong Joon Choi +1
This paper examines operad structures derived from poset matrices by formulating a set of new construction rules for poset matrices. In this direction, eleven different partial com…
On naturally labelled posets and permutations avoiding 12-34
David Bevan, Gi-Sang Cheon, Sergey Kitaev
A partial order on is naturally labelled (NL) if implies . We establish a bijection between {3, 2+2}-free NL posets and 12-34-avoiding permutations, d…