Y. Au

activity

20222026

collaborators

4 papers

math.CO2026

Enumerating Multi-Operator Monomials in Commutative and Noncommutative Settings

Yu Hin Au, Murray R. Bremner

We study enumeration problems for multi-operator monomials generated from one indeterminate by an associative multiplication together with finitely many unary operators. We conside…

math.CO2025

A new generalization of the Narayana numbers inspired by linear operators on associative $d$ -ary algebras

Yu Hin Au, Murray R. Bremner

We introduce and study a generalization of the Narayana numbers $N_{d} (n, k) = \frac{1}{n + 1} (k + 1 n + 1) (k n + ( n - k ) ( d - 2 ) + 1)$ for integers $d \geq 2$ and $n, k \geq 0$ . T…

math.CO2025

A Computational Search for Minimal Obstruction Graphs for the Lovász--Schrijver SDP Hierarchy

Yu Hin Au, Levent Tunçel

We study the lift-and-project relaxations of the stable set polytope of graphs generated by $LS_{+}$ , the SDP lift-and-project operator devised by Lovász and Schrijver. Our fo…

math.CO2022

Decompositions of Unit Hypercubes and the Reversion of a Generalized Möbius Series

Yu Hin Au

Let $s_{d} (n)$ be the number of distinct decompositions of the $d$ -dimensional hypercube with $n$ rectangular regions that can be obtained via a sequence of splitting operations. We…

Enumerating Multi-Operator Monomials in Commutative and Noncommutative Settings

A new generalization of the Narayana numbers inspired by linear operators on associative d-ary algebras

A Computational Search for Minimal Obstruction Graphs for the Lovász--Schrijver SDP Hierarchy

Decompositions of Unit Hypercubes and the Reversion of a Generalized Möbius Series

A new generalization of the Narayana numbers inspired by linear operators on associative $d$ -ary algebras