Yueming Zhong

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math.CO2022

Proving some conjectures on Kekulé numbers for certain benzenoids by using Chebyshev polynomials

Guoce Xin, Yueming Zhong

In chemistry, Cyvin-Gutman enumerates Kekulé numbers for certain benzenoids and record it as $A 050446$ on OEIS. This number is exactly the two variable array $T (n, m)$ defined by th…

math.CO2021

A symmetric chain decomposition of $N (m, n)$ of composition

Yueming Zhong

A poset is called a symmetric chain decomposition if the poset can be expressed as a disjoint union of symmetric chains. For positive integers $m$ and $n$ , let $N (m, n)$ denote the…

math.CO2021

On Magic Distinct Labellings of Simple Graphs

Guoce Xin, Xinyu Xu, Chen Zhang +1

A magic labelling of a graph $G$ with magic sum $s$ is a labelling of the edges of $G$ by nonnegative integers such that for each vertex $v \in V$ , the sum of labels of all edges in…

math.CO2019

On Parity Unimodality of $q$ -Catalan Polynomials

Guoce Xin, Yueming Zhong

A polynomial $A (q) = \sum_{i = 0}^{n} a_{i} q^{i}$ is said to be unimodal if $a_{0} \leq a_{1} \leq \dots \leq a_{k} \geq a_{k + 1} \geq \dots \geq a_{n}$ . We investigate the unimodality of rational $q$ -Catal…

Proving some conjectures on Kekulé numbers for certain benzenoids by using Chebyshev polynomials

A symmetric chain decomposition of N(m,n) of composition

On Magic Distinct Labellings of Simple Graphs

On Parity Unimodality of q-Catalan Polynomials

A symmetric chain decomposition of $N (m, n)$ of composition

On Parity Unimodality of $q$ -Catalan Polynomials