Tingzeng Wu

activity

20242026

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6 papers · 1 filter

math.CO2025

Hook immanantal equalities for linear combination matrices of (di)graphs and their applications

Xiangshuai Dong, Tingzeng Wu, HongJian Lai

Let $χ_{λ}$ be an irreducible character of the symmetric group $S_{n}$ . For an $n \times n$ matrix $M = (m_{ij})$ , define the immanant of $M$ corresponding to $χ_{λ}$ by \begin{eqnarray*…

math.CO2025

Non-uniform pairwise cross $t$ -intersecting families

Yongjiang Wu, Yongtao Li, Tingzeng Wu +1

Let $n \geq t \geq 1$ and $A_{1}, A_{2}, \dots, A_{m} \subseteq 2^{[n]}$ be non-empty families. We say that they are pairwise cross $t$ -intersecting if $|A…

math.CO2025

On the edge reconstruction of the second immanantal polynomials of undirected graph and digraph

Tingzeng Wu

Let $M = (m_{ij})$ be an $n \times n$ matrix. The second immanant of matrix $M$ is defined by \begin{eqnarray*} d_{2}(M)=\sum_{σ\in S_{n}}χ_{2}(σ)\prod_{s=1}^{n}m_{sσ(s)}, \end{eqnarr…

math.CO2025

Brualdi-Goldwasser-Michael problem for maximum permanents of {\rm(0,1)}-matrices

Tingzeng Wu, Xiangshuai Dong, Huazhong Lü

Let $U (n, τ)$ be the set of all {\rm(0,1)}-matrices of order $n$ with exactly $τ$ 0's. Brualdi et al. investigated the maximum permanents of all matrices in $\mathscr{U}(n…

math.CO2025

On the edge reconstruction of the second immanantal polynomials of undirected graph and digraph

Tingzeng Wu, Yafan Geng, Hong-Jian Lai

Let $M = (m_{ij})$ be an $n \times n$ matrix. The second immanant of matrix $M$ is defined by \begin{eqnarray*} d_{2}(M)=\sum_{σ\in S_{n}}χ_{2}(σ)\prod_{s=1}^{n}m_{sσ(s)}, \end{eqnarr…

math.CO2025

Improved bounds for the coefficient of flow polynomials

Tingzeng Wu, Shuang Ma, Hong-Jian Lai

Let $G$ be a connected bridgeless $(n, m)$ -graph which may have loops and multiedges, and let $F (G, t)$ denote the flow polynomial of $G$ . Dong and Koh \cite{Dong1} established an up…

Hook immanantal equalities for linear combination matrices of (di)graphs and their applications

Non-uniform pairwise cross t-intersecting families

On the edge reconstruction of the second immanantal polynomials of undirected graph and digraph

Brualdi-Goldwasser-Michael problem for maximum permanents of {\rm(0,1)}-matrices

On the edge reconstruction of the second immanantal polynomials of undirected graph and digraph

Improved bounds for the coefficient of flow polynomials

Non-uniform pairwise cross $t$ -intersecting families