Han-Bin Zhang

activity

20172026

most citedErdős-Ginzburg-Ziv theorem and Noether number for

C_{m} ⋉_{φ} C_{mn}

25 citations · 27 across the 5 of their papers we have counts for

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5 papers · 1 filter

math.CO2026

Davenport Constants of Finite Abelian Groups

Dongchun Han, Hanbin Zhang

A central problem in zero-sum theory is to determine the Davenport constant of a finite abelian group. For a finite abelian group $G ≅ C_{n_{1}} \oplus \dots \oplus C_{n_{r}}$ , with $…

math.CO2026

On zero-sum polytopes: reciprocity, rigidity, and cyclic sieving

Dongchun Han, Xuan Wang, Hanbin Zhang +1

Let $G$ be a finite abelian group of order $n$ , and let $M (G, m)$ denote the set of zero-sum sequences over $G$ of length $m$ . We introduce the zero-sum polytope $\mathcal P…

math.CO2026

On immanants of Cayley tables

Xuan Wang, Hanbin Zhang

Let $G$ be a finite abelian group of order $n$ and let $M_{G} = (x_{a + b})_{a, b \in G}$ be the Cayley table of $G$ . Let $imm_{λ} (M_{G})$ be the immanant of $\mathcal…

math.CO2023★ 1 cited

New constructions of NMDS self-dual codes

Dongchun Han, Hanbin Zhang

Near maximum distance separable (NMDS) codes are important in finite geometry and coding theory. Self-dual codes are closely related to combinatorics, lattice theory, and have impo…

math.CO2017★ 25 cited

Erdős-Ginzburg-Ziv theorem and Noether number for $C_{m} ⋉_{φ} C_{mn}$

Dongchun Han, Hanbin Zhang

Let $G$ be a multiplicative finite group and $S = a_{1} \cdot \dots \cdot a_{k}$ a sequence over $G$ . We call $S$ a product-one sequence if $1 = \prod_{i = 1}^{k} a_{τ (i)}$ holds for some permuta…

Davenport Constants of Finite Abelian Groups

On zero-sum polytopes: reciprocity, rigidity, and cyclic sieving

On immanants of Cayley tables

New constructions of NMDS self-dual codes

Erdős-Ginzburg-Ziv theorem and Noether number for Cm​⋉φ​Cmn​

Erdős-Ginzburg-Ziv theorem and Noether number for $C_{m} ⋉_{φ} C_{mn}$