Yin Liu

activity

20162026

collaborators

8 papers

math.FA2026

Strict Monotonicity of Numerical Invariants for the Submodules $[(z - w)^{k}]$ in $H^{2} (D^{2})$

Yin Liu, Yufeng Lu, Chao Zu

For $k \geq 1$ , let $M_{k} = [(z - w)^{k}] \subset H^{2} (D^{2})$ . We first determine the banded Toeplitz matrices associated with the homogeneous components of $M_{k}$ , together with explic…

math.FA2026

Block Repetition of Numerical Invariants for the Submodules $[z^{k} - w^{k}]$ in $H^{2} (D^{2})$

Yin Liu, Yufeng Lu, Chao Zu

For $k \geq 2$ , let $M_{k} = [z^{k} - w^{k}]$ be the principal homogeneous submodule of the Hardy space over the bidisk. We determine Yang's complete sequence of numerical invariants and prove…

math.FA2026

On numerical invariants for submodules $[(z - w)^{2}]$ in $H^{2} (D^{2})$

Yin Liu, Yufeng Lu, Chao Zu

In this paper, we study numerical invariants associated with a homogeneous submodule of the Hardy module over the bidisk. We focus on the submodule generated by the polynomial $(z-…

cs.CC2024

A combinatorial view of Holant problems on higher domains

Yin Liu

On the Boolean domain, there is a class of symmetric signatures called ``Fibonacci gates'' for which a beautiful P-time combinatorial algorithm has been designed for the correspond…

cs.CC2023

Restricted Holant Dichotomy on Domains 3 and 4

Yin Liu, Austen Z. Fan, Jin-Yi Cai

$Holant^{*} (f)$ denotes a class of counting problems specified by a constraint function $f$ . We prove complexity dichotomy theorems for $Holant^{*} (f)$ in…

cs.CC2021

Bipartite 3-Regular Counting Problems with Mixed Signs

Jin-Yi Cai, Austen Z. Fan, Yin Liu

We prove a complexity dichotomy for a class of counting problems expressible as bipartite 3-regular Holant problems. For every problem of the form $\operatorname{Holant}\left(f\mid…

math.GR2016

Finite groups with coprime fixed-point-free automorphisms and applications

Lei Wang, Yin Liu

We study a class of finite groups $G$ which behave similarly to elementary abelian $p$ -groups with $p$ prime, that is, there exists a subgroup $N$ such that all elements of $G\setm…

math.GR2016

Tetravalent edge-transitive Cayley graphs of Frobenius groups

Lei Wang

In this paper, we give a characterization for a class of edge-transitive Cayley graphs, and provide methods for constructing Cayley graphs with certain symmetry properties. Also th…

Strict Monotonicity of Numerical Invariants for the Submodules [(z−w)k] in H2(D2)

Block Repetition of Numerical Invariants for the Submodules [zk−wk] in H2(D2)

On numerical invariants for submodules [(z−w)2] in H2(D2)

A combinatorial view of Holant problems on higher domains

Restricted Holant Dichotomy on Domains 3 and 4

Bipartite 3-Regular Counting Problems with Mixed Signs

Finite groups with coprime fixed-point-free automorphisms and applications

Tetravalent edge-transitive Cayley graphs of Frobenius groups

Strict Monotonicity of Numerical Invariants for the Submodules $[(z - w)^{k}]$ in $H^{2} (D^{2})$

Block Repetition of Numerical Invariants for the Submodules $[z^{k} - w^{k}]$ in $H^{2} (D^{2})$

On numerical invariants for submodules $[(z - w)^{2}]$ in $H^{2} (D^{2})$