Jingyin Huang

activity

20232026

collaborators

9 papers

math.CO2026

Chordal signed graphs and signed bigraphs

Jing Huang, Ying Ying Ye

Chordal graphs and chordal bigraphs enjoy beautiful characterizations, in terms of forbidden subgraphs, vertex/edge orderings, vertex/edge separating sets, and tree-like representa…

math.CO2025

Strong chordality in tournaments and multipartite tournaments with possible loops

Pavol Hell, César Hernández-Cruz, Jing Huang

Strongly chordal digraphs are included in the class of chordal digraphs and generalize strongly chordal graphs and chordal bipartite graphs. They are the digraphs that admit a line…

math.GR2024

Measure equivalence classification of right-angled Artin groups: the finite $Out$ classes

Camille Horbez, Jingyin Huang

Given a right-angled Artin group $G$ with finite outer automorphism group, we determine which right-angled Artin groups are measure equivalent (or orbit equivalent) to $G$ .

math.GT2024

Exotic aspherical 4-manifolds

Michael Davis, Kyle Hayden, Jingyin Huang +2

We construct closed, aspherical, smooth 4-manifolds that are homeomorphic but not diffeomorphic. These provide counterexamples to a smooth analog of the Borel conjecture in dimensi…

math.GR2024

Rigidity and classification results for large-type Artin groups

Jingyin Huang, Damian Osajda, Nicolas Vaskou

We compute the automorphism group of the intersection graph of many large-type Artin groups. This graph is an analogue of the curve graph of mapping class groups but in the context…

math.GR2024

On spherical Deligne complexes of type $D_{n}$

Jingyin Huang

Let $Δ$ be the Artin complex of the Artin group of type $D_{n}$ . This complex is also called the spherical Deligne complex of type $D_{n}$ . We show certain types of 6-cycles in the 1-s…

math.GR2024

Cycles in spherical Deligne complexes and application to $K (π, 1)$ -conjecture for Artin groups

Jingyin Huang

We introduce a method of finding large non-positively curved subcomplexes in certain spherical Deligne complexes, which is effective for studying fillings of certain 6-cycles in sp…

math.GR2023

Indiscrete Common Commensurators

Jingyin Huang, Mahan Mj

We develop a framework for common commensurators of discrete subgroups of lattices in isometry groups of CAT(0) spaces. We show that the Greenberg-Shalom hypothesis about discreten…

math.GR2023

Integrable measure equivalence rigidity of right-angled Artin groups via quasi-isometry

Camille Horbez, Jingyin Huang

Let $G$ be a right-angled Artin group with $∣ Out (G) ∣ < + \infty$ . We prove that if a countable group $H$ with bounded torsion is measure equivalent to $G$ , with an $L^{1}$ -inte…

Chordal signed graphs and signed bigraphs

Strong chordality in tournaments and multipartite tournaments with possible loops

Measure equivalence classification of right-angled Artin groups: the finite Out classes

Exotic aspherical 4-manifolds

Rigidity and classification results for large-type Artin groups

On spherical Deligne complexes of type Dn​

Cycles in spherical Deligne complexes and application to K(π,1)-conjecture for Artin groups

Indiscrete Common Commensurators

Integrable measure equivalence rigidity of right-angled Artin groups via quasi-isometry

Measure equivalence classification of right-angled Artin groups: the finite $Out$ classes

On spherical Deligne complexes of type $D_{n}$

Cycles in spherical Deligne complexes and application to $K (π, 1)$ -conjecture for Artin groups