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Publications (10)

math.CO2025

Spectral extrema of graphs of given even size forbidding H(4,3)

Ruiling Zheng, Gang Zhang

A graph is sad to be $H$ -free if it does not contain $H$ as a subgraph. Let $H (k, 3)$ be the graph formed by taking a cycle of length $k$ and a triangle on a common vertex. Li, Lu a…

math.CO2023

Two spectral extremal results for graphs with given order and rank

Xiuqing Li, Xian'an Jin, Chao Shi +1

The spectral radius and rank of a graph are defined to be the spectral radius and rank of its adjacency matrix, respectively. It is an important problem in spectral extremal graph…

cs.RO2026

World In Your Hands: A Large-Scale and Open-Source Ecosystem for Learning Human-Centric Manipulation in the Wild

Yupeng Zheng, Jichao Peng, Weize Li +22

We introduce World In Your Hands (WIYH), a large-scale open-source ecosystem comprising over 1,000 hours of human manipulation data collected in-the-wild with millimeter-scale moti…

math.CO2023

Extremal trees, unicyclic and bicyclic graphs with respect to $p$ -Sombor spectral radii

Ruiling Zheng, Tianlong Ma, Xian'an Jin

For a graph $G = (V, E)$ and $v_{i} \in V$ , denote by $d_{v_{i}}$ (or $d_{i}$ for short) the degree of vertex $v_{i}$ . The $p$ -Sombor matrix $S_{p} (G)$ ( $p \neq = 0$ ) of…

math.CO2026

A sharp RandiÄ bound for KÃ¶nig--EgervÃ¡ry graphs and a conjecture of Aouchiche, Hansen, and Zheng

Pei Liu, Feiyu Nan, Suil O +1

Let $I^\pm^{'} (G)$ be the matching number of a graph $G$ , and let its RandiÄ index be $R (G) = \sum_{uv \in E (G)} (d (u) d (v))^{- 1/2}$ . In 2006, Aouchiche, Hansen, and Zheng conjectured that t…

math.SP2022

Arithmetic-Geometric spectral radii of Unicyclic graphs

Ruiling Zheng, Xian'an Jin

Let $d_{v_{i}}$ be the degree of the vertex $v_{i}$ of $G$ . The arithmetic-geometric matrix $A_{a g} (G)$ of a graph $G$ is a square matrix, where the $(i, j)$ -entry is equal to $\dis…

math.CO2026

A container theorem for general digraphs with forbidden subdigraphs

Meili Liang, Yue Guan, Ruiling Zheng +1

In a seminal work, KÃ¼hn, Osthus, Townsend, and Zhao used the hypergraph container method to determine the typical structure of oriented graphs and digraphs avoiding a fixed tourna…

math.CO2021

Arithmetic-Geometric Spectral Radius of Trees and Unicyclic Graphs

Ruiling Zheng, Xian, an Jin

The arithmetic-geometric matrix $A_{a g} (G)$ of a graph $G$ is a square matrix, where the $(i, j)$ -entry is equal to $\frac{d _{i} + d _{j}}{2 d _{i} d _{j}}$ if the ver…

math.CO2026

The typical structure of oriented graphs and digraphs with forbidden blow-up of transitive tournaments

Meili Liang, Yue Guan, Ruiling Zheng +1

For integers $r\ge 2$, $t\ge 1$ and a real number $a\in(3/2,2]$, we study the typical structure of oriented graphs and digraphs that do not contain a blow-up $T_{r+1}^t$ of…

math.CO2022

Extremal trees with respect to spectral radius of restrictedly weighted adjacency matrices

Ruiling Zheng, Xiaxia Guan, Xian an Jin

For a graph $G = (V, E)$ and $v_{i} \in V$ , denote by $d_{i}$ the degree of vertex $v_{i}$ . Let $f (x, y) > 0$ be a real symmetric function in $x$ and $y$ . The weighted adjacency matrix $…

Publications (10)

Spectral extrema of graphs of given even size forbidding H(4,3)

Two spectral extremal results for graphs with given order and rank

World In Your Hands: A Large-Scale and Open-Source Ecosystem for Learning Human-Centric Manipulation in the Wild

Extremal trees, unicyclic and bicyclic graphs with respect to p-Sombor spectral radii

A sharp RandiÄ bound for KÃ¶nig--EgervÃ¡ry graphs and a conjecture of Aouchiche, Hansen, and Zheng

Arithmetic-Geometric spectral radii of Unicyclic graphs

A container theorem for general digraphs with forbidden subdigraphs

Arithmetic-Geometric Spectral Radius of Trees and Unicyclic Graphs

The typical structure of oriented graphs and digraphs with forbidden blow-up of transitive tournaments

Extremal trees with respect to spectral radius of restrictedly weighted adjacency matrices

Extremal trees, unicyclic and bicyclic graphs with respect to $p$ -Sombor spectral radii

A sharp RandiÄ bound for KÃ¶nig--EgervÃ¡ry graphs and a conjecture of Aouchiche, Hansen, and Zheng