Xiaona Fang

activity

20172026

most citedNonequilibrium Physics in Biology

271 citations · 313 across the 11 of their papers we have counts for

collaborators

11 papers

math.CO2026

Any $k$ -graph with zero $ℓ$ -degree Turán density is layered

Jiabao Yang, Xiaona Fang, Yaojun Chen

The codegree Turán density $π_{co} (F)$ is the supremum over all $γ \in [0, 1)$ such that, for arbitrarily large $n$ , there exists an $n$ -vertex $F$ -free $k$ -graph $H$ whose…

math.CO2026

On the codegree Turán density of projective geometries

Xiaona Fang, Yaojun Chen

Let $F$ be a $k$ -uniform hypergraph, abbreviated as $k$ -graph. The codegree Turán density $γ (F)$ is the supremum over all $γ \in [0, 1)$ such that, for arbitrarily large $n$ , there e…

math.CO2026

On linear $k$ -graphs with codegree Turán density arbitrarily close to zero

Xiaona Fang, Yaojun Chen

Let $F$ be a $k$ -uniform hypergraph, abbreviated as $k$ -graph. The codegree Turán density $π_{co} (F)$ is the supremum over all $γ \in [0, 1)$ such that, for arbitrarily larg…

math.CO2024

Generalized Turán problem for a path and a clique

Xiaona Fang, Xiutao Zhu, Yaojun Chen

Let $H$ be a family of graphs. The generalized Turán number $e x (n, K_{r}, H)$ is the maximum number of copies of the clique $K_{r}$ in any $n$ -vertex $H$ -…

math.CO2023

The Turán number of path-star forests

Xiaona Fang, Yaojun Chen, Lihua You

The Turán number of a graph $H$ , denoted by $e x (n, H)$ , is the maximum number of edges in any graph on $n$ vertices containing no $H$ as a subgraph. A linear (star) forest is a fore…

math.CO2022

Regular graphs with a complete bipartite graph as a star complement

Xiaona Fang, Lihua You, Rangwei Wu +1

Let $G$ be a graph of order $n$ and $μ$ be an adjacency eigenvalue of $G$ with multiplicity $k \geq 1$ . A star complement $H$ for $μ$ in $G$ is an induced subgraph of $G$ of order $…

math.CO2022★ 2 cited

The maximum spectral radius of graphs of given size with forbidden subgraph

Xiaona Fang, Lihua You

Let $G$ be a graph of size $m$ and $ρ (G)$ be the spectral radius of its adjacency matrix. A graph is said to be $F$ -free if it does not contain a subgraph isomorphic to $F$ . In thi…

math.CO2021★ 2 cited

Spectral properties of $p$ -Sombor matrices and beyond

Hechao Liu, Lihua You, Yufei Huang +1

Let $G = (V (G), E (G))$ be a simple graph with vertex set $V (G) = {v_{1}, v_{2}, \dots, v_{n}}$ and edge set $E (G)$ . The $p$ -Sombor matrix $S_{p} (G)$ of $G$ is the square matr…

math.CO2021★ 36 cited

The expected values of Sombor indices in random hexagonal chains, phenylene chains and Sombor indices of some chemical graphs

Xiaona Fang, Lihua You, Hechao Liu

Hexagonal chains are a special class of catacondensed benzenoid system and phenylene chains are a class of polycyclic aromatic compounds. Recently, A family of Sombor indices was i…

physics.bio-ph2020★ 271 cited

Nonequilibrium Physics in Biology

Xiaona Fang, Karsten Kruse, Ting Lu +1

Life is characterized by a myriad of complex dynamic processes allowing organisms to grow, reproduce, and evolve. Physical approaches for describing systems out of thermodynamic eq…

q-bio.MN2017★ 2 cited

The emergence of the two cell fates and their associated switching for a negative auto-regulating gene

Zhenlong Jiang, Li Tian, Xiaona Fang +5

Decisions in the cell that lead to its ultimate fate are important for cellular functions such as proliferation, growth, differentiation, development and death. Understanding this…

Any k-graph with zero ℓ-degree Turán density is layered

On the codegree Turán density of projective geometries

On linear k-graphs with codegree Turán density arbitrarily close to zero

Generalized Turán problem for a path and a clique

The Turán number of path-star forests

Regular graphs with a complete bipartite graph as a star complement

The maximum spectral radius of graphs of given size with forbidden subgraph

Spectral properties of p-Sombor matrices and beyond

The expected values of Sombor indices in random hexagonal chains, phenylene chains and Sombor indices of some chemical graphs

Nonequilibrium Physics in Biology

The emergence of the two cell fates and their associated switching for a negative auto-regulating gene

Any $k$ -graph with zero $ℓ$ -degree Turán density is layered

On linear $k$ -graphs with codegree Turán density arbitrarily close to zero

Spectral properties of $p$ -Sombor matrices and beyond