Honghai Li

collaborators

6 papers

math.CO2026

Spectral extremal problems for the $(p, Q)$ -spectral radius of hypergraphs

Jian Zheng, Honghai Li, Li Su

Let $Q$ be an $s$ -vertex $r$ -uniform hypergraph, and let $H$ be an $n$ -vertex $r$ -uniform hypergraph. Denote by $N (Q, H)$ the number of isomorphic copies of $Q$ in $H$ . Fo…

math.CO2026

Spectral TurÃ¡n-type problems for the $I^\pm$ -spectral radius of hypergraphs with degree stability

Jian Zheng, Honghai Li, Li Su

An $r$ -pattern $P$ is an ordered pair $P = ([l], E)$ , where $l$ is a positive integer and $E$ is a set of $r$ -multisets with elements from $[l]$ . An $r$ -graph $H$ is said to be $P$ -co…

math.CO2025

Thin divisible designs graphs: an interplay between fixed-point free involutions of $(v, k, I^»)$ -graphs and symmetric weighing matrices

Sergey Goryainov, Willem H. Haemers, Elena V. Konstantinova +1

In this paper, we illustrate important aspects of the interplay between weighing matrices, $(v, k, I^»)$ -graphs with fixed-point free involutions, and signed graphs with an orthogonal…

math.CO2025

Spectral TurÃ¡n problems for nondegenerate hypergraphs

Jian Zheng, Honghai Li, Yi-Zheng Fan

Keevash, Lenz and Mubayi developed a general criterion for hypergraph spectral extremal problems in their seminal work (SIAM J. Discrete Math., 2014). Their framework shows that ex…

math.CO2025

A signless Laplacian spectral ErdÃ¶s-Stone-Simonovits theorem

Jian Zheng, Honghai Li, Li Su

The celebrated ErdÅs--Stone--Simonovits theorem states that $ex (n, F) = (1 - \frac{1}{I ¨ ( F ) - 1} + o (1)) \frac{n ^{2}}{2}$ , where $I ¨ (F)$ is the chromatic number of $F$ . I…

math.CO2025

The signless Laplacian spectral TurÃ¡n problems for color-critical graphs

Jian Zheng, Yongtao Li, Honghai Li

The well-known TurÃ¡n theorem states that if $G$ is an $n$ -vertex $K_{r + 1}$ -free graph, then $e (G) \leq e (T_{n, r})$ , with equality if and only if $G$ is the $r$ -partite TurÃ¡n graph…

Spectral extremal problems for the (p,Q)-spectral radius of hypergraphs

Spectral TurÃ¡n-type problems for the I^±-spectral radius of hypergraphs with degree stability

Thin divisible designs graphs: an interplay between fixed-point free involutions of (v,k,I^»)-graphs and symmetric weighing matrices

Spectral TurÃ¡n problems for nondegenerate hypergraphs

A signless Laplacian spectral ErdÃ¶s-Stone-Simonovits theorem

The signless Laplacian spectral TurÃ¡n problems for color-critical graphs

Spectral extremal problems for the $(p, Q)$ -spectral radius of hypergraphs

Spectral TurÃ¡n-type problems for the $I^\pm$ -spectral radius of hypergraphs with degree stability

Thin divisible designs graphs: an interplay between fixed-point free involutions of $(v, k, I^»)$ -graphs and symmetric weighing matrices