activity
20142025
most citedThe extremal spectral radii of -uniform supertrees

17 citations · 23 across the 12 of their papers we have counts for

collaborators

12 papers

math.CO2025

Thin divisible designs graphs: an interplay between fixed-point free involutions of -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, -graphs with fixed-point free involutions, and signed graphs with an orthogonal…

math.CO2025

Spectral extremal problems for the -spectral radius of hypergraphs

Jian Zheng, Honghai Li, Li Su

Let be an -vertex -uniform hypergraph, and let be an -vertex -uniform hypergraph. Denote by the number of isomorphic copies of in . Fo…

math.CO2025

Spectral Turán-type problems for the -spectral radius of hypergraphs with degree stability

Jian Zheng, Honghai Li, Li Su

An -pattern is an ordered pair , where is a positive integer and is a set of -multisets with elements from . An -graph is said to be -co…

math.CO2025

The signless Laplacian spectral Turán problems for color-critical graphs

Jian Zheng, Yongtao Li, Honghai Li

The well-known Turán theorem states that if is an -vertex -free graph, then , with equality if and only if is the -partite Turán graph $T…

math.CO2025

A signless Laplacian spectral Erdös-Stone-Simonovits theorem

Jian Zheng, Honghai Li, Li Su

The celebrated Erdős--Stone--Simonovits theorem states that , where is the chromatic number of . In 2…

math.CO2024

Spectral Turán 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.CO2023

On a relationship between the characteristic and matching polynomials of a uniform hypertree

Honghai Li, Li Su, Shaun Fallat

A hypertree is a connected hypergraph without cycles. Further a hypertree is called an -tree if, additionally, it is -uniform. Note that 2-trees are just ordinary trees. A cl…

math.CO2019★ 3 cited

Integral graphs obtained by dual Seidel switching

Sergey Goryainov, Elena V. Konstantinova, Honghai Li +1

Dual Seidel switching is a graph operation introduced by W.~Haemers in 1984. This operation can change the graph, however it does not change its bipartite double, and because of th…

math.CO2018

The largest spectral radius of uniform hypertrees with a given size of matching

Li Su, Liying Kang, Honghai Li +1

In this paper, using the theory of matching polynomial of hypertrees and ordering of hypertrees, we determine the largest spectral radius of hypertrees with edges and given siz…

math.CO2018★ 1 cited

The matching polynomials and spectral radii of uniform supertrees

Li Su, Liying Kang, Honghai Li +1

We study matching polynomials of uniform hypergraph and spectral radii of uniform supertrees. By comparing the matching polynomials of supertrees, we extend Li and Feng's results o…

math.CO2015★ 2 cited

On the first and second eigenvalue of finite and infinite uniform hypergraphs

Hong-Hai Li, Bojan Mohar

Lower bounds for the first and the second eigenvalue of uniform hypergraphs which are regular and linear are obtained. One of these bounds is a generalization of the Alon-Boppana T…

math.SP2014★ 17 cited

The extremal spectral radii of -uniform supertrees

Honghai Li, Jiayu Shao, Liqun Qi

In this paper, we study some extremal problems of three kinds of spectral radii of -uniform hypergraphs (the adjacency spectral radius, the signless Laplacian spectral radius an…