activity
20212026
most citedThe maximum number of triangles in -free graphs

3 citations · 8 across the 21 of their papers we have counts for

collaborators

21 papers

math.CO2026

Near-optimal Turán densities of -graphs on vertices

Jiabao Yang, Xiutao Zhu

Let be the Turán density of an r-uniform hypergraph and let denote the -uniform hypergraph on vertices with exactly edges, where . Si…

math.CO2026

Turán-Type Extremal Results for Distance- Graphs

Zhen He, Nika Salia, Casey Tompkins +1

We study Turán-type extremal problems for distance graphs, motivated by work of Csikvári, Bollobás, Tyomkyn, and Uzzell. We determine the maximum number of vertex pairs at distance…

math.CO2026

The Turán number of the triangular pyramid of 4-layers

Hangdi Chen, Yaojun Chen, Xiutao Zhu

The Turán number of a graph is the maximum number of edges in any -free graph on vertices. The triangular pyramid of -layers, denoted by , is a genera…

math.CO2025

The Connected Bipartite Turán Problem for Long Cycles and Paths

Zhen He, Nika Salia, Xiutao Zhu

Caro, Patkós, and Tuza initiated a systematic study of the bipartite Turán number for trees, and in particular asked for the extremal number of edges in connected bipartite graphs…

math.CO2025

Sets avoiding a rainbow solution to the generalized Schur equation

Ervin Győri, Zhen He, Zequn Lv +4

A classical result in combinatorial number theory states that the largest subset of avoiding a solution to the equation is of size . For all intege…

math.CO2025

Turán problems for suspension of a balanced tree

Xiutao Zhu, Xiaolin Wang, Yanbo Zhang +1

The Turán number $\ex(n,H)$ is the maximum number of edges that an -vertex -free graph can have. The suspension is obtained from by adding a new vertex whic…