activity
20122022
most citedOn a conjecture of Hefetz and Keevash on Lagrangians of intersecting hypergraphs and Turán numbers

6 citations · 7 across the 8 of their papers we have counts for

collaborators

12 papers

math.CO2022

Lagrangian densities of some -uniform hypergraphs

Zilong Yan, Yuejian Peng

The Lagrangian density of an -uniform hypergraph is multiplying the supremum of the Lagrangians of all -free -uniform hypergraphs. For an -uniform graph wi…

math.CO2022

Stability of intersecting families

Yang Huang, Yuejian Peng

The celebrated Erdős-Ko-Rado theorem \cite{EKR1961} states that the maximum intersecting -uniform family on is a full star if . Furthermore, Hilton-Milner \cite…

math.CO20221 cited

New proofs of stability theorems on spectral graph problems

Yongtao Li, Yuejian Peng

Both the Simonovits stability theorem and the Nikiforov spectral stability theorem are powerful tools for solving exact values of Turán numbers in extremal graph theory. Recently,…

math.CO2022

The Ramsey Number for a Forest versus Disjoint Union of Complete Graphs

Sinan Hu, Yuejian Peng

Given two graphs and , the Ramsey number is the minimum integer such that any coloring of the edges of in red or blue yields a red or a blue . Let…

math.CO2019

Lagrangian densities of short 3-uniform linear paths and Turán numbers of their extensions

Biao Wu, Yuejian Peng

For a fixed positive integer and an -uniform hypergraph , the Turán number is the maximum number of edges in an -free -uniform hypergraph on vertices,…

math.CO2018

Lagrangian densities of hypergraph cycles

Yuejian Peng, Zilong Yan

The Lagrangian density of an -uniform hypergraph is multiplying the supremum of the Lagrangians of all -free -uniform hypergraphs. For an -graph with v…