26 citations · 106 across the 27 of their papers we have counts for
5 papers · 1 filter
The local limit of the uniform spanning tree on dense graphs
Jan Hladký, Asaf Nachmias, Tuan Tran
Let be a connected graph in which almost all vertices have linear degrees and let be a uniform spanning tree of . For any fixed rooted tree of height we compute…
On the separation conjecture in Avoider-Enforcer games
Małgorzata Bednarska-Bzdȩga, Omri Ben-Eliezer, Lior Gishboliner +1
Given a fixed graph with at least two edges and positive integers and , the strict Avoider-Enforcer -game, played on the edge set of , has the fol…
Balanced supersaturation for some degenerate hypergraphs
Jan Corsten, Tuan Tran
A classical theorem of Simonovits from the 1980s asserts that every graph satisfying must contain copies…
On the structure of large sum-free sets of integers
Tuan Tran
A set of integers is called sum-free if it contains no triple of not necessarily distinct elements with . In this paper, we provide a structural characterisation o…
A Note on the Minimum Number of Edges in Hypergraphs with Property O
Gal Kronenberg, Christopher Kusch, Ander Lamaison +2
An oriented -uniform hypergraph is said to have Property O if for every linear order of the vertex set, there is some edge oriented consistently with the linear order. Recently…