We solve a problem of Krivelevich, Kwan and Sudakov concerning the threshold for the
containment of all bounded degree spanning trees in the model of randomly perturbed …

A perfect H-tiling in a graph G is a collection of vertex-disjoint copies of a graph H in G that
together cover all the vertices in G. In this paper we investigate perfect H-tilings in a random …

We study the model G α∪ G (n, p) of randomly perturbed dense graphs, where G α is any n‐
vertex graph with minimum degree at least α n and G (n, p) is the binomial random graph …

We show that for any fixed dense graph G and bounded-degree tree T on the same number
of vertices, a modest random perturbation of G will typically contain a copy of T. This …

A perfect K r‐tiling in a graph G is a collection of vertex‐disjoint copies of K r that together
cover all the vertices in G. In this paper we consider perfect K r‐tilings in the setting of …

For k≥ 2 and r≥ 1 such that k+ r≥ 4, we prove that, for any α> 0, there exists ε> 0 such that
the union of an n‐vertex k‐graph with minimum codegree and a binomial random k‐graph …

We prove that for integers $2\leq\ell< k $ and a small constant $ c $, if a $ k $-uniform
hypergraph with linear minimum codegree is randomlyperturbed'by changing non-edges to …

arxiv:1901.07139v25 [math.CO] 13 Dec 2023 Hamilton Cycles in Random Graphs: a
bibliography Page 1 arxiv:1901.07139v25 [math.CO] 13 Dec 2023 Hamilton Cycles in …

Given graphs H1, H2, a graph G is (H1, H2)-Ramsey if, for every colouring of the edges of G
with red and blue, there is a red copy of H1 or a blue copy of H2. In this paper we investigate …

A classical result of Komlós, Sárközy, and Szemerédi states that every n‐vertex graph with
minimum degree at least (1/2+ o (1)) n contains every n‐vertex tree with maximum degree …