Cicely Henderson

collaborators

3 papers

math.CO2025

On the Hypergraph Nash-Williams' Conjecture

Cicely Henderson, Luke Postle

In 2014, Keevash proved the existence of $(n, q, r)$ -Steiner systems (equivalently $K_{q}^{r}$ -decompositions of $K_{n}^{r}$ ) for all large enough $n$ satisfying the necessary divisibility c…

math.CO2025

Erdős meets Nash-Williams

Michelle Delcourt, Cicely, Henderson +2

In 1847, Kirkman proved that there exists a Steiner triple system on $n$ vertices (equivalently a triangle decomposition of the edges of $K_{n}$ ) whenever $n$ satisfies the necessary…

math.CO2025

Hamilton cycles in regular graphs perturbed by a random 2-factor

Cicely, Henderson, Sean Longbrake +2

In this paper, we prove that for each $d \geq 2$ , the union of a $d$ -regular graph with a uniformly random $2$ -factor on the same vertex set is Hamiltonian with high probability. T…