1 citations · 2 across the 11 of their papers we have counts for
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A Proof of Nash-Williams' Conjecture
Michelle Delcourt, Luke Postle
A central open question in extremal design theory is Nash-Williams' Conjecture from 1970 that every triangle-divisible graph on vertices (for large enough) with minimum deg…
Fractional Clique Decompositions of Dense Hypergraphs
Michelle Delcourt, Thomas Lesgourgues, Luke Postle
In 2014, Keevash famously proved the existence of -Steiner systems as part of settling the Existence Conjecture of Combinatorial Designs (dating from the mid-1800s). In 20…
Beyond Nash-Williams: Counterexamples to Clique Decomposition Thresholds for All Cliques Larger than Triangles
Michelle Delcourt, Cicely Henderson, Thomas Lesgourgues +1
A central open question in extremal design theory is Nash-Williams' Conjecture from 1970 that every -divisible graph on vertices (for large enough) with minimum degree…
Erdős meets Nash-Williams
Michelle Delcourt, Cicely, Henderson +2
In 1847, Kirkman proved that there exists a Steiner triple system on vertices (equivalently a triangle decomposition of the edges of ) whenever satisfies the necessary…
A Short Proof of the Existence of -absorbers
Michelle Delcourt, Tom Kelly, Luke Postle
We codify a short self-contained proof of the existence of -absorbers implicit in Keevash's original proof of the Existence Conjecture. Combining this with the work of the f…
Sunflowers in set systems with small VC-dimension
József Balogh, Anton Bernshteyn, Michelle Delcourt +2
A family of distinct sets is an -sunflower if for all and , we have $A_i \cap A_j = A_…