David Conlon

activity

20242026

collaborators

3 papers

math.CO2026

Two counterexamples to a conjecture about even cycles

David Conlon, Eion Mulrenin, Cosmin Pohoata

A conjecture of Verstraëte states that for any fixed $ℓ < k$ there exists a positive constant $c$ such that any $C_{2 k}$ -free graph $G$ contains a $C_{2 ℓ}$ -free subgraph with…

math.CO2025

Hypergraphs accumulate infinitely often

David Conlon, Bjarne Schülke

We show that the set $Π^{(k)}$ of Turán densities of $k$ -uniform hypergraphs has infinitely many accumulation points in $[0, 1)$ for every $k \geq 3$ . This extends an earlier result…

math.CO2024

Hypergraphs accumulate

David Conlon, Bjarne Schülke

We show that for every integer $k \geq 3$ , the set of Turán densities of $k$ -uniform hypergraphs has an accumulation point in $[0, 1)$ . In particular, $1/2$ is an accumulation point f…