E. Mulrenin

activity

20242026

collaborators

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2 papers · 1 filter

math.CO2025

Some remarks on Folkman graphs for triangles

Eion Mulrenin, Steven Van Overberghe

Folkman's theorem asserts the existence of graphs $G$ which are $K_{4}$ -free, but which have the property that every two-coloring of $E (G)$ contains a monochromatic triangle. The qua…

math.CO2025

Even cycles in graphs avoiding longer 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…