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math.CO2020
Towards Lehel's conjecture for 4-uniform tight cycles
Allan Lo, Vincent Pfenninger
A -uniform tight cycle is a -uniform hypergraph with a cyclic ordering of its vertices such that its edges are all the sets of size formed by consecutive vertices in…
math.CO2020★ 2 cited
Path decompositions of tournaments
António Girão, Bertille Granet, Daniela Kühn +2
In 1976, Alspach, Mason, and Pullman conjectured that any tournament of even order can be decomposed into exactly paths, where ${\rm ex}(T):= \frac{1}{2}\sum_{v\i…