Simón Piga

activity

20202026

most citedLocalised codegree conditions for tight Hamilton cycles in 3-uniform hypergraphs

3 citations · 7 across the 18 of their papers we have counts for

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Showing 2024Show all

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math.CO2024

Powers of Hamilton cycles in oriented and directed graphs

Louis DeBiasio, Jie Han, Allan Lo +3

The Pósa--Seymour conjecture determines the minimum degree threshold for forcing the $k$ th power of a Hamilton cycle in a graph. After numerous partial results, Komlós, Sárközy and…

math.CO2024

The codegree Turán density of $3$ -uniform tight cycles

Simón Piga, Nicolás Sanhueza-Matamala, Mathias Schacht

Given any $ε > 0$ we prove that every sufficiently large $n$ -vertex $3$ -graph $H$ where every pair of vertices is contained in at least $(1/3 + ε) n$ edges contains…

Powers of Hamilton cycles in oriented and directed graphs

The codegree Turán density of 3-uniform tight cycles

The codegree Turán density of $3$ -uniform tight cycles