Author

Zhi-Lan Wang

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Preprint Jul 2026

The exact total degree threshold for the square of a Hamilton cycle in digraphs

The P\'{o}sa-Seymour conjecture establishes the minimum degree threshold required to guarantee the presence of the $k$th power of a Hamilton cycle in a graph. Following numerous partial results, Koml\'{o}s, S\'{a}rk\"{o}zy, and Szemer\'{e}di confirmed the conjecture holds for all sufficiently large graphs. Treglown lat...

Zhilan Wang, Shuo Wei, Jin Yan · 0 citations