Some interesting classes of $1$-factorizations and $1$-hyperfactorizations of the complete graph $K_{2n}$ are related to ovals in finite projective planes. We construct a new infinite family of $1$-factorizations of complete multigraphs arising from some combinatorial properties of ovals and unitals in projective planes over finite fields.

$1$-factorizations of complete multigraphs arising from finite geometry

KORCHMAROS, Gabor;SICILIANO, Alessandro;SONNINO, Angelo
2001-01-01

Abstract

Some interesting classes of $1$-factorizations and $1$-hyperfactorizations of the complete graph $K_{2n}$ are related to ovals in finite projective planes. We construct a new infinite family of $1$-factorizations of complete multigraphs arising from some combinatorial properties of ovals and unitals in projective planes over finite fields.
2001
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/15652
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