# Macajova, Edita

## The intersection of two perfect matchings ★★

Author(s): Macajova; Skoviera

\begin{conjecture} Every bridgeless cubic graph has two perfect matchings $M_1$, $M_2$ so that $M_1 \cap M_2$ does not contain an odd edge-cut. \end{conjecture}

Keywords: cubic; nowhere-zero flow; perfect matching