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{\bf M. Kano and Qinglin Yu}
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{\bf Pan-Factorial Property in Regular Graphs}
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Among other results, we show that if for any given edge $e$ of an
$r$-regular graph $G$ of even order, $G$ has a 1-factor containing
$e$, then $G$ has a $k$-factor containing $e$ and another one avoiding
$e$ for all $k$, $1 \leq k \leq r-1$.

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