A Short Proof of a Theorem of Kano and Yu on Factors in Regular Graphs

نویسنده

  • Lutz Volkmann
چکیده

In this note we present a short proof of the following result, which is a slight extension of a nice 2005 theorem by Kano and Yu. Let e be an edge of an rregular graph G. If G has a 1-factor containing e and a 1-factor avoiding e, then G has a k-factor containing e and a k-factor avoiding e for every k ∈ {1, 2, . . . , r−1}.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 14  شماره 

صفحات  -

تاریخ انتشار 2007