1-factorizations of Cayley graphs on solvable groups

نویسندگان

  • Brian Alspach
  • Yusheng Qin
چکیده

A well known unresolved conjecture states that every Cayley graph on a solvable group G has a 1-factorization. We show that if the commutator subgroup of of such a group is an elementary abelian p-group, then every quartic Cayley graph on G has a 1-factorization.

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تاریخ انتشار 2008