A Note on Packing Graphs Without Cycles of Length up to Five

نویسندگان

  • Agnieszka Görlich
  • Andrzej Zak
چکیده

The following statement was conjectured by Faudree, Rousseau, Schelp and Schuster: if a graph G is a non-star graph without cycles of length m 6 4 then G is a subgraph of its complement. So far the best result concerning this conjecture is that every non-star graph G without cycles of length m 6 6 is a subgraph of its complement. In this note we show that m 6 6 can be replaced by m 6 5.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 16  شماره 

صفحات  -

تاریخ انتشار 2009