科研之友
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摘要
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 <= 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 is a subgraph of its complement. In this note we show that m <= 6 can be replaced by m <= 5.
- 出版日期2009-10-26
