Excluding four-edge paths and their complements

نویسندگان

  • Maria Chudnovsky
  • Peter Maceli
  • Irena Penev
چکیده

We prove that a graph G contains no induced four-edge path and no induced complement of a four-edge path if and only if G is obtained from five-cycles and split graphs by repeatedly applying the following operations: substitution, split graph unification, and split graph unification in the complement (“split graph unification” is a new class-preserving operation that is introduced in this paper).

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عنوان ژورنال:
  • CoRR

دوره abs/1302.0405  شماره 

صفحات  -

تاریخ انتشار 2013