Forbidden subgraphs generating a finite set

نویسندگان

  • Jun Fujisawa
  • Michael D. Plummer
  • Akira Saito
چکیده

For a set F of connected graphs, a graph G is said to be F-free if G does not contain any member of F as an induced subgraph. The members of F are referred to as forbidden subgraphs. When we study the relationship between forbidden subgraphs and a certain graph property, we often allow the existence of exceptional graphs as long as their number is finite. However, in this type of research, if the set of k-connected F-free graphs itself, denoted by Gk(F), is finite, then every ∗Partially supported by Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C), 22500018, 2011

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عنوان ژورنال:
  • Discrete Mathematics

دوره 313  شماره 

صفحات  -

تاریخ انتشار 2013