Graph classes characterized both by forbidden subgraphs and degree sequences

نویسندگان

  • Michael D. Barrus
  • Mohit Kumbhat
  • Stephen G. Hartke
چکیده

Given a set F of graphs, a graph G is F-free if G does not contain any member of F as an induced subgraph. We say that F is a degree-sequence-forcing set if, for each graph G in the class C of F-free graphs, every realization of the degree sequence of G is also in C. We give a complete characterization of the degree-sequence-forcing sets F when F has cardinality at most two. © 2007 Wiley Periodicals, Inc. J Graph Theory 57: 131–148, 2008

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عنوان ژورنال:
  • Journal of Graph Theory

دوره 57  شماره 

صفحات  -

تاریخ انتشار 2008