Extremal P4-stable graphs

نویسندگان

  • Illés Horváth
  • Gyula Y. Katona
چکیده

Call a graph G k-stable (with respect to some graph H) if, deleting any k edges of G, the remaining graph still contains H as a subgraph. For a fixed H, the minimum number of edges in a k-stable graph is denoted by S(k). We prove general bounds on S(k) and compute the exact value of the function S(k) for H = P4. The main result can be applied to extremal k-edge-hamiltonian hypergraphs.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 159  شماره 

صفحات  -

تاریخ انتشار 2011