Large induced degenerate subgraphs

نویسندگان

  • Noga Alon
  • Jeff Kahn
  • Paul D. Seymour
چکیده

A graph H is d-degenerate if every subgraph of it contains a vertex of degree smaller than d. For a graph G, let ad(G) denote the maximum number of vertices of an induced d-degenerate subgraph of G. Sharp lowers bounds for %(G) in terms of the degree sequence of G are obtained, and the minimum number of edges of a graph G with n vertices and ~2(G) < m is determined precisely for all m < n.

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عنوان ژورنال:
  • Graphs and Combinatorics

دوره 3  شماره 

صفحات  -

تاریخ انتشار 1987