Analytic combinatorics of connected graphs

نویسنده

  • Elie de Panafieu
چکیده

We enumerate the connected graphs that contain a linear number of edges with respect to the number of vertices. So far, only first term of the asymptotics and a bound on the error were known. Using analytic combinatorics, i.e. generating function manipulations, we derive the complete asymptotic expansion. keywords. connected graphs, analytic combinatorics, generating functions, asymptotic expansion

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عنوان ژورنال:
  • CoRR

دوره abs/1605.08597  شماره 

صفحات  -

تاریخ انتشار 2016