Maximum degree in minor-closed classes of graphs

نویسندگان

  • Omer Giménez
  • Dieter Mitsche
  • Marc Noy
چکیده

Given a class of graphs G closed under taking minors, we study the maximum degree ∆n of random graphs from G with n vertices. We prove several lower and upper bounds that hold with high probability. Among other results, we find classes of graphs providing orders of magnitude for ∆n not observed before, such us log n/ log log log n and log n/ log log log log n. © 2016 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 55  شماره 

صفحات  -

تاریخ انتشار 2016