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On the largest component of subcritical random hyperbolic graphs

Authors
  • Mitsche, Dieter
  • Diel, Roland
Publication Date
Mar 02, 2020
Source
Kaleidoscope Open Archive
Keywords
Language
English
License
Unknown
External links

Abstract

We consider the random hyperbolic graph model introduced by [KPK + 10] and then formalized by [GPP12]. We show that, in the subcritical case α > 1, the size of the largest component is n^{1/(2α)+o(1)} , thus strengthening a result of [BFM15] which gave only an upper bound of n^{1/α+o(1)}.

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