Year: 2020
Type: preprint
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/(2$α$)+o(1)} , thus strengthening a result of [BFM15] which gave only an upper bound of n^{1/$α$+o(1)}.
Source: arXiv (Cornell University)
Authors: Mitsche, Dieter, Diel, Roland
Institution: Laboratoire Jean-Alexandre Dieudonné
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3010066474