@article{06014fec608d47eabff6bd26bcfe7f44,
title = "Extremal linkage networks",
abstract = "We demonstrate how sophisticated graph properties, such as small distances and scale-free degree distributions, arise naturally from a reinforcement mechanism on layered graphs. Every node is assigned an a-priori i.i.d. fitness with max-stable distribution. The fitness determines the node attractiveness w.r.t. incoming edges as well as the spatial range for outgoing edges. For max-stable fitness distributions, we thus obtain a complex spatial network, which we coin extremal linkage network.",
keywords = "05C80, 60G70, 60K35, Coalescence, Max-stable fitnesses, Random tree, Small-world graph, Spatial network",
author = "Markus Heydenreich and Christian Hirsch",
note = "Funding Information: The authors are indebted to Lisa Hartung for pointing us to the relevant stable limit laws for martingales. We also thank both anonymous referees for their constructive feedback. CH acknowledges the financial support of the CogniGron research center and the Ubbo Emmius Funds (University of Groningen). Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2022",
month = jun,
doi = "10.1007/s10687-021-00433-3",
language = "English",
volume = "25",
pages = "229–255",
journal = "Extremes",
issn = "1386-1999",
}