Extremal linkage networks

Markus Heydenreich; Christian Hirsch

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arXiv · 2006.00747

Extremal linkage networks

Markus Heydenreich·Christian Hirsch

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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 complex spatial network, which we coin extremal linkage network.

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Markus Heydenreich, Christian Hirsch. 2020-06-01. Extremal linkage networks. https://arxiv.org/abs/2006.00747

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