Measuring Entanglement in Physical Networks

Author:

Cory Glover, Albert-László Barabási

Keyword:

Condensed Matter, Disordered Systems and Neural Networks, Disordered Systems and Neural Networks (cond-mat.dis-nn), Physics and Society (physics.soc-ph)

journal:

date:

2024-03-02 00:00:00

Abstract

The links of a physical network cannot cross, which often forces the network layout into non- optimal entangled states. Here we define a network fabric as a two-dimensional projection of a network and propose the average crossing number as a measure of network entanglement. We analytically derive the dependence of the crossing number on network density, average link length, degree heterogeneity, and community structure and show that the predictions accurately estimate the entanglement of both network models and of real physical networks.

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