Universität zu Köln

Karalus, Steffen and Krug, Joachim ORCID: 0000-0002-2143-6490 (2015). Symmetry-based coarse-graining of evolved dynamical networks. EPL, 111 (3). MULHOUSE: EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY. ISSN 1286-4854

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Abstract

Networks with a prescribed power-law scaling in the spectrum of the graph Laplacian can be generated by evolutionary optimization. The Laplacian spectrum encodes the dynamical behavior of many important processes. Here, the networks are evolved to exhibit subdiffusive dynamics. Under the additional constraint of degree-regularity, the evolved networks display an abundance of symmetric motifs arranged into loops and long linear segments. Exploiting results from algebraic graph theory on symmetric networks, we find the underlying backbone structures and how they contribute to the spectrum. The resulting coarse-grained networks provide an intuitive view of how the anomalous diffusive properties can be realized in the evolved structures. Copyright (C) EPLA, 2015

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Karalus, Steffen UNSPECIFIED UNSPECIFIED UNSPECIFIED Krug, Joachim UNSPECIFIED orcid.org/0000-0002-2143-6490 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-397220
DOI:	10.1209/0295-5075/111/38003
Journal or Publication Title:	EPL
Volume:	111
Number:	3
Date:	2015
Publisher:	EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
Place of Publication:	MULHOUSE
ISSN:	1286-4854
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institut für Biologische Physik
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language COMPLEX NETWORKS; EVOLUTION; SYNCHRONIZATION; TOPOLOGY Multiple languages Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/39722