Developmental time windows for spatial growth generate multiple-cluster small-world networks |
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Authors: | F Nisbach M Kaiser |
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Institution: | (1) University of Karlsruhe, Institut für Algebra und Geometrie, Englerstr. 2, 76128 Karlsruhe, Germany;(2) School of Computing Science, Newcastle University, Newcastle upon Tyne, NE1 7RU, UK |
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Abstract: | Many networks extent in space, may it be metric (e.g. geographic) or non-metric (ordinal). Spatial network growth, which depends
on the distance between nodes, can generate a wide range of topologies from small-world to linear scale-free networks. However,
networks often lacked multiple clusters or communities. Multiple clusters can be generated, however, if there are time windows
during development. Time windows ensure that regions of the network develop connections at different points in time. This
novel approach could generate small-world but not scale-free networks. The resulting topology depended critically on the overlap
of time windows as well as on the position of pioneer nodes. |
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Keywords: | 89 75 Fb Structures and organization in complex systems 89 75 Hc Networks and genealogical trees 87 18 Sn Neural networks |
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