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- W4291338831 abstract "Motivated by results of Henry, Pralat and Zhang (PNAS 108.21 (2011): 8605-8610), we propose a general scheme for evolving spatial networks in order to reduce their total edge lengths. We study the properties of the equilbria of two networks from this class, which interpolate between three well studied objects: the ErdH{o}s-R'{e}nyi random graph, the random geometric graph, and the minimum spanning tree. The first of our two evolutions can be used as a model for a social network where individuals have fixed opinions about a number of issues and adjust their ties to be connected to people with similar views. The second evolution which preserves the connectivity of the network has potential applications in the design of transportation networks and other distribution systems." @default.
- W4291338831 created "2022-08-15" @default.
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- W4291338831 date "2014-07-16" @default.
- W4291338831 modified "2023-09-29" @default.
- W4291338831 title "Spatial networks evolving to reduce length" @default.
- W4291338831 doi "https://doi.org/10.48550/arxiv.1407.4330" @default.
- W4291338831 hasPublicationYear "2014" @default.
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