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Preferential detachment in broadcast signaling networks: Connectivity and cost trade-off

M. Lim1,2, D. Braha1,3, S. Wijesinghe1, S. Tucker4 and Y. Bar-Yam1

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We consider a network of nodes distributed in physical space without physical links communicating through message broadcasting over specified distances. Typically, communication using smaller distances is desirable due to savings in energy or other resources. We introduce a network formation mechanism to enable reducing the distances while retaining connectivity. Nodes, which initially transmit signals at a prespecified maximum distance, subject links to preferential detachment by autonomously decreasing their transmission radii while satisfying conditions of zero communication loss and fixed maximum node-hopping distance for signaling. Applied to networks with various spatial topologies, we find cost reductions as high as 90% over networks that are restricted to have all nodes with equal transmission distance.


PACS

84.40.Ua Telecommunications: signal transmission and processing; communication satellites

89.75.Fb Structures and organization in complex systems

89.75.Hc Networks and genealogical trees

Subjects

Electronics and devices

Statistical physics and nonlinear systems

Dates

Issue 5 (September 2007)

Received 10 May 2007, accepted for publication 17 July 2007

Published 6 August 2007



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