Preferential Detachment in Broadcast Signaling Networks: Connectivity and Cost Trade-off
May Lim, Dan Braha, Sanith Wijesinghe, Stephenson Tucker, and Yaneer, Bar-Yam

TL;DR
This paper presents a network formation mechanism that reduces communication distances in broadcast signaling networks, significantly lowering costs while maintaining connectivity and signal reach.
Contribution
It introduces a preferential detachment method allowing nodes to autonomously decrease transmission radii, optimizing resource use without losing network connectivity.
Findings
Cost reductions up to 90% achieved
Effective across various spatial topologies
Maintains connectivity and maximum hop distance
Abstract
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.
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