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TOC Alert for Publication# 6488902 2018October 08<![CDATA[A Mathematical Theory for Multistage Battery Switching Networks]]>max loads under the constraint that the total voltages of these loads do not exceed a design constant Vmax. Moreover, the voltage of each battery pack can be determined optimally by solving a Simultaneous Integer Representation (SIR) problem. To determine the capacity of each battery pack, we propose a max-min fairness battery allocation scheme, and show by computer simulations that such a scheme outperforms the uniform battery allocation scheme. We also propose a fault tolerant battery switching network that can still be operated properly even after F_{max} battery packs fail. Such a fault tolerant battery switching network enables a battery system to implement the Largest Remaining Capacity First (LRCF) policy that does not require the knowledge of the load profile.]]>53171183739<![CDATA[Finite-Time Passivity of Coupled Neural Networks with Multiple Weights]]>531841972326<![CDATA[Isomorphisms in Multilayer Networks]]>53198211677<![CDATA[Observational Equivalence in System Estimation: Contractions in Complex Networks]]>532122241541<![CDATA[Provision of Public Goods on Networks: On Existence, Uniqueness, and Centralities]]>53225236443<![CDATA[Recovering Asymmetric Communities in the Stochastic Block Model]]>p* = ^{1}/_{2} - ^{1}/_{(2√3)}, so that the Kesten-Stigum threshold is the threshold for solvability of the community detection in this case. However when the smallest community is smaller than p*, the spinodal curve only provides a lower bound on the threshold for solvability. In the regime below the Kesten-Stigum bound and above the spinodal curve, we also characterize the performance of best local algorithms as a function of the fraction of revealed vertices. Our proof relies on a careful analysis of the associated reconstruction problem on trees which might be of independent interest. In particular, we show that the spinodal curve corresponds to the reconstruction threshold on the tree.]]>53237246374<![CDATA[Weighted Bearing-Compass Dynamics: Edge and Leader Selection]]>53247260763