### Web: http://arxiv.org/abs/2206.07083

June 16, 2022, 1:12 a.m. | Anirudh Rayas, Rajasekhar Anguluri, Gautam Dasarathy

Many networked systems such as electric networks, the brain, and social
networks of opinion dynamics are known to obey conservation laws. Examples of
this phenomenon include the Kirchoff laws in electric networks and opinion
consensus in social networks. Conservation laws in networked systems may be
modeled as balance equations of the form $X = B^{*} Y$, where the sparsity
pattern of $B^{*}$ captures the connectivity of the network, and $Y, X \in \mathbb{R}^p$ are vectors of "potentials" and "injected flows" …

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