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Showing 1 to 2 of 2 for “"Dynamics on graphs"”.
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Epidemics on Evolving Graphs
<p>The evoSIR model is a modification of the usual SIR process on a graph $G$ in which $S$-$I$ connections are broken at rate $\rho$ and the $S$ connects to a randomly chosen vertex. The evoSI model is the same as evoSI but recovery is impossible. In \cite{DOMath} the critical value for evoSIR was …
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Stability thresholds for signed Laplacians on locally-connected networks
… work we are interested in the stability bifurcations of the dynamical systems defined on graphs, and we use signed graph Laplacians as our tool. In chapter 1, we give the formal definition of the Laplacian matrix for a graph, and point out several references on it. In chapter 2, we give the main …