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Difference equations on weighted graphs. (English) Zbl 1068.05039
Summary: In discrete systems graphs setting, we mimic the variational formulation of boundary value problems. Working on with unnormalized weights rather than normalized weights, discrete Dirichlet and Neumann problems, and their probabilistic interpretations are discussed. Moreover, nonsymmetric forms, nonvariational setting, and an identification problem are also considered.

MSC:
05C40 Connectivity
05C35 Extremal problems in graph theory
35R30 Inverse problems for PDEs
94C12 Fault detection; testing in circuits and networks
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