Titlebook: Discrete and Continuous Models in the Theory of Networks; Fatihcan M. Atay,Pavel B. Kurasov,Delio Mugnolo Book 2020 Springer Nature Switze

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,Spectral Monotonicity for Schr?dinger Operators on Metric Graphs,btained for permutation invariant vertex conditions, which, amongst others, include . and ..-type conditions. We show that adding edges to the graph or joining vertices changes the eigenvalues monotonically. However, the monotonicity properties may differ from what is known for the previously studie

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Random Graphs and Their Subgraphs,rent models and analyze how properties like connectedness and degree distributions are inherited by differently constructed subgraphs. We also give a formula for the variance of the degrees of fixed nodes in the preferential attachment model and additionally draw a connection between weighted graphs

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https://doi.org/10.1007/978-2-287-39310-5rent models and analyze how properties like connectedness and degree distributions are inherited by differently constructed subgraphs. We also give a formula for the variance of the degrees of fixed nodes in the preferential attachment model and additionally draw a connection between weighted graphs and electrical networks.

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Fatihcan M. Atay,Pavel B. Kurasov,Delio MugnoloCovers current research in the areas of operator theory and dynamical systems on networks and their applications.Indicates possible future directions.Will be interesting to all researchers focusing on