Titlebook: Combinatorial Matrix Theory; Richard A. Brualdi,ángeles Carmona,Dragan Stevanov Textbook 2018 Springer International Publishing AG, part o

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Spectral Radius of Graphs,he adjacency matrix, which encodes existence of edges joining vertices of a graph. Knowledge of spectral properties of the adjacency matrix is often useful to describe graph properties which are related to the density of the graph’s edges, on either a global or a local level. For example, entries of

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Boundary Value Problems on Finite Networks,h differs from others because the tools we use come from discrete potential theory, in which we have been working for a long period, trying to emulate as much as possible the continuous case. This chapter introduces this way of approximating a problem typical of matrix theory and offers an overview

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Combinatorial Matrix Theory978-3-319-70953-6Series ISSN 2297-0304 Series E-ISSN 2297-0312

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https://doi.org/10.1007/978-3-211-85782-3es. The presentation below draws heavily from Kirkland–Neumann [11, Ch. 7], and the interested reader can find further results on the topic in that book. We note that Molitierno [13] also covers some of the material presented in this chapter, and so serves as another source for readers interested in pursuing this subject further.

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Richard A. Brualdi,ángeles Carmona,Dragan StevanovFocuses on permutation, alternating sign and tournament matrices.Includes an introduction to boundary value problems and related techniques on finite networks.Discusses applications of the group inver

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