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Spectral properties of matrices associated with some directed graphs
Author(s) -
Davies E. B.,
Incani P. A.
Publication year - 2010
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/pdp021
Subject(s) - mathematics , eigenvalues and eigenvectors , spectral properties , pure mathematics , combinatorics , chemistry , physics , computational chemistry , quantum mechanics
We study the spectral properties of certain non‐self‐adjoint matrices associated with large directed graphs. Asymptotically the eigenvalues converge to certain curves, apart from a finite number that have limits not on these curves.