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arxiv: 0802.1477 · v1 · submitted 2008-02-11 · 🧮 math.SP

Spectral Properties of Matrices Associated with Some Directed Graphs

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keywords associatedcertaincurvesdirectedgraphsmatricespropertiesspectral
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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.

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