Combinatorial L²-determinants

1999/09/03 by Anton Deitmar, Deitmar, Anton
Computer Science · Mathematics · #Advanced Algebra and Geometry #Graph theory and applications #Topological and Geometric Data Analysis #math.NT

paper · pdf · doi:10.48550/arxiv.math/9909022

LATEX, 11 pages, to appear in: Proc. Edinburgh Math. Soc

arxiv created 1999/09/03 · arxiv updated 2009/11/30

Abstract

We show that the zeta function of a regular graph admits a representation as a quotient of a determinant over a L²-determinant of the combinatorial Laplacian.

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