Abstract
The interrelationship between graph theory and differential geometry has played an important role in these two areas of research over the last ten years. Applications of this work have appeared in communication networks, the work on expanders, superconcentrators and Ramanujan graphs (v., Lubotzky (1994)) and in work on coding theory (v., e.g. the papers of Tillich and Zemor (1997) and Lafferty and Rockmore (1997)). In this review the focus is on the recent work on zeta functions and the Selberg trace formula for finite graphs and the extensions of these results to infinite graphs. The general theme is spectral theory on finite volume graphs.
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© 2000 Springer Science+Business Media Dordrecht
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Hurt, N.E. (2000). STF and Finite Volume Graphs. In: Mathematical Physics of Quantum Wires and Devices. Mathematics and Its Applications, vol 506. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9626-8_9
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DOI: https://doi.org/10.1007/978-94-015-9626-8_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5446-3
Online ISBN: 978-94-015-9626-8
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