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Graph reconstruction and quantum statistical mechanics

Cornelissen, Gunther and Marcolli, Matilde (2013) Graph reconstruction and quantum statistical mechanics. Journal of Geometry and Physics, 72 . pp. 110-117. ISSN 0393-0440. doi:10.1016/j.geomphys.2013.03.021.

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We study how far it is possible to reconstruct a graph from various Banach algebras associated to its universal covering, and extensions thereof to quantum statistical mechanical systems. It turns out that most the boundary operator algebras reconstruct only topological information, but the statistical mechanical point of view allows for complete reconstruction of multigraphs with minimal degree three.

Item Type:Article
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Additional Information:© 2013 Elsevier B.V. Received 26 September 2012. Received in revised form 27 December 2012. Available online 29 March 2013.
Subject Keywords:Graph; Graph reconstruction; Quantum statistical mechanics; Graph C∗-algebra
Classification Code:MSC: 05C99; 37B10; 46L55; 53C24; 81T75; 82B10
Record Number:CaltechAUTHORS:20130909-153558798
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Official Citation:Gunther Cornelissen, Matilde Marcolli, Graph reconstruction and quantum statistical mechanics, Journal of Geometry and Physics, Volume 72, October 2013, Pages 110-117, ISSN 0393-0440, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41197
Deposited By: Ruth Sustaita
Deposited On:09 Sep 2013 22:53
Last Modified:10 Nov 2021 04:27

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