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Published October 2013 | Submitted
Journal Article Open

Graph reconstruction and quantum statistical mechanics

Abstract

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.

Additional Information

© 2013 Elsevier B.V. Received 26 September 2012. Received in revised form 27 December 2012. Available online 29 March 2013.

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August 22, 2023
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