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Graph reconstruction and quantum statistical mechanics

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Publication date

2013

Authors

Cornelissen, G.L.M.ISNI 0000000387971274
Marcolli, M.

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DOI

https://doi.org/10.1016/j.geomphys.2013.03.021

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Article

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Utrecht University Repository

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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.

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Citation

Cornelissen, G L M & Marcolli, M 2013, 'Graph reconstruction and quantum statistical mechanics', Journal of Geometry and Physics, vol. 72, pp. 110-117. https://doi.org/10.1016/j.geomphys.2013.03.021

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https://dspace.library.uu.nl/handle/1874/290172