Graph reconstruction and quantum statistical mechanics

G.L.M. Cornelissen; M. Marcolli

doi:10.1016/j.geomphys.2013.03.021

Graph reconstruction and quantum statistical mechanics

G.L.M. Cornelissen, M. Marcolli

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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.

Original language	English
Pages (from-to)	110-117
Number of pages	8
Journal	Journal of Geometry and Physics
Volume	72
DOIs	https://doi.org/10.1016/j.geomphys.2013.03.021
Publication status	Published - 2013

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title = "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.",

author = "G.L.M. Cornelissen and M. Marcolli",

year = "2013",

doi = "10.1016/j.geomphys.2013.03.021",

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AU - Cornelissen, G.L.M.

AU - Marcolli, M.

PY - 2013

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AB - 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.

U2 - 10.1016/j.geomphys.2013.03.021

DO - 10.1016/j.geomphys.2013.03.021

M3 - Article

SN - 0393-0440

VL - 72

SP - 110

EP - 117

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

Graph reconstruction and quantum statistical mechanics

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