(D+1)-Colored Graphs - a Review of Sundry Properties

We review the combinatorial, topological, algebraic and metric properties supported by (D+1)-colored graphs, with a focus on those that are pertinent to the study of tensor model theories. We show how to extract a limiting continuum metric space from this set of graphs and detail properties of this...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2016
Main Author: Ryan, J.P.
Format: Article
Language:English
Published: Інститут математики НАН України 2016
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/147838
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:(D+1)-Colored Graphs - a Review of Sundry Properties / J.P. Ryan // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 31 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Ryan, J.P.
author_facet Ryan, J.P.
citation_txt (D+1)-Colored Graphs - a Review of Sundry Properties / J.P. Ryan // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 31 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description We review the combinatorial, topological, algebraic and metric properties supported by (D+1)-colored graphs, with a focus on those that are pertinent to the study of tensor model theories. We show how to extract a limiting continuum metric space from this set of graphs and detail properties of this limit through the calculation of exponents at criticality.
first_indexed 2025-12-07T15:18:21Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-07T15:18:21Z
publishDate 2016
publisher Інститут математики НАН України
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spelling Ryan, J.P.
2019-02-16T09:09:26Z
2019-02-16T09:09:26Z
2016
(D+1)-Colored Graphs - a Review of Sundry Properties / J.P. Ryan // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 31 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 60C05; 81Q35; 81T17; 83C27
DOI:10.3842/SIGMA.2016.076
https://nasplib.isofts.kiev.ua/handle/123456789/147838
We review the combinatorial, topological, algebraic and metric properties supported by (D+1)-colored graphs, with a focus on those that are pertinent to the study of tensor model theories. We show how to extract a limiting continuum metric space from this set of graphs and detail properties of this limit through the calculation of exponents at criticality.
This paper is a contribution to the Special Issue on Tensor Models, Formalism and Applications. The full
 collection is available at http://www.emis.de/journals/SIGMA/Tensor Models.html.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
(D+1)-Colored Graphs - a Review of Sundry Properties
Article
published earlier
spellingShingle (D+1)-Colored Graphs - a Review of Sundry Properties
Ryan, J.P.
title (D+1)-Colored Graphs - a Review of Sundry Properties
title_full (D+1)-Colored Graphs - a Review of Sundry Properties
title_fullStr (D+1)-Colored Graphs - a Review of Sundry Properties
title_full_unstemmed (D+1)-Colored Graphs - a Review of Sundry Properties
title_short (D+1)-Colored Graphs - a Review of Sundry Properties
title_sort (d+1)-colored graphs - a review of sundry properties
url https://nasplib.isofts.kiev.ua/handle/123456789/147838
work_keys_str_mv AT ryanjp d1coloredgraphsareviewofsundryproperties