(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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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2016
1. Verfasser: Ryan, J.P.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2016
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/147838
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:(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
id nasplib_isofts_kiev_ua-123456789-147838
record_format dspace
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title (D+1)-Colored Graphs - a Review of Sundry Properties
spellingShingle (D+1)-Colored Graphs - a Review of Sundry Properties
Ryan, J.P.
title_short (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_sort (d+1)-colored graphs - a review of sundry properties
author Ryan, J.P.
author_facet Ryan, J.P.
publishDate 2016
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
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.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/147838
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.
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