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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 076, 27 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.076 (Mi sigma1158) 		 
This article is cited in 5 scientific papers (total in 5 papers)

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

James P. Ryan

Institute for Mathematics, Astrophysics and Particle Physics, Radboud University, Nijmegen, The Netherlands
Full-text PDF (714 kB) Citations (5)
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DOI: https://doi.org/10.3842/SIGMA.2016.076
Abstract: 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.
Keywords: colored graph theory; random tensors; quantum gravity.
Received: March 18, 2016; in final form July 25, 2016; Published online August 2, 2016
Bibliographic databases:
Document Type: Article
MSC: 60C05; 81Q35; 81T17; 83C27
Language: English
Citation: James P. Ryan, “$(D+1)$-Colored Graphs – a Review of Sundry Properties”, SIGMA, 12 (2016), 076, 27 pp.
Citation in format AMSBIB
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\by James~P.~Ryan
\paper $(D+1)$-Colored Graphs -- a Review of Sundry Properties
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\papernumber 076
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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