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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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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
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
\jour SIGMA
\yr 2016
\vol 12
\papernumber 076
\totalpages 27
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\crossref{https://doi.org/10.3842/SIGMA.2016.076}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84984827935}
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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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    Abstract page:157
    Full-text PDF :31
    References:30
     
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