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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
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
Citation:
James P. Ryan, “$(D+1)$-Colored Graphs – a Review of Sundry Properties”, SIGMA, 12 (2016), 076, 27 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1158 https://www.mathnet.ru/eng/sigma/v12/p76
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