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

Authors :
Ryan, James P.
Source :
SIGMA 12 (2016), 076, 27 pages
Publication Year :
2016

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.

Details

Database :
arXiv
Journal :
SIGMA 12 (2016), 076, 27 pages
Publication Type :
Report
Accession number :
edsarx.1603.07220
Document Type :
Working Paper
Full Text :
https://doi.org/10.3842/SIGMA.2016.076