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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Author: Ryan, J.P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147838
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: (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.

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...