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

[摘要] 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.

[关键词] colored graph theory;random tensors;quantum gravity