2017/06/30 by María Rita Casali, Maria Rita Casali, Paola Cristofori +1 · 18 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Artificial intelligence #Black Holes and Theoretical Physics #Class (philosophy) #Combinatorics #Computer science #Degree (music) #Dimension (graph theory) #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Topology (electrical circuits) #math-ph #math.GT #math.MP #msc:57M15 #msc:57N10 #msc:57Q15
paper · pdf · doi:10.1007/s13398-017-0456-x
published in Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas 112(3), 693-704 (Springer Science+Business Media) · 14 pages, 1 figure; improvements suggested by referees. Published online 24 October 2017 in RACSAM
openalex publication_date 2017/10/24 · arxiv created 2017/12/15 · arxiv updated 2017/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The G-degree of colored graphs is a key concept in the approach to Quantum Gravity via tensor models. The present paper studies the properties of the G-degree for the large class of graphs representing singular manifolds (including closed PL manifolds). In particular, the complete topological classification up to G-degree 6 is obtained in dimension 3, where all 4-colored graphs represent singular manifolds.