New lower bounds on χ(R^d) for d=8 … 12

2014/09/03 by Matthew Kahle, Kahle, Matthew, Birra Taha +1
Engineering · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Metric Geometry (math.MG) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1409.1278

openalex publication_date 2014/09/03 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We improve the best lower bounds on the chromatic number of Euclidean space in small dimensions. The new results depend on extensive computations in Sage.

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