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This document presents a solution to the problem of determining the maximum number of equiangular lines in high-dimensional spaces, specifically focusing on a fixed angle. It establishes that for a given angle α, the maximum number of lines, denoted Nα(d), can be expressed in terms of a spectral graph theory result related to the adjacency matrix of a graph. The findings include specific formulas for Nα(d) based on the spectral radius order and provide new insights into the behavior of equiangular lines as

Author

Frank

Language

EN