The Lemmens-Seidel conjecture and forbidden subgraphs

preprint2020arXivOpen access

Abstract

In this paper we show that the conjecture of Lemmens and Seidel of 1973 for systems of equiangular lines with common angle arccos⁡(1/5)\arccos (1/5) is true. Our main tool is forbidden subgraphs for smallest Seidel eigenvalue −5-5.

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