On equiangular lines in $17$ dimensions and the characteristic polynomial of a Seidel matrix

DOI10.1090/mcom/3433zbMath1416.05060arXiv1806.08323OpenAlexW2951524228MaRDI QIDQ5226670

Pavlo Yatsyna, Gary R. W. Greaves

Publication date: 1 August 2019

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.08323

zbMATH Keywords

underlying graph

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Eulerian and Hamiltonian graphs (05C45) Combinatorial aspects of packing and covering (05B40)

Related Items (11)

Equiangular lines in Euclidean spaces: Dimensions 17 and 18 ⋮ The change of Seidel energy of tripartite Turán graph due to edge deletion ⋮ \(k\)-point semidefinite programming bounds for equiangular lines ⋮ Saturated configuration and new large construction of equiangular lines ⋮ Real equiangular lines in dimension 18 and the Jacobi identity for complementary subgraphs ⋮ Hermitian matrices of roots of unity and their characteristic polynomials ⋮ The Lemmens-Seidel conjecture and forbidden subgraphs ⋮ Equiangular lines and the Lemmens-Seidel conjecture ⋮ New Upper Bounds for Equiangular Lines by Pillar Decomposition ⋮ Equiangular lines in low dimensional Euclidean spaces ⋮ Spectral Proofs of Maximality of Some Seidel Matrices

Uses Software

• SageMath

Cites Work

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