33 citations · 92 across the 23 of their papers we have counts for
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math.CO2021
Equiangular lines in Euclidean spaces: dimensions 17 and 18
Gary R. W. Greaves, Jeven Syatriadi, Pavlo Yatsyna
We show that the maximum cardinality of an equiangular line system in 17 dimensions is 48, thereby solving a longstanding open problem. Furthermore, by giving an explicit construct…
math.CO2020
Equiangular lines in low dimensional Euclidean spaces
Gary R. W. Greaves, Jeven Syatriadi, Pavlo Yatsyna
We show that the maximum cardinality of an equiangular line system in 14 and 16 dimensions is 28 and 40, respectively, thereby solving a longstanding open problem. We also improve…
math.CO2018★ 20 cited
On equiangular lines in 17 dimensions and the characteristic polynomial of a Seidel matrix
Gary R. W. Greaves, Pavlo Yatsyna
For a positive integer, we find restrictions modulo on the coefficients of the characteristic polynomial of a Seidel matrix . We show that, for a Seidel matri…