scholarly journals Euler-Seidel matrices over F_p

2014 ◽  
Vol 38 ◽  
pp. 16-24 ◽  
Author(s):  
Nesrin TUTAŞ
Keyword(s):  
Seidel Matrices

scholarly journals Maximality of Seidel matrices and switching roots of graphs

2021 ◽  
Author(s):  
Meng-Yue Cao ◽  
Jack H. Koolen ◽  
Akihiro Munemasa ◽  
Kiyoto Yoshino
Keyword(s):  
Seidel Matrices

scholarly journals Equiangular tight frames and fourth root seidel matrices

2010 ◽  
Vol 432 (11) ◽  
pp. 2816-2823 ◽  
Author(s):  
David M. Duncan ◽  
Thomas R. Hoffman ◽  
James P. Solazzo
Keyword(s):  
Tight Frames ◽  
Equiangular Tight Frames ◽  
Seidel Matrices ◽  
Fourth Root

scholarly journals On a question of Haemers regarding vectors in the nullspace of Seidel matrices

2021 ◽  
Vol 615 ◽  
pp. 194-206
Author(s):  
S. Akbari ◽  
S.M. Cioabă ◽  
S. Goudarzi ◽  
A. Niaparast ◽  
A. Tajdini
Keyword(s):  
Seidel Matrices

scholarly journals Enumeration of Seidel matrices

2018 ◽  
Vol 69 ◽  
pp. 169-184 ◽  
Author(s):  
Ferenc Szöllősi ◽  
Patric R.J. Östergård
Keyword(s):  
Seidel Matrices

scholarly journals Equiangular tight frames from complex Seidel matrices containing cube roots of unity

2009 ◽  
Vol 430 (1) ◽  
pp. 396-417 ◽  
Author(s):  
Bernhard G. Bodmann ◽  
Vern I. Paulsen ◽  
Mark Tomforde
Keyword(s):  
Roots Of Unity ◽  
Tight Frames ◽  
Equiangular Tight Frames ◽  
Seidel Matrices

scholarly journals Spectral symmetry in conference matrices

2021 ◽  
Author(s):  
Willem H. Haemers ◽  
Leila Parsaei Majd
Keyword(s):  
Signed Graphs ◽  
Adjacency Matrices ◽  
Seidel Matrices ◽  
Principal Submatrices ◽  
Symmetric Spectrum

AbstractA conference matrix of order n is an $$n\times n$$ n × n matrix C with diagonal entries 0 and off-diagonal entries $$\pm 1$$ ± 1 satisfying $$CC^\top =(n-1)I$$ C C ⊤ = ( n - 1 ) I . If C is symmetric, then C has a symmetric spectrum $$\Sigma $$ Σ (that is, $$\Sigma =-\Sigma $$ Σ = - Σ ) and eigenvalues $$\pm \sqrt{n-1}$$ ± n - 1 . We show that many principal submatrices of C also have symmetric spectrum, which leads to examples of Seidel matrices of graphs (or, equivalently, adjacency matrices of complete signed graphs) with a symmetric spectrum. In addition, we show that some Seidel matrices with symmetric spectrum can be characterized by this construction.

scholarly journals Shifted Euler-Seidel matrices

2017 ◽  
Vol 18 (1) ◽  
pp. 173
Author(s):  
Ayhan Dil ◽  
Mirac Cetin Firengiz
Keyword(s):  
Seidel Matrices
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