Geodesic
Main eigenvalues of real symmetric matrices with application to signed graphs
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 1091-1102.

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An eigenvalue of a real symmetric matrix is called main if there is an associated eigenvector not orthogonal to the all-1 vector ${\bf j}$. Main eigenvalues are frequently considered in the framework of simple undirected graphs. In this study we generalize some results and then apply them to signed graphs.
DOI : 10.21136/CMJ.2020.0147-19
Classification : 05C22, 05C50
Keywords: main angle; signed graph; adjacency matrix; Laplacian matrix; Gram matrix 
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     title = {Main eigenvalues of real symmetric matrices with application to signed graphs},
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     pages = {1091--1102},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0147-19/}
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Stanić, Zoran. Main eigenvalues of real symmetric matrices with application to signed graphs. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 1091-1102. doi : 10.21136/CMJ.2020.0147-19. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0147-19/

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