Main eigenvalues of real symmetric matrices with application to signed graphs

Zoran Stanić

Czechoslovak Mathematical Journal (2020)

  • Volume: 70, Issue: 4, page 1091-1102
  • ISSN: 0011-4642

Abstract

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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 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.

How to cite

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Stanić, Zoran. "Main eigenvalues of real symmetric matrices with application to signed graphs." Czechoslovak Mathematical Journal 70.4 (2020): 1091-1102. <http://eudml.org/doc/296986>.

@article{Stanić2020,
abstract = {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.},
author = {Stanić, Zoran},
journal = {Czechoslovak Mathematical Journal},
keywords = {main angle; signed graph; adjacency matrix; Laplacian matrix; Gram matrix},
language = {eng},
number = {4},
pages = {1091-1102},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Main eigenvalues of real symmetric matrices with application to signed graphs},
url = {http://eudml.org/doc/296986},
volume = {70},
year = {2020},
}

TY - JOUR
AU - Stanić, Zoran
TI - Main eigenvalues of real symmetric matrices with application to signed graphs
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 4
SP - 1091
EP - 1102
AB - 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.
LA - eng
KW - main angle; signed graph; adjacency matrix; Laplacian matrix; Gram matrix
UR - http://eudml.org/doc/296986
ER -

References

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