- Tytuł:
- Some Properties of the Eigenvalues of the Net Laplacian Matrix of a Signed Graph
- Autorzy:
- Stanić, Zoran
- Tematy:
-
(net) Laplacian matrix
edge perturbations
largest eigenvalue
net-degree - Pokaż więcej
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Powiązania:
- https://bibliotekanauki.pl/articles/32304147.pdf Link otwiera się w nowym oknie
- Opis:
- Given a signed graph $ \dot{G} $, let $ A_{ \dot{G} } $ and $ D_{\dot{G}}^\pm $ denote its standard adjacency matrix and the diagonal matrix of vertex net-degrees, respectively. The net Laplacian matrix of $ \dot{G} $ is defined to be $ N_{ \dot{G} } = D_{\dot{G}}^\pm - A_{ \dot{G} } $. In this study we give some properties of the eigenvalues of $ N_{ \dot{G} } $. In particular, we consider their behaviour under some edge perturbations, establish some relations between them and the eigenvalues of the standard Laplacian matrix and give some lower and upper bounds for the largest eigenvalue of $ N_{ \dot{G} } $.
- Dostawca treści:
- Biblioteka Nauki
Artykuł