Geodesic
On Skew Laplacian Spectra and Skew Laplacian Energy of Digraphs
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 1, p. 87

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Let $\mathscr{D}$ be a simple digraph with $n$ vertices, $m$ arcs having skew Laplacian eigenvalues $\nu_1, \nu_2, …, \nu_{n-1},\nu_n=0$. The skew Laplacian energy $SLE(\mathscr{D})$ of a digraph $\mathscr{D}$ is defined as $SLE(\mathscr{D})=\sum_{i=1}^{n}|\nu_i|$. We obtain upper and lower bounds for $SLE(\mathscr{D})$, which improves some previously known bounds. We also show that every even positive integer is indeed the skew Laplacian energy of some digraph.
Classification : 05C50, 05C30
Keywords: Digraphs, skew Laplacian matrix, skew Laplacian spectrum, skew Laplacian energy 
@article{KJM_2019_43_1_a7,
     author = {Hilal Ganie and Bilal Chat and S. Pirzada},
     title = {On {Skew} {Laplacian} {Spectra} and {Skew} {Laplacian} {Energy} of {Digraphs}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {87 },
     publisher = {mathdoc},
     volume = {43},
     number = {1},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2019_43_1_a7/}
}
TY  - JOUR
AU  - Hilal Ganie
AU  - Bilal Chat
AU  - S. Pirzada
TI  - On Skew Laplacian Spectra and Skew Laplacian Energy of Digraphs
JO  - Kragujevac Journal of Mathematics
PY  - 2019
SP  - 87 
VL  - 43
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2019_43_1_a7/
LA  - en
ID  - KJM_2019_43_1_a7
ER  - 
%0 Journal Article
%A Hilal Ganie
%A Bilal Chat
%A S. Pirzada
%T On Skew Laplacian Spectra and Skew Laplacian Energy of Digraphs
%J Kragujevac Journal of Mathematics
%D 2019
%P 87 
%V 43
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2019_43_1_a7/
%G en
%F KJM_2019_43_1_a7
Hilal Ganie; Bilal Chat; S. Pirzada. On Skew Laplacian Spectra and Skew Laplacian Energy of Digraphs. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 1, p. 87 . http://geodesic.mathdoc.fr/item/KJM_2019_43_1_a7/