Bounds for the skew Laplacian (skew adjacency) spectral radius of a digraph
عنوان مقاله: Bounds for the skew Laplacian (skew adjacency) spectral radius of a digraph
شناسه ملی مقاله: JR_COMB-8-2_001
منتشر شده در در سال 1398
شناسه ملی مقاله: JR_COMB-8-2_001
منتشر شده در در سال 1398
مشخصات نویسندگان مقاله:
Hilal A. Ganie - Gonipora Karahama
خلاصه مقاله:
Hilal A. Ganie - Gonipora Karahama
For a simple connected graph $G$ with $n$ vertices and $m$ edges, let $\overrightarrow{G}$ be a digraph obtained by giving an arbitrary direction to the edges of $G$. In this paper, we consider the skew Laplacian/skew adjacency matrix of the digraph $\overrightarrow{G}$. We obtain upper bounds for the skew Laplacian/skew adjacency spectral radius, in terms of various parameters (like oriented degree, average oriented degree) associated with the structure of the digraph $\overrightarrow{G}$. We also obtain upper and lower bounds for the skew Laplacian/skew adjacency spectral radius, in terms of skew Laplacian/skew adjacency rank of the digraph $\overrightarrow{G}$.
کلمات کلیدی: Digraph, skew Laplacian matrix, skew Laplacian spectrum, skew Laplacian spectral radius
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1194866/