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Bounds for the skew Laplacian (skew adjacency) spectral radius of a digraph | ||
Transactions on Combinatorics | ||
مقاله 1، دوره 8، شماره 2، شهریور 2019، صفحه 1-12 اصل مقاله (291.41 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22108/toc.2019.112589.1582 | ||
نویسنده | ||
Hilal A. Ganie* | ||
Gonipora Karahama | ||
چکیده | ||
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 $\overrightarrow{G}$. | ||
کلیدواژهها | ||
Digraph؛ skew Laplacian matrix؛ skew Laplacian spectrum؛ skew Laplacian spectral radius | ||
آمار تعداد مشاهده مقاله: 494 تعداد دریافت فایل اصل مقاله: 481 |