Skewed converse and Laplacian spectral radius of weighted directed graphs

Debajit Kalita ()
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Debajit Kalita: Tezpur University

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 4, 1145-1153

Abstract: Abstract The notion of skewed converse of a weighted directed graph is introduced in this article. Several characterizations of singularity of the skewed converse of the weighted directed graphs are provided here. This article provides some upper bounds and lower bounds on the Laplacian spectral radius of weighted directed graphs. Characterizations of the weighted directed graphs that achieve these bounds are also supplied here.

Keywords: Laplacian matrix; Mixed graph; Skewed converse; Spectral radius; Weighted directed graph; 05C50; 05C05; 15A18 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00026-7

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