Journal of Algebraic Systems

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NEW BOUNDS AND EXTREMAL GRAPHS FOR DISTANCE SIGNLESS LAPLACIAN SPECTRAL RADIUS

A. Alhevaz; M. Baghipur; S. Paul

Volume 8, Issue 2 , January 2021, , Pages 231-250

https://doi.org/10.22044/jas.2020.9540.1469

Abstract

The distance signless Laplacian spectral radius of a connected graph $G$ is the largest eigenvalue of the distance signless Laplacian matrix of $G$, defined as $D^{Q}(G)=Tr(G)+D(G)$, where $D(G)$ is the distance matrix of $G$ and $Tr(G)$ is the diagonal matrix of vertex transmissions of $G$. In this ... Read More