Sharp Upper Bounds on the Signless Laplacian Spectral Radius of Strongly Connected Digraphs
Let G = (V (G),E(G)) be a simple strongly connected digraph and q(G) be the signless Laplacian spectral radius of G. For any vertex vi ∈ V (G), let d+i denote the outdegree of vi, m+i denote the average 2-outdegree of vi, and N+i denote the set of out-neighbors of vi. In this paper, we prove that:
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Sciendo
2016-11-01
|
Series: | Discussiones Mathematicae Graph Theory |
Subjects: | |
Online Access: | https://doi.org/10.7151/dmgt.1915 |