On the least signless Laplacian eigenvalue of a non-bipartite connected graph with fixed maximum degree

Abstract In this paper, we determine the unique graph whose least signless Laplacian eigenvalue attains the minimum among all non-bipartite unicyclic graphs of order n with maximum degree Δ and among all non-bipartite connected graphs of order n with maximum degree Δ, respectively.

Bibliographic Details
Main Authors: Shu-Guang Guo, Rong Zhang
Format: Article
Language:English
Published: Springer 2017-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1395-y