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

Authors :
Guo, Shu-Guang
Zhang, Rong
Source :
Journal of Inequalities & Applications. 5/22/2017, Vol. 2017 Issue 1, p1-10. 10p.
Publication Year :
2017

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10255834
Volume :
2017
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
123191362
Full Text :
https://doi.org/10.1186/s13660-017-1395-y