The Minimum Spectral Radius of Signless Laplacian of Graphs with a Given Clique Number

Li Su, Hong-Hai Li, and Jing Zhang. "The Minimum Spectral Radius of Signless Laplacian of Graphs with a Given Clique Number." Discussiones Mathematicae Graph Theory 34.1 (2014): 95-102. <http://eudml.org/doc/268308>.

@article{LiSu2014,
abstract = {In this paper we observe that the minimal signless Laplacian spectral radius is obtained uniquely at the kite graph PKn−ω,ω among all connected graphs with n vertices and clique number ω. In addition, we show that the spectral radius μ of PKm,ω (m ≥ 1) satisfies [...] More precisely, for m > 1, μ satisfies the equation [...] where [...] and [...] . At last the spectral radius μ(PK∞,ω) of the infinite graph PK∞,ω is also discussed.},
author = {Li Su, Hong-Hai Li, Jing Zhang},
journal = {Discussiones Mathematicae Graph Theory},
keywords = {clique number; kite graph; signless Laplacian; spectral radius},
language = {eng},
number = {1},
pages = {95-102},
title = {The Minimum Spectral Radius of Signless Laplacian of Graphs with a Given Clique Number},
url = {http://eudml.org/doc/268308},
volume = {34},
year = {2014},
}

TY - JOUR
AU - Li Su
AU - Hong-Hai Li
AU - Jing Zhang
TI - The Minimum Spectral Radius of Signless Laplacian of Graphs with a Given Clique Number
JO - Discussiones Mathematicae Graph Theory
PY - 2014
VL - 34
IS - 1
SP - 95
EP - 102
AB - In this paper we observe that the minimal signless Laplacian spectral radius is obtained uniquely at the kite graph PKn−ω,ω among all connected graphs with n vertices and clique number ω. In addition, we show that the spectral radius μ of PKm,ω (m ≥ 1) satisfies [...] More precisely, for m > 1, μ satisfies the equation [...] where [...] and [...] . At last the spectral radius μ(PK∞,ω) of the infinite graph PK∞,ω is also discussed.
LA - eng
KW - clique number; kite graph; signless Laplacian; spectral radius
UR - http://eudml.org/doc/268308
ER -