TY - JOUR
ID - 1954
TI - NEW BOUNDS AND EXTREMAL GRAPHS FOR DISTANCE SIGNLESS LAPLACIAN SPECTRAL RADIUS
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Alhevaz, A.
AU - Baghipur, M.
AU - Paul, S.
AD - Faculty of Mathematical Sciences, Shahrood University of Technology, P.O. Box:
316-3619995161, Shahrood, Iran.
AD - Department of Mathematics, University of Hormozgan, P.O. Box 3995, Bandar
Abbas, Iran.
AD - Department of Applied Sciences, Tezpur University, Tezpur-784028, India.
Y1 - 2021
PY - 2021
VL - 8
IS - 2
SP - 231
EP - 250
KW - â€ŽDistance signless Laplacian matrix
KW - spectral radius
KW - extremal graph
KW - transmission regular graph
DO - 10.22044/jas.2020.9540.1469
N2 - 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 paper, we determine some new upper and lower bounds on the distance signless Laplacian spectral radius of $G$ and characterize the extremal graphs attaining these bounds.
UR - https://jas.shahroodut.ac.ir/article_1954.html
L1 - https://jas.shahroodut.ac.ir/article_1954_3d76b11a1deafa958368655d5c44160b.pdf
ER -