TY - JOUR
T1 - On distance Laplacian and distance signless Laplacian eigenvalues of graphs
AU - Das, Kinkar Ch
AU - Aouchiche, Mustapha
AU - Hansen, Pierre
N1 - Publisher Copyright:
© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2019/11/2
Y1 - 2019/11/2
N2 - Let D(G),DL(G) = Diag(Tr) − D(G) and DQ(G) = Diag(Tr) + D(G) be, respectively, the distance matrix, the distance Laplacian matrix and the distance signless Laplacian matrix of graph G, where Diag(Tr) denotes the diagonal matrix of the vertex transmissions in G. The eigenvalues of of DL(G) andDQ(G) will be denoted by (Formula presented.) and (Formula presented.), respectively. In this paper, we study the properties of the distance Laplacian eigenvalues and the distance signless Laplacian eigenvalues of graph G.
AB - Let D(G),DL(G) = Diag(Tr) − D(G) and DQ(G) = Diag(Tr) + D(G) be, respectively, the distance matrix, the distance Laplacian matrix and the distance signless Laplacian matrix of graph G, where Diag(Tr) denotes the diagonal matrix of the vertex transmissions in G. The eigenvalues of of DL(G) andDQ(G) will be denoted by (Formula presented.) and (Formula presented.), respectively. In this paper, we study the properties of the distance Laplacian eigenvalues and the distance signless Laplacian eigenvalues of graph G.
KW - 05C05
KW - Distance Laplacian eigenvalues
KW - diameter
KW - distance signless Laplacian eigenvalues
KW - domination number
KW - independence number
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U2 - 10.1080/03081087.2018.1491522
DO - 10.1080/03081087.2018.1491522
M3 - Article
AN - SCOPUS:85049634232
SN - 0308-1087
VL - 67
SP - 2307
EP - 2324
JO - Linear and Multilinear Algebra
JF - Linear and Multilinear Algebra
IS - 11
ER -