| Autor: |
Alhevaz, Abdollah, Baghipur, Maryam, Ganie, Hilal Ahmad, Gui-Xian Tian |
| Předmět: |
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| Zdroj: |
Tamkang Journal of Mathematics; Mar2021, Vol. 52 Issue 1, p69-89, 21p |
| Abstrakt: |
For a simple connected graphG, the convex linear combinations Dα(G) of Tr(G) and D(G) is defined as Dα(G) = αTr(G)+(1-α)D(G), 0 ≤ α ≤ 1. As D0(G) = D(G), 2D1/2 (G) = DQ(G), D1(G) = Tr(G) and Dα(G)-Dβ(G) = (α-β)DL(G), this matrix reduces to merging the distance spectral and distance signless Laplacian spectral theories. In this paper, we study the spectral properties of the generalized distance matrix Dα(G). We obtain some lower and upper bounds for the generalized distance spectral radius, involving different graph parameters and characterize the extremal graphs. Further, we obtain upper and lower bounds for the maximal and minimal entries of the p-norm normalized Perron vector corresponding to spectral radius ∂(G) of the generalized distance matrix Dα(G) and characterize the extremal graphs. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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