Inequalities for Distance Signless Laplacian Matrix Under Minimum‐Degree Constraints
For a connected graph G of order n, let D(G) denote its distance matrix and let Tr(G) be the diagonal matrix formed by the vertex transmissions. The distance signless Laplacian of G is defined by DQ = D(G) + Tr(G). The largest eigenvalue of DQ, written as ∂1QG, is referred to as the distance signless Laplacian spectral radius of G.
Mohd Abrar Ul Haq +3 more
wiley +1 more source
Computing the reciprocal distance signless Laplacian eigenvalues and energy of graphs
Summary: In this paper, we study the eigenvalues of the reciprocal distance signless Laplacian matrix of a connected graph and obtain some bounds for the maximum eigenvalue of this matrix. We also focus on bipartite graphs and find some bounds for the spectral radius of the reciprocal distance signless Laplacian matrix of this class of graphs. Moreover,
A. Alhevaz, M. Baghipur, H.S. Ramane
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This study investigates the spectral and topological properties of rounded knot networks K2n, a helical extension of phenylene quadrilateral structures, through signless Laplacian spectral analysis. Motivated by the need to understand how helical topology influences network dynamics and robustness, we derive exact analytical expressions for three key ...
Fareeha Hanif +3 more
wiley +1 more source
Distance Spectra of Some Double Join Operations of Graphs
In literature, several types of join operations of two graphs based on subdivision graph, Q‐graph, R‐graph, and total graph have been introduced, and their spectral properties have been studied. In this paper, we introduce a new double join operation based on (H1, H2)‐merged subdivision graph.
B. J. Manjunatha +4 more
wiley +1 more source
On the eigenvalues of the distance signless Laplacian matrix of graphs
Let G be a connected graph and let DQ(G) be the distance signless Laplacian matrix of G with eigenvalues ρ1≥ ρ2≥…≥ ρn. The spread of the matrix DQ}(G) is defined as s(DQ(G)) := maxi,j| ρi-ρj| = ρ1- ρn. We derive new bounds for the distance signless Laplacian spectral radius ρ1 of G.
Akbar Jahanbani +3 more
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Quantitative structure-properties relationship analysis of Eigen-value-based indices using COVID-19 drugs structure. [PDF]
Rauf A, Naeem M, Hanif A.
europepmc +1 more source
Eigenvalue-based entropy in directed complex networks. [PDF]
Sun Y, Zhao H, Liang J, Ma X.
europepmc +1 more source
Albertson (Alb) spectral radii and Albertson (Alb) energies of graph operation. [PDF]
Munir MM, Wusqa UT.
europepmc +1 more source
Predictive modeling for physicochemical properties of β-lactam antibiotics through eigenvalue based topological indices and non linear regression techniques. [PDF]
Yuvaraj A +4 more
europepmc +1 more source
Intuitionistic fuzzy approach based on correlation coefficient and signless Laplacian energy with applications. [PDF]
Atheeque AM, Basha SS.
europepmc +1 more source

