Results 11 to 20 of about 6,799 (133)

Spectral Properties of the Harary Signless Laplacian and Harary Incidence Energy

open access: yesMathematics
Let X be a partitioned matrix and let B its equitable quotient matrix. Consider a simple, undirected, connected graph G of order n. In this paper, we employ a technique based on quotient matrices derived from block-partitioned structures to establish new
Luis Medina   +2 more
semanticscholar   +4 more sources

Signless Laplacian energy, distance Laplacian energy and distance signless Laplacian spectrum of unitary addition Cayley graphs [PDF]

open access: yesLinear and Multilinear Algebra, 2021
In this paper we compute bounds for signless Laplacian energy, distance signless Laplacian eigenvalues and signless Laplacian energy of unitary addition Cayley graph $ G_{n} $ Gn.
P. Naveen, A. Chithra
semanticscholar   +4 more sources

On graphs with minimal distance signless Laplacian energy [PDF]

open access: yesActa Universitatis Sapientiae, Mathematica, 2021
For a simple connected graph G of order n having distance signless Laplacian eigenvalues ρ1Q≥ρ2Q≥⋯≥ρnQ \rho _1^Q \ge \rho _2^Q \ge \cdots \ge \rho _n^Q , the distance signless Laplacian energy DSLE(G) is defined as DSLE(G)=∑i=1n| ρiQ-2W(G)n | DSLE\left ...
S. Pirzada   +3 more
semanticscholar   +4 more sources

Applications on color (distance) signless laplacian energy of annihilator monic prime graph of commutative rings

open access: yesAin Shams Engineering Journal, 2023
In this study, we define the structure formation of the annihilator monic prime graph of commutative rings, whose distinct vertices X and J satisfies a condition annXJ≠annX⋃ann(J), graph is denoted by AMPG(Zn[x]/〈fx〉).
R. Sarathy, J. Ravi Sankar
semanticscholar   +3 more sources

On Zagreb index, signless Laplacian eigenvalues and signless Laplacian energy of a graph

open access: yesComputational and Applied Mathematics, 2022
Let G be a simple graph with order n and size m . The quantity $$M_1(G)=\sum _{i=1}^{n}d^2_{v_i}$$ M 1 ( G ) = ∑ i = 1 n d v i 2 is called the first Zagreb index of G , where $$d_{v_i}$$ d v i is the degree of vertex $$v_i$$ v i , for all $$i=1,2,\dots ...
S. Pirzada, Saleem Khan
semanticscholar   +3 more sources

(Generalized) Incidence and Laplacian-Like Energies

open access: yesJournal of Mathematics, 2023
In this study, for graph Γ with r connected components (also for connected nonbipartite and connected bipartite graphs) and a real number ε≠0,1, we found generalized and improved bounds for the sum of ε-th powers of Laplacian and signless Laplacian ...
A. Dilek Maden, Mohammad Tariq Rahim
doaj   +2 more sources

Sharp Bounds on (Generalized) Distance Energy of Graphs [PDF]

open access: yesMathematics, 2020
Given a simple connected graph G, let D(G) be the distance matrix, DL(G) be the distance Laplacian matrix, DQ(G) be the distance signless Laplacian matrix, and Tr(G) be the vertex transmission diagonal matrix of G.
Alhevaz, Abdollah   +3 more
core   +3 more sources

On the signless Laplacian energy of a digraph

open access: yesIndian Journal of Pure and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. A. Ganie
semanticscholar   +3 more sources

Some Chemistry Indices of Clique-Inserted Graph of a Strongly Regular Graph

open access: yesComplexity, 2021
In this paper, we give the relation between the spectrum of strongly regular graph and its clique-inserted graph. The Laplacian spectrum and the signless Laplacian spectrum of clique-inserted graph of strongly regular graph are calculated.
Chun-Li Kan   +3 more
doaj   +2 more sources

Signless Laplacian Energy of Interval-Valued Fuzzy Graph and its Applications

open access: yesSains Malaysiana, 2023
An interval-valued fuzzy graph (IVFG) emanates from a fuzzy graph (FG) where the membership is given in interval form. This framework give the user more flexibility in dealing with fuzzy information.
M. Romdhini   +4 more
semanticscholar   +2 more sources

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