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The Laplacian and signless Laplacian energy of a graph under perturbation [PDF]
AIP Conference Proceedings, 2020 In this paper, we find energy, Laplacian energy and signless Laplacian energy of a complete graph when perturbed by adding some vertices and edges.
E. Nandakumar +2 more
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Some bounds for distance signless Laplacian energy-like invariant of networks
Carpathian Mathematical PublicationsFor a graph or network $G$, denote by $D(G)$ the distance matrix and $Tr(G)$ the diagonal matrix of vertex transmissions. The distance signless Laplacian matrix of $G$ is $D^{Q}(G)=Tr(G)+D(G)$.
Abdollah Alhevaz +3 more
semanticscholar +4 more sources
Signless Laplacian Energy of Operations on Intuitionistic Fuzzy Graphs
International Journal of Engineering & Technology, 2018 After determining the Signless Laplacian energy of an Intuitionistic fuzzy graphs and the study of lower and upper boundaries of Signless Laplacian energy of an Intuitionistic fuzzy graphs, then we planned to search Signless Laplacian energy of an ...
Obbu Ramesh +2 more
semanticscholar +4 more sources
Minimum covering reciprocal distance signless Laplacian energy of graphs
Acta Universitatis Sapientiae, Informatica, 2018 Let G be a simple connected graph. The reciprocal transmission Tr′G(ν) of a vertex ν is defined as TrG′(ν)=∑u∈V(G)1dG(u,ν), u≠ν. $${\rm{Tr}}_{\rm{G}}^\prime ({\rm{\nu }}) = \sum\limits_{{\rm{u}} \in {\rm{V}}(G)} {{1 \over {{{\rm{d}}_{\rm{G}}}(u,
Abdollah Alhevaz +3 more
semanticscholar +4 more sources
Maximality of the signless Laplacian energy
Discrete Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lucélia Kowalski Pinheiro +1 more
semanticscholar +4 more sources
Common neighborhood (signless) Laplacian spectrum and energy of CCC-graph [PDF]
Boletim da Sociedade Paranaense de MatemáticaIn this paper, we consider commuting conjugacy class graph (abbreviated as CCC-graph) of a finite group $G$ which is a graph with vertex set $\{x^G : x \in G \setminus Z(G)\}$ (where $x^G$ denotes the conjugacy class containing $x$) and two distinct ...
Firdous Ee Jannat, Rajat Kanti Nath
semanticscholar +6 more sources
Seidel Laplacian and Seidel Signless Laplacian Energies of Commuting Graph for Dihedral Groups
Malaysian Journal of Fundamental and Applied SciencesIn this paper, we discuss the energy of the commuting graph. The vertex set of the graph is dihedral groups and the edges between two distinct vertices represent the commutativity of the group elements.
Mamika Ujianita Romdhini +2 more
semanticscholar +4 more sources
On the Energy and Spread of the Adjacency, Laplacian and Signless Laplacian Matrices of Graphs [PDF]
Match Communications in Mathematical and in Computer ChemistryIn this paper, we explore the connection between the energy and spread of the adjacency, Laplacian, and signless Laplacian matrices for graphs. We then introduce new limitations for the energy and spread of these matrices, based on previous research and ...
Kinkar Chandra Das +2 more
semanticscholar +3 more sources
(Generalized) Incidence and Laplacian-Like Energies
Journal 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
On Distance Signless Laplacian Estrada Index and Energy of Graphs [PDF]
Kragujevac Journal of Mathematics, 2021 Summary: For a connected graph \(G\), the distance signless Laplacian matrix is defined as \(D^Q(G)=\mathrm{Tr}(G)+D(G)\), where \(D(G)\) is the distance matrix of \(G\) and \(\mathrm{Tr}(G)\) is the diagonal matrix of vertex transmissions of \(G\).
Abdollah Alhevaz +2 more
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