Results 41 to 50 of about 6,799 (133)
On the Signless Laplacian ABC-Spectral Properties of a Graph
MathematicsIn the paper, we introduce the signless Laplacian ABC-matrix Q̃(G)=D¯(G)+Ã(G), where D¯(G) is the diagonal matrix of ABC-degrees and Ã(G) is the ABC-matrix of G. The eigenvalues of the matrix Q̃(G) are the signless Laplacian ABC-eigenvalues of G. We give
B. Rather, H. A. Ganie, Y. Shang
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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.
M. Romdhini +2 more
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Common neighborhood (signless) Laplacian spectrum and energy of CCC-graph
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, R. K. Nath
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Novel Concept of Energy in Bipolar Single-Valued Neutrosophic Graphs with Applications
Axioms, 2021 The energy of a graph is defined as the sum of the absolute values of its eigenvalues. Recently, there has been a lot of interest in graph energy research.
Siti Nurul Fitriah Mohamad +3 more
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On the signless Laplacian energy and signless Laplacian Estrada index of extremal graphs
Applied Mathematical Sciences, 2014 R. Binthiya, P. B. Sarasija
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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 \(G\).
Alhevaz, Abdolla +2 more
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New Bounds for the Generalized Distance Spectral Radius/Energy of Graphs
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 Let G be a simple connected graph with vertex set V(G) = {v1, v2, …, vn} and dvi be the degree of the vertex vi. Let D(G) be the distance matrix and Tr(G) be the diagonal matrix of the vertex transmissions of G. The generalized distance matrix of G is defined as Dα(G) = αTr(G) + (1 − α)D(G), where 0 ≤ α ≤ 1. If λ1, λ2, …, λn are the eigenvalues of Dα(G)
Yuzheng Ma +3 more
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On Laplacian Equienergetic Signed Graphs
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 The Laplacian energy of a signed graph is defined as the sum of the distance of its Laplacian eigenvalues from its average degree. Two signed graphs of the same order are said to be Laplacian equienergetic if their Laplacian energies are equal. In this paper, we present several infinite families of Laplacian equienergetic signed graphs.
Qingyun Tao, Lixin Tao, Yongqiang Fu
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Hamilton Connectivity of Convex Polytopes with Applications to Their Detour Index
Complexity, Volume 2021, Issue 1, 2021., 2021 A connected graph is called Hamilton‐connected if there exists a Hamiltonian path between any pair of its vertices. Determining whether a graph is Hamilton‐connected is an NP‐complete problem. Hamiltonian and Hamilton‐connected graphs have diverse applications in computer science and electrical engineering.
Sakander Hayat +4 more
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Laplacian and signless laplacian spectra and energies of multi-step wheels
Mathematical Biosciences and Engineering, 2020 <abstract> <p>Energies and spectrum of graphs associated to different linear operators play a significant role in molecular chemistry, polymerisation, pharmacy, computer networking and communication systems. In current article, we compute closed forms of signless Laplacian and Laplacian spectra and energies of multi-step wheel networks < ...
Zheng-Qing Chu +4 more
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