Results 31 to 40 of about 33,403 (178)
NEW BOUNDS AND EXTREMAL GRAPHS FOR DISTANCE SIGNLESS LAPLACIAN SPECTRAL RADIUS [PDF]
Journal of Algebraic Systems, 2021 The distance signless Laplacian spectral radius of a connected graph $G$ is the largest eigenvalue of the distance signless Laplacian matrix of $G$, defined as $D^{Q}(G)=Tr(G)+D(G)$, where $D(G)$ is the distance matrix of $G$ and $Tr(G)$ is the diagonal ...
A. Alhevaz, M. Baghipur, S. Paul
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Mathematics, 2021 Let G be a graph of order n. If the maximal connected subgraph of G has no cut vertex then it is called a block. If each block of graph G is a clique then G is called clique tree.
Shaowei Sun +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2022 If $Tr(G)$ and $D(G)$ are respectively the diagonal matrix of vertex transmission degrees and distance matrix of a connected graph $G$, the generalized distance matrix $D_{\alpha}(G)$ is defined as $D_{\alpha}(G)=\alpha ~Tr(G)+(1-\alpha)~D(G)$, where $0 ...
M. Merajuddin, S. Bhatnagar, S. Pirzada
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Spanning k-trees and distance spectral radius in graphs
The Journal of Supercomputing11 ...
Sizhong Zhou, Jiancheng Wu
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Mathematical measures of societal polarisation.
PLoS ONE, 2022 In opinion dynamics, as in general usage, polarisation is subjective. To understand polarisation, we need to develop more precise methods to measure the agreement in society.
Johnathan A Adams +2 more
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On graphs with distance Laplacian eigenvalues of multiplicity n−4
AKCE International Journal of Graphs and Combinatorics, 2023 Let G be a connected simple graph with n vertices. The distance Laplacian matrix [Formula: see text] is defined as [Formula: see text], where [Formula: see text] is the diagonal matrix of vertex transmissions and [Formula: see text] is the distance ...
Saleem Khan, S. Pirzada, A. Somasundaram
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Shock and Vibration, 2022 In this study, the effect of urban subway tunnels with a circular cross section on the spectral velocity of the ground surface in alluvial soils was investigated.
Hamed Fakhriyeh +2 more
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Some inequalities involving the distance signless Laplacian eigenvalues of graphs [PDF]
Transactions on Combinatorics, 2021 Given a simple graph $G$, the distance signlesss Laplacian $D^{Q}(G)=Tr(G)+D(G)$ is the sum of vertex transmissions matrix $Tr(G)$ and distance matrix $D(G)$.
Abdollah Alhevaz +3 more
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On the General Sum Distance Spectra of Digraphs
Mathematics, 2023 Let G be a strongly connected digraph, and dG(vi,vj) denote the distance from the vertex vi to vertex vj and be defined as the length of the shortest directed path from vi to vj in G.
Weige Xi +3 more
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Experimental realization of a Fresnel hologram as a super spectral resolution optical element
Scientific Reports, 2021 A highly dispersive, diffractive optical element is designed and realized for an extremely high spectral resolution spectroscopy for exoplanet telescope application.
Mei-Li Hsieh +5 more
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