Developments on Spectral Characterizations of Graphs
In [E.R. van Dam and W.H. Haemers, Which graphs are determined by their spectrum?, Linear Algebra Appl. 373 (2003), 241-272] we gave a survey of answers to the question of which graphs are determined by the spectrum of some matrix associated to the graph.
Dam, E.R. van, Haemers, W.H.
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Computing the reciprocal distance signless Laplacian eigenvalues and energy of graphs
, 2019 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.
Ramane, Harishchandra +2 more
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Quantitative structure-properties relationship analysis of Eigen-value-based indices using COVID-19 drugs structure. [PDF]
Int J Quantum Chem, 2023 Rauf A, Naeem M, Hanif A.
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Eigenvalue-based entropy in directed complex networks. [PDF]
PLoS One, 2021 Sun Y, Zhao H, Liang J, Ma X.
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Maximal and minimal entry in the principal eigenvector for the distance matrix of a graph
, 2011 Let G=(V,E) be a simple, connected and undirected graph with vertex set V(G) and edge set E(G). Also let D(G) be the distance matrix of a graph G (Janežič et al., 2007) [13].
Das, Kinkar Ch., Kinkar Ch. Das
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Albertson (Alb) spectral radii and Albertson (Alb) energies of graph operation. [PDF]
Front Chem, 2023 Munir MM, Wusqa UT.
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For a connected graph $G$ of order $n$, let \( \mathcal {D}(G) \) be the distance matrix and $Tr(G)$ be the diagonal matrix of vertex transmissions of $G$.
Saleem Khan +5 more
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Strengthening container shipping network connectivity during COVID-19: A graph theory approach. [PDF]
Ocean Coast Manag, 2022 Pan JJ, Zhang YF, Fan B.
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Extremal properties of distance-based graph invariants for $k$-trees [PDF]
, 2017 summary:Sharp bounds on some distance-based graph invariants of $n$-vertex $k$-trees are established in a unified approach, which may be viewed as the weighted Wiener index or weighted Harary index.
Zhang, Minjie +3 more
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A decision-making technique under interval-valued Fermatean fuzzy Hamacher interactive aggregation operators. [PDF]
Soft comput, 2023 Shahzadi G, Luqman A, Karaaslan F.
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