On Zagreb index, signless Laplacian eigenvalues and signless Laplacian energy of a graph
, 2022 Let $G$ be a simple graph with order $n$ and size $m$. The quantity $M_1(G)=\displaystyle\sum_{i=1}^{n}d^2_{v_i}$ is called the first Zagreb index of $G$, where $d_{v_i}$ is the degree of vertex $v_i$, for all $i=1,2,\dots,n$.
Pirzada, S., Khan, Saleem
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New bounds on the distance Laplacian and distance signless Laplacian spectral radii
, 2019 Let G be a simple undirected connected graph. In this paper, new upper bounds on the distance Laplacian spectral radius of G are obtained. Moreover, new lower and upper bounds for the distance signless Laplacian spectral radius of G are derived.
Rojo, Óscar +2 more
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On the Adjacency, Laplacian, and Signless Laplacian Spectrum of Coalescence of Complete Graphs [PDF]
, 2016 Coalescence as one of the operations on a pair of graphs is significant due to its simple form of chromatic polynomial. The adjacency matrix, Laplacian matrix, and signless Laplacian matrix are common matrices usually considered for discussion under ...
S. R. Jog, Raju Kotambari
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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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The sun graph is determined by its signless Laplacian spectrum
, 2010 For a simple undirected graph G, the corresponding signless Laplacian matrix is defined as D(G) + A(G) in which D(G) and A(G) are degree matrix and adjacency matrix of G, respectively.
Mirzakhah, Maryam, Kiani, Dariush
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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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Ordering cacti with signless Laplacian spread
, 2018 A cactus is a connected graph in which any two cycles have at most one vertex in common. The signless Laplacian spread of a graph is defined as the difference between the largest eigenvalue and the smallest eigenvalue of the associated signless Laplacian
Lin, Zhen, Guo, Shu-Guang
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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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Albertson (Alb) spectral radii and Albertson (Alb) energies of graph operation. [PDF]
Front Chem, 2023 Munir MM, Wusqa UT.
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A sharp upper bound for the spectral radius of a nonnegative matrix and applications [PDF]
, 2016 summary:We obtain a sharp upper bound for the spectral radius of a nonnegative matrix. This result is used to present upper bounds for the adjacency spectral radius, the Laplacian spectral radius, the signless Laplacian spectral radius, the distance ...
Shu, Yujie, Zhang, Xiao-Dong, You, Lihua
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