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Determining some graph joins by the signless Laplacian spectrum
Discrete Applied MathematicsA graph is determined by its signless Laplacian spectrum if there is no other non-isomorphic graph sharing the same signless Laplacian spectrum. Let $C_l$, $P_l$, $K_l$ and $K_{s,l-s}$ be the cycle, the path, the complete graph and the complete bipartite
Jiachang Ye, Jianguo Qian, Zoran Stanić
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On the Laplacian Spectrum and Kirchhoff Index of Generalized Phenylenes
Polycyclic aromatic compounds (Print), 2019Hexagonal and quadrilateral structures are very common in the molecular structure of organic chemistry, especially in polycyclic aromatic compounds. Let Ln be a generalized phenylene with t hexagons and t quadrangles, where Zhu and Liu (2018) determined ...
Chang Liu, Yingui Pan, Jianping Li
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The spectrum of the sub-Laplacian on the Heisenberg group
Tohoku Mathematical Journal, 2011 We give a complete analysis of the spectrum of the unique self-adjoint extension of the sub-Laplacian on the one-dimensional Heisenberg group.Articledepartmental bulletin ...
Aparajita Dasgupta, Shahla Molahajloo
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Laplacian Spectrum of Non-Commuting Graphs of Finite Groups
, 2017In this paper, we compute the Laplacian spectrum of non-commuting graphs of some classes of finite non-abelian groups. Our computations reveal that the non-commuting graphs of all the groups considered in this paper are L-integral.
Parama Dutta, J. Dutta, R. K. Nath
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Laplacian spectrum of reduced power graph of certain finite groups
Linear and multilinear algebra, 2019The reduced power graph of a group G is the graph whose vertices are the elements of G and two vertices u and v are adjacent if and only if or . In this paper, we study the Laplacian spectrum of the reduced power graph of the additive cyclic group , some
R. Rajkumar, T. Anitha
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Identification of the Laplacian Spectrum from Sparse Local Measurements
American Control Conference, 2019This paper addresses the problem of identifying the Laplacian spectrum of a network of interconnected dynamical systems based on sparse local measurements.
Afshin Mesbahi, M. Mesbahi
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On skew Laplacian spectrum and energy of digraphs
, 2020We consider the skew Laplacian matrix of a digraph G obtained by giving an arbitrary direction to the edges of a graph G having n vertices and m edges.
Hilal A. Ganie +3 more
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The Laplacian spectrum and average trapping time for weighted Dyson hierarchical network
Physica A: Statistical Mechanics and its Applications, 2019In this paper, we consider the weighted Dyson hierarchical network, that is a weighted fully-connected network, where the pattern of weights is ruled by a weight factor.
M. Dai +5 more
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Signless Laplacian Spectrum of a Graph
Linear Algebra and its Applications, 2023A. Ghodrati, M. Hosseinzadeh
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On the Laplacian spectrum of k-uniform hypergraphs
Linear Algebra and its Applications, 2022S. Saha, K. Sharma, S. Panda
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