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On the full Brouwer's Laplacian spectrum conjecture
Discrete Mathematics, 2022Ji-Ming Guo
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Some results on the Laplacian spectrum
Computers and Mathematics With Applications, 2010 A graph is called a Laplacian integral graph if the spectrum of its Laplacian matrix consists of integers, and a graph G is said to be determined by its Laplacian spectrum if there does not exist other non-isomorphic graph H such that H and G share the ...
Muhuo Liu, Bolian Liu
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The normalized Laplacian spectrum of quadrilateral graphs and its applications
Applied Mathematics and Computation, 2017Deqiong Li, Yaoping Hou
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On the signless Laplacian and normalized Laplacian spectrum of the zero divisor graphs
Ricerche Di Matematica, 2020Mojgan Afkhami +2 more
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Dataset complexity assessment based on cumulative maximum scaled area under Laplacian spectrum
Multimedia tools and applications, 2022Dataset complexity assessment aims to predict classification performance on a dataset with complexity calculation before training a classifier, which can also be used for classifier selection and dataset reduction.
Guang Li +3 more
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On some forests determined by their Laplacian or signless Laplacian spectrum
Computers and Mathematics With Applications, 2009 We consider the class of graphs whose each component is either a proper subgraph of some Smith graphs, or belongs to a precized subset of Smith graphs.
Slobodan K SIMIĆ, Zoran Stanić
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On distance signless Laplacian spectrum of graphs and spectrum of zero divisor graphs of ℤn
Linear and multilinear algebra, 2020For a simple connected graph G of order n, we obtain the distance signless Laplacian spectrum of the joined union of regular graphs in terms of their adjacency spectrum and the spectrum of an auxiliary matrix.
S. Pirzada +3 more
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The Laplacian spectrum of a graph
Computers and Mathematics With Applications, 2004 Let G = (V, E) be a simple graph. Denote by D(G) the diagonal matrix of its vertexdegrees and by A(G) its adjacency matrix. Then, the Laplacian matrix of G is L(G) = D(G) − A(G).
Das, K.Ch.
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Normalized Laplacian spectrum of complete multipartite graphs
Discrete Applied Mathematics, 2020The spectrum of the normalized Laplacian matrix of a graph provides many structural information of the graph, and it has many applications in numerous areas and in different guises. Let G be a complete k -partite graph with k ≥ 3 . In this paper, we give
Shaowei Sun, K. Das
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On distance Laplacian spectrum (energy) of graphs
Discret. Math. Algorithms Appl., 2020For a simple connected graph G of order n having distance Laplacian eigenvalues ρ1L ≥ ρ 2L ≥⋯ ≥ ρ nL, the distance Laplacian energy DLE(G) is defined as DLE(G) =∑i=1n|ρ iL −2W(G) n |, where W(G) is...
Hilal A. Ganie
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