Results 41 to 50 of about 96,121 (306)
The Local Spectra of Line Graphs [PDF]
The local spectrum of a graph G = (V, E), constituted by the standard eigenvalues of G and their local multiplicities, plays a similar role as the global spectrum when the graph is “seen” from a given vertex. Thus, for each vertex i ∈ V , the i-local multiplicities of all the eigenvalues add up to 1; whereas the multiplicity of each eigenvalue λl ∈ ev ...
Fiol Mora, Miquel Àngel +1 more
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Reproducibility of functional connectivity and graph measures based on the Phase Lag Index (PLI) and weighted Phase Lag Index (wPLI) derived from high resolution EEG [PDF]
Functional connectivity (FC) and graph measures provide powerful means to analyze complex networks. The current study determines the inter-subject-variability using the coefficient of variation (CoV) and long-term test-retest-reliability (TRT) using the ...
Florian Hatz +23 more
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On Laplacian-energy-like invariant and incidence energy [PDF]
For a simple connected graph G with n -vertices having Laplacian eigenvalues μ 1 , μ 2 , … , μ n−1 , μ n =0 , and signless Laplacian eigenvalues q 1 ,q 2 ,…,q n , the Laplacian-energy-like invariant(LEL ) and the incidence energy ...
Shariefuddin Pirzada , Hilal A. Ganie
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An inequality on graph spectra
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Lihua Feng, Yunqing Xu
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An \(n\)-fold periodic locally finite graph in the Euclidean \(n\)-space may be considered the parent of an infinite class of \(n\)-dimensional toroidal finite graphs. An elementary method is developed that allows the characteristic polynomials of these graphs to be factored in a uniform manner, into smaller polynomials, all of the same size.
Peter E. John, Horst Sachs
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Weisfeiler-Leman and Graph Spectra
Error in Theorem 1.4 ...
Gaurav Rattan, Tim Seppelt
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Finding planted partitions in random graphs with general degree distributions [PDF]
We consider the problem of recovering a planted partition such as a coloring, a small bisection, or a large cut in an (apart from that) random graph. In the last 30 years many algorithms for this problem have been developed that work provably well on ...
Coja-Oghlan, Amin, Lanka, André
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The Laplacian spectrum of neural networks
The brain is a complex network of neural interactions, both at the microscopic and macroscopic level. Graph theory is well suited to examine the global network architecture of these neural networks.
Siemon ede Lange +2 more
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Gerard J. Chang +2 more
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Spectral properties of the commuting graphs of certain groups
Let G be a finite group. The commuting graph Γ=C(G)is a simple graph with vertex set G and two vertices are adjacent if and only if they commute with each other.
M. Torktaz, A.R. Ashrafi
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