Results 41 to 50 of about 96,121 (306)

The Local Spectra of Line Graphs [PDF]

open access: yesElectronic Notes in Discrete Mathematics, 2007
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
openaire   +2 more sources

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]

open access: yes, 2014
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
core   +1 more source

On Laplacian-energy-like invariant and incidence energy [PDF]

open access: yesInternational Journal of Group Theory, 2015
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
doaj  

An inequality on graph spectra

open access: yesApplied Mathematics Letters, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lihua Feng, Yunqing Xu
openaire   +1 more source

Spectra of toroidal graphs

open access: yesDiscrete Mathematics, 2009
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
openaire   +2 more sources

Weisfeiler-Leman and Graph Spectra

open access: yes, 2023
Error in Theorem 1.4 ...
Gaurav Rattan, Tim Seppelt
openaire   +2 more sources

Finding planted partitions in random graphs with general degree distributions [PDF]

open access: yes, 2009
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
core   +1 more source

The Laplacian spectrum of neural networks

open access: yesFrontiers in Computational Neuroscience, 2014
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
doaj   +1 more source

Geodetic spectra of graphs

open access: yesEuropean Journal of Combinatorics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gerard J. Chang   +2 more
openaire   +2 more sources

Spectral properties of the commuting graphs of certain groups

open access: yesAKCE International Journal of Graphs and Combinatorics, 2019
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
doaj   +2 more sources

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