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Data Analytics on Graphs Part I: Graphs and Spectra on Graphs
Foundations and Trends® in Machine Learning, 2020The area of Data Analytics on graphs promises a paradigm shift, as we approach information processing of new classes of data which are typically acquired on irregular but structured domains (such as social networks, various ad-hoc sensor networks).
Ljubisa Stankovic +6 more
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The graph spectra and spectral moments of random graphs
Discrete Applied Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naghmeh Ghanooni +2 more
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Robustness of random graphs based on graph spectra
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2012It has been recently proposed that the robustness of complex networks can be efficiently characterized through the natural connectivity, a spectral property of the graph which corresponds to the average Estrada index. The natural connectivity corresponds to an average eigenvalue calculated from the graph spectrum and can also be interpreted as the ...
Wu, Jun +3 more
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Incidences and the Spectra of Graphs
2008In this contribution we give incidence bounds for arrangements of curves in F q 2. As an application, we prove a new result that, if (x, f (x)) is a Sidon set, then either A+A or f(A)+f(A) should be large. The main goal of the paper is to illustrate the use of graph spectral techniques in additive combinatorics. This is an extended version of the talks
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Graph Classification Based on Optimizing Graph Spectra
2010Kernel methods such as the SVM are becoming increasingly popular due to their high performance in graph classification. In this paper, we propose a novel graph kernel, called SPEC, based on graph spectra and the Interlace Theorem, as well as an algorithm, called OPTSPEC, to optimize the SPEC kernel used in an SVM for graph classification.
Nguyen Duy Vinh +2 more
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On Normalized Laplacian Spectra of the Weakly Zero-Divisor Graph of the Ring ℤn
Mathematics, 2023, Nadeem Ur Rehman, Ahmad M Alghamdi
exaly
On the eccentricity spectra of chain graphs
Discrete Mathematics, Algorithms and ApplicationsChain graphs play a pivotal role in spectral graph theory and have a wide range of applications across the disciplines of computer science and probability theory. The eccentricity matrix [Formula: see text] of a graph [Formula: see text] is derived from its distance matrix by identifying the maximum value in each row and column, while all other ...
Yaqiong Qiao, Xuezheng Lv
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Double gaussianization of graph spectra
Applied Mathematical Modelling, 2021Fawzi Al-Thukair, Ernesto Estrada
exaly