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Relevant bibliographies by topics / Spectral graph realizations

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Academic literature on the topic 'Spectral graph realizations'

Author: Grafiati

Published: 30 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Spectral graph realizations"

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Göring, Frank, Christoph Helmberg, and Susanna Reiss. "On Minimizing the Spectral Width of Graph Laplacians and Associated Graph Realizations." SIAM Journal on Optimization 23, no. 2 (2013): 834–56. http://dx.doi.org/10.1137/110859658.

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Stanković, Ljubiša, Jonatan Lerga, Danilo Mandic, Miloš Brajović, Cédric Richard, and Miloš Daković. "From Time–Frequency to Vertex–Frequency and Back." Mathematics 9, no. 12 (2021): 1407. http://dx.doi.org/10.3390/math9121407.

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The paper presents an analysis and overview of vertex–frequency analysis, an emerging area in graph signal processing. A strong formal link of this area to classical time–frequency analysis is provided. Vertex–frequency localization-based approaches to analyzing signals on the graph emerged as a response to challenges of analysis of big data on irregular domains. Graph signals are either localized in the vertex domain before the spectral analysis is performed or are localized in the spectral domain prior to the inverse graph Fourier transform is applied. The latter approach is the spectral for

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Obando, Catalina, and Fabrizio De Vico Fallani. "A statistical model for brain networks inferred from large-scale electrophysiological signals." Journal of The Royal Society Interface 14, no. 128 (2017): 20160940. http://dx.doi.org/10.1098/rsif.2016.0940.

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Network science has been extensively developed to characterize the structural properties of complex systems, including brain networks inferred from neuroimaging data. As a result of the inference process, networks estimated from experimentally obtained biological data represent one instance of a larger number of realizations with similar intrinsic topology. A modelling approach is therefore needed to support statistical inference on the bottom-up local connectivity mechanisms influencing the formation of the estimated brain networks. Here, we adopted a statistical model based on exponential ra

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Das, Joyentanuj, Sachindranath Jayaraman, and Sumit Mohanty. "Distance Matrix of a Class of Completely Positive Graphs: Determinant and Inverse." Special Matrices 8, no. 1 (2020): 160–71. http://dx.doi.org/10.1515/spma-2020-0109.

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AbstractA real symmetric matrix A is said to be completely positive if it can be written as BBt for some (not necessarily square) nonnegative matrix B. A simple graph G is called a completely positive graph if every matrix realization of G that is both nonnegative and positive semidefinite is a completely positive matrix. Our aim in this manuscript is to compute the determinant and inverse (when it exists) of the distance matrix of a class of completely positive graphs. We compute a matrix 𝒭 such that the inverse of the distance matrix of a class of completely positive graphs is expressed a li

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Hussein, Amru. "Sign-indefinite second-order differential operators on finite metric graphs." Reviews in Mathematical Physics 26, no. 04 (2014): 1430003. http://dx.doi.org/10.1142/s0129055x14300039.

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The question of self-adjoint realizations of sign-indefinite second-order differential operators is discussed in terms of a model problem. Operators of the type [Formula: see text] are generalized to finite, not necessarily compact, metric graphs. All self-adjoint realizations are parametrized using methods from extension theory. The spectral and scattering theories of the self-adjoint realizations are studied in detail.

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Guguchkina, Tatiana, Mikhail Antonenko, and Yelena Yakimenko. "New grape varieties for production of high-quality wines, and assessment methodology for varietal characteristics of the product." BIO Web of Conferences 25 (2020): 02016. http://dx.doi.org/10.1051/bioconf/20202502016.

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In recent years, Russian and international breeders have produced a great many of new varieties of Vitis vinifera grapes as well as interspecies hybrids, distinguished by a high quality of fruit and other useful economic and biological features. Having a big reserve of technologically important substances and hygienic factors of grapevine, the resistant varieties may prove especially efficient for the production of premium-class wines. The appearance of high-end Russian wines with protected geographical indication (PGI) and protected appellation of origin (PAO), first of all, fits in with the

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Bazhenov, Viktor, Olha Pogorelova, and Tetiana Postnikova. "Transient Chaos in Platform-vibrator with Shock." Strength of Materials and Theory of Structures, no. 106 (May 24, 2021): 22–40. http://dx.doi.org/10.32347/2410-2547.2021.106.22-40.

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Platform-vibrator with shock is widely used in the construction industry for compacting and molding large concrete products. Its mathematical model, created in our previous work, meets all the basic requirements of shock-vibration technology for the precast concrete production on low-frequency resonant platform-vibrators. This model corresponds to the two-body 2-DOF vibro-impact system with a soft impact. It is strongly nonlinear non-smooth discontinuous system. This is unusual vibro-impact system due to its specific properties. The upper body, with a very large mass, breaks away from the lowe

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Korniichuk, N. M., S. P. Turanska, A. L. Petranovska, et al. "Magnetically sensitive nanocomposites for targeted antitumor therapy with application of gemcitabine." Himia, Fizika ta Tehnologia Poverhni 11, no. 4 (2020): 528–38. http://dx.doi.org/10.15407/hftp11.04.528.

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The aim of the work is synthesis and study on the properties of polyfunctional magnetosensitive nanocomposites (NC) and target-directed magnetic fluids (MF) based on physiological solution (PS), magnetite, gemcitabine (GEM) and HER2 antibodies (AB), promising for use in targeted antitumor therapy against MDA-MB-231 aggressive tumor cells of triple-negative human breast cancer (BC) with high proliferative and metastatic activity. The specific surface area (Ssp) of samples was determined by the method of thermal desorption of nitrogen using a device KELVIN 1042 of “COSTECH Instruments”. The size

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Dissertations / Theses on the topic "Spectral graph realizations"

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Reiß, Susanna. "Optimizing Extremal Eigenvalues of Weighted Graph Laplacians and Associated Graph Realizations." Doctoral thesis, Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-93599.

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This thesis deals with optimizing extremal eigenvalues of weighted graph Laplacian matrices. In general, the Laplacian matrix of a (weighted) graph is of particular importance in spectral graph theory and combinatorial optimization (e.g., graph partition like max-cut and graph bipartition). Especially the pioneering work of M. Fiedler investigates extremal eigenvalues of weighted graph Laplacians and provides close connections to the node- and edge-connectivity of a graph. Motivated by Fiedler, Göring et al. were interested in further connections between structural properties of the graph and

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Winter, Martin [Verfasser], Christoph [Akademischer Betreuer] Helmberg, Christoph [Gutachter] Helmberg, Michael [Gutachter] Joswig, and Egon [Gutachter] Schulte. "Spectral Realizations of Symmetric Graphs, Spectral Polytopes and Edge-Transitivity / Martin Winter ; Gutachter: Christoph Helmberg, Michael Joswig, Egon Schulte ; Betreuer: Christoph Helmberg." Chemnitz : Technische Universität Chemnitz, 2021. http://d-nb.info/1236341031/34.

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Winter, Martin. "Spectral Realizations of Symmetric Graphs, Spectral Polytopes and Edge-Transitivity." 2021. https://monarch.qucosa.de/id/qucosa%3A75215.

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A spectral graph realization is an embedding of a finite simple graph into Euclidean space that is constructed from the eigenvalues and eigenvectors of the graph's adjacency matrix. It has previously been observed that some polytopes can be reconstructed from their edge-graphs by taking the convex hull of a spectral realization of this edge-graph. These polytopes, which we shall call spectral polytopes, have remarkable rigidity and symmetry properties and are a source for many open questions. In this thesis we aim to further the understanding of this phenomenon by exploring the geometric and

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