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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovRen Y, Wei GW.
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Mol2Raman: a graph neural network model for predicting Raman spectra from SMILES representations.
Digit DiscovSorrentino S +7 more
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Downsampling graphs using spectral theory
2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2011In this paper we present methods for downsampling datasets defined on graphs (i.e., graph-signals) by extending downsampling results for traditional N-dimensional signals. In particular, we study the spectral properties of k-regular bipartite graphs (K-RBG) and prove that downsampling in these graphs is governed by a Nyquist-like criteria.
Sunil K Narang, Antonio Ortega
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Domination and Spectral Graph Theory
2020Spectral graph theory studies graphs through the eigenvalues and eigenvectors of matrices associated with them. In this chapter we show how domination parameters have appeared in spectral graph theory, including the domination number γ, the total domination number γt, and the signed domination number γs.
Carlos Hoppen +2 more
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Characterising insomnia: A graph spectral theory approach
2015 37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 2015This paper introduces a computational approach to characterise healthy controls and insomniacs based on graph spectral theory. Based upon expert-generated hypnograms of sleep onset periods, a network of sleep stages transitions is derived to compute four similarity distances amongst subjects' sleeping patterns.
Ramiro, Chaparro-Vargas +3 more
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2015
The concept of the line graph of a given graph is so natural that it has been independently discovered by many authors. Of course, each author gave it a different name: It was called the interchange graph by Ore [272], derivative by H. Sachs [297], derived graph by L. W. Beineke [52], edge-to-vertex dual by M.
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The concept of the line graph of a given graph is so natural that it has been independently discovered by many authors. Of course, each author gave it a different name: It was called the interchange graph by Ore [272], derivative by H. Sachs [297], derived graph by L. W. Beineke [52], edge-to-vertex dual by M.
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On Two Conjectures of Spectral Graph Theory
Bulletin of the Iranian Mathematical Society, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Kinkar Ch., Liu, Muhuo
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