Results 31 to 40 of about 232,364 (309)
Estimating vertex-degree-based energies [PDF]
Introduction/purpose: In the current literature, several dozens of vertexdegree-based (VDB) graph invariants are being studied. To each such invariant, a matrix can be associated.
Ivan Gutman
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Algorithm Design Using Spectral Graph Theory
Spectral graph theory is the interplay between linear algebra and combinatorial graph theory. Laplace’s equation and its discrete form, the Laplacian matrix, appear ubiquitously in mathematical physics. Due to the recent discovery of very fast solvers for these equations, they are also becoming increasingly useful in combinatorial optimization ...
Richard Peng
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The Galois Complexity of Graph Drawing: Why Numerical Solutions are Ubiquitous for Force-Directed, Spectral, and Circle Packing Drawings [PDF]
Many well-known graph drawing techniques, including force directed drawings, spectral graph layouts, multidimensional scaling, and circle packings, have algebraic formulations.
A.C. Yao +10 more
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Spectral Theory of Isogeny Graphs
Accepted for publication on the Journal of Number Theory.
Codogni, Giulio, Lido, Guido
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Graph Entropy of Some Special Chemical Graphs
Chemical graph theory plays an important role in modelling molecules, especially examining physico-chemical properties of the chemical compounds. Alkanes are one of the chemical compounds which are made up of hydrogen and carbon atoms, generally known ...
B. I. Andrew, A Anuradha
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Sampling and Reconstruction of Sparse Signals on Circulant Graphs - An Introduction to Graph-FRI
With the objective of employing graphs toward a more generalized theory of signal processing, we present a novel sampling framework for (wavelet-)sparse signals defined on circulant graphs which extends basic properties of Finite Rate of Innovation (FRI)
Dragotti, Pier Luigi +1 more
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Sum-edge characteristic polynomials of graphs
Modelling a chemical compound by a (molecular) graph helps us to obtain some required information about the chemical and physical properties of the corresponding molecular structure.
Mert Sinan Oz +2 more
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Automatic Registration Of SAR And Optical Image Based On Line And Graph Spectral Theory [PDF]
In this paper, a novel registration method is proposed by integrating the graph spectral theory and line features. The principal steps of our algorithm are as follows.
J. Zhao, S. Gao, H. Sui, Y. Li, L. Li
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Spectral analysis connects graph structure to the eigenvalues and eigenvectors of associated matrices. Much of spectral graph theory descends directly from spectral geometry, the study of differentiable manifolds through the spectra of associated ...
Benson, Austin R. +2 more
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Spatio–Spectral Limiting on Replacements of Tori by Cubes
A class of graphs is defined in which each vertex of a discrete torus is replaced by a Boolean hypercube in such a way that vertices in a fixed subset of each replacement cube are adjacent to corresponding vertices of a neighboring replacement cube ...
Jeffrey A. Hogan, Joseph D. Lakey
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