Results 61 to 70 of about 232,364 (309)
A novel algebraic technique for adjacency matrices of some derived graphs
Graph energy has been the main concern of spectral graph theory in the last five decades. The classical graph energy is the sum of the absolute values of the eigenvalues of the adjacency matrix. In many research papers, different versions of graph energy
Hacer Ozden Ayna +5 more
doaj +1 more source
Lattice fermions as spectral graphs
We study lattice fermions from the viewpoint of spectral graph theory (SGT). We find that a fermion defined on a certain lattice is identified as a spectral graph. SGT helps us investigate the number of zero eigenvalues of lattice Dirac operators even on
Jun Yumoto, Tatsuhiro Misumi
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Hyperspectral Image Classification with Localized Graph Convolutional Filtering
The nascent graph representation learning has shown superiority for resolving graph data. Compared to conventional convolutional neural networks, graph-based deep learning has the advantages of illustrating class boundaries and modeling feature ...
Shengliang Pu +3 more
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Modular Index Invariants of Mumford Curves [PDF]
We continue an investigation initiated by Consani-Marcolli of the relation between the algebraic geometry of p-adic Mumford curves and the noncommutative geometry of graph C*-algebras associated to the action of the uniformizing p-adic Schottky group on ...
Carey, Alan +2 more
core +2 more sources
Objective Knee osteoarthritis (OA) commonly affects individuals with type 2 diabetes (T2DM) and is associated with increased risk of diabetes‐related complications. To better understand potential mechanisms, we examined the association between symptomatic knee OA and glycemic control in individuals with T2DM.
Lauren K. King +10 more
wiley +1 more source
Spectral clustering, as an algorithm based on graph theory and spectral theory, has shown excellent performance in classification tasks of hyperspectral images in recent years. Although better results have been achieved, some challenges still exist.
Chengmao Wu, Jiale Zhang
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Statistical Properties of Quantum Graph Spectra
A general analytical approach to the statistical description of quantum graph spectra based on the exact periodic orbit expansions of quantum levels is discussed.
Dabaghian, Yu.
core +3 more sources
Harnessing Fungal Biowelding for Constructing Mycelium‐Engineered Materials
Mycelium‐bound composites (MBCs) offer low‐carbon alternatives for construction, yet interfacial bonding remains a critical challenge. This review examines fungal biowelding as a biocompatible adhesive, elucidating mycelium‐mediated interfacial mechanisms and their role in material assembly. Strategies to optimize biowelding are discussed, highlighting
Xue Brenda Bai +2 more
wiley +1 more source
Interpolating Missing Spatial Data Using Graph Laplacian Eigenbasis
This paper addresses the problem of interpolating missing spatial data at the vertices of a connected undirected simple graph. We show that, by exploiting the eigenbasis of the graph Laplacian, all missing values can be reconstructed even from a single ...
Zihan Jin, Hiroshi Yamada
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Invertibility of graph translation and support of Laplacian Fiedler vectors
The graph Laplacian operator is widely studied in spectral graph theory largely due to its importance in modern data analysis. Recently, the Fourier transform and other time-frequency operators have been defined on graphs using Laplacian eigenvalues and ...
Begué, Matthew, Okoudjou, Kasso A.
core +1 more source

