Research graph
References from Data Analytics on Graphs Part I: Graphs and Spectra on Graphs. Local targets link to admitted publications; unresolved targets remain external evidence.
The use of graph theory in binary block code construction”
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Eigenvalues and expanders”
10.1007/bf02579166 · External reference
The Laplacian matrix of a graph”
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On the Laplacian spectra of product graphs”
10.2298/aadm150218006b · External reference
Laplacian eigenmaps for dimensionality reduction and data representation”
10.1162/089976603321780317 · External reference
10.1007/978-1-4614-1939-6
10.1007/978-1-4614-1939-6 · External reference
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Singular value decompositions of complex symmetric matrices&
10.1016/0377-0427(88)90386-x · External reference
The electrical resistance of a graph captures its commute and cover times
10.1007/bf01270385 · External reference
Spectrum of the 1-Laplacian and Cheeger’s constant on graphs”
10.1002/jgt.21871 · External reference
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Laplacians and the Cheeger inequality for directed graphs”
10.1007/s00026-005-0237-z · External reference
Four proofs for the Cheeger inequality and graph partition algorithms”
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A combinatorial Laplacian with vertex weights”
10.1006/jcta.1996.0080 · External reference
“Diffusion maps”
10.1016/j.acha.2006.04.006 · External reference
Developments in the theory of graph spectra”
10.1080/03081088508817683 · External reference
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Clustering with multi-layer graphs: A spectral perspective
10.1109/tsp.2012.2212886 · External reference
Kron reduction of graphs with applications to electrical networks”
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Algebraic connectivity of graphs”
10.21136/cmj.1973.101168 · External reference
Eigenvalues of Laplacians on a closed Riemannian manifold and its nets”
10.1090/s0002-9939-1995-1257106-5 · External reference
On the shift operator, graph frequency, and optimal filtering in graph signal processing”.
10.1109/tsp.2017.2752689 · External reference
10.1007/978-1-84996-290-2
10.1007/978-1-84996-290-2 · External reference
Geometrical structure of Laplacian eigenfunctions”.
10.1137/120880173 · External reference
New spectral methods for ratio cut partitioning and clustering”
10.1109/43.159993 · External reference
Extraction of temporal network structures from graph-based signals”
10.1109/tsipn.2016.2530562 · External reference
Relabelling vertices according to the network structure by minimizing the cyclic bandwidth sum”
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;On the notion of balance of a signed graph.
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Bounds for the least Laplacian eigenvalue of a signed graph”
10.1007/s10114-004-0437-9 · External reference
Spectrum-preserving sparsification for visualization of big graphs”
10.1016/j.cag.2020.02.004 · External reference
Data clustering: 50 years beyond K-means”
10.1016/j.patrec.2009.09.011 · External reference
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10.1007/978-94-011-5014-9
10.1007/978-94-011-5014-9 · External reference
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10.1017/cbo9781139523967
10.1017/cbo9781139523967 · External reference
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Non-negative and sparse spectral clustering
10.1016/j.patcog.2013.07.003 · External reference
Some properties of Cartesian product graphs of Cayley graphs with arithmetic graphs
10.5120/ijca2016908742 · External reference
Contour and texture analysis for image segmentation
10.1023/a:1011174803800 · External reference
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Spectral shape classification: A deep learning approach
10.1016/j.jvcir.2017.01.001 · External reference
A spectral graph wavelet approach for nonrigid 3D shape retrieval
10.1016/j.patrec.2016.04.009 · External reference
UMAP: Uniform manifold approximation and projection
10.21105/joss.00861 · External reference
Spectral-based mesh segmentation”
10.1007/s12008-016-0300-0 · External reference
BRAPH: A graph theory software for the analysis of brain connectivity”
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Isoperimetric numbers of graphs”
10.1016/0095-8956(89)90029-4 · External reference
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“Graph theory for image analysis: An approach based on the shortest spanning tree”
10.1049/ip-f-1.1986.0025 · External reference
10.1016/b978-0-12-813677-5.00008-0
10.1016/b978-0-12-813677-5.00008-0 · External reference
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Eigenvectors of random matrices: A survey”
10.1016/j.jcta.2016.06.008 · External reference
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;Clustering and embedding using commute times”
10.1109/tpami.2007.1103 · External reference
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Complex network measures of brain connectivity: Uses and interpretations”.
10.1016/j.neuroimage.2009.10.003 · External reference
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Discrete signal processing on graphs”.
10.1109/tsp.2013.2238935 · External reference
;Big data analysis with signal processing on graphs: Representation and processing of massive data sets with irregular structure”
10.1109/msp.2014.2329213 · External reference
Discrete signal processing on graphs: Frequency analysis”
10.1109/tsp.2014.2321121 · External reference
On the graph Fourier transform for directed graphs”.
10.1109/jstsp.2017.2726979 · External reference
Graph clustering”.
10.1016/j.cosrev.2007.05.001 · External reference
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The emerging field of signal processing on graphs: Extending high-dimensional data analysis to networks and other irregular domains”.
10.1109/msp.2012.2235192 · External reference
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Graph sparsification by effective resistances”
10.1137/080734029 · External reference
Spectral partitioning works: Planar graphs and finite element meshes”.
10.1016/j.laa.2006.07.020 · External reference
Understanding the basis of graph signal processing via an intuitive example-driven approach”
10.1109/msp.2019.2929832 · External reference
Vertex-frequency analysis: A way to localize graph spectral components [Lecture Notes]”.
10.1109/msp.2017.2696572 · External reference
10.1007/978-3-030-03574-7_11
10.1007/978-3-030-03574-7_11 · External reference
Vertex-frequency energy distributions”.
10.1109/lsp.2017.2764884 · External reference
Reduced interference vertex-frequency distributions”.
10.1109/lsp.2018.2860250 · External reference
A simple min-cut algorithm”.
10.1145/263867.263872 · External reference
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10.1007/978-3-030-29349-9_5
10.1007/978-3-030-29349-9_5 · External reference
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10.1017/cbo9781139839099
10.1017/cbo9781139839099 · External reference
A tutorial on spectral clustering”.
10.1007/s11222-007-9033-z · External reference
Graphical models, exponential families, and variational inference”.
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Multiscale structural similarity for image quality assessment”.
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10.1109/iccv.1999.790354
10.1109/iccv.1999.790354 · External reference
