Six Results from the Frequency Domain • Suppose {Yt} is a covariance stationary process with no deterministic component. By Wold’s Decomposition Theorem (see, e.g., Sargent, Macroeconomic Theory, chapter XI, section

Source URL: faculty.wcas.northwestern.edu

Spectral Graph Theory and Applications WSProblem Set 1 Due: Nov. 25

Source URL: resources.mpi-inf.mpg.de

• Algebra
• Mathematics
• Graph theory
• Matrix theory
• Algebraic graph theory
• Linear algebra
• Eigenvalues and eigenvectors
• Singular value decomposition
• Laplacian matrix
• PerronFrobenius theorem
• Lovsz number

Although the result is correct, the algorithm and analysis presented in this paper contain non-trivial errors. These have been fixed in a technical report (availabe at http://www.disco.ethz.ch/publications/planarmds_-1.p

Source URL: disco.ethz.ch

• Graph theory
• NP-complete problems
• Maximal independent set
• Independent set
• Dominating set
• Vertex cover
• Graph coloring
• Planar graph
• Graph minor
• Planar separator theorem
• Tree decomposition

2. PROBLEM SET FOR “DIFFERENTIAL GEOMETRY II” AKA “ANALYSIS AND GEOMETRY ON MANIFOLDS” WINTER TERMProblem 4. Prove the following theorem from class, which defines the product of smooth manifolds.

Source URL: carsten.codimi.de

• Topology
• Mathematics
• Mathematical analysis
• Geometric topology
• Differentiable manifold
• Smooth structure
• Manifolds
• Handle decomposition
• Complex manifold

A Linear-Time Algorithm for Network Decomposition Lenore J. Cowen Department of Mathematical Sciences The Johns Hopkins University Baltimore, MD 21218 

Source URL: www.cs.tufts.edu

• Graph theory
• Mathematics
• Network theory
• Edsger W. Dijkstra
• Shortest path problem
• Graph
• Planar separator theorem
• Graph coloring

1 PDE models for population and residual work applied to peer-to-peer networks Fernando Paganini and Andr´es Ferragut Universidad ORT Uruguay

Source URL: fi.ort.edu.uy

• Logic
• Philosophy
• Abstraction
• Automated theorem proving
• Logic programming
• Logical truth
• Propositional calculus
• Substitution
• Dynamical system
• Structure
• Model theory
• Decomposition of spectrum

A NNALES DE L’I. H. P., SECTION B JAY ROSEN Joint continuity and a Doob-Meyer type decomposition for renormalized intersection local times Annales de l’I. H. P., section B, tome 35, no), p.

Source URL: www.math.csi.cuny.edu

• Probability theory
• Mathematical analysis
• Martingale theory
• Stochastic processes
• Mathematics
• Local time
• DoobMeyer decomposition theorem
• It calculus
• Doob decomposition theorem

Damage Assessment of Structure by the Reciprocal Theorem of Elastodynamics and the Frequency Domain Decomposition (FDD) Method Chung-Yue Wang, Che-Hau Chiang & Chin-Kuo Huang Department of Civil Engineering, National Cen

Source URL: www.cber.ncu.edu.tw

• Wave mechanics
• Physics
• Calculus
• Mechanics
• Acoustics
• Structural analysis
• Earthquake engineering
• Vibration
• Modal testing
• Modal analysis
• Curvature
• Modal logic

Fast Evaluation of Interlace Polynomials on Graphs of Bounded Treewidth Markus Bl¨aser and Christian Hoffmann Saarland University, Germany Abstract. We consider the multivariate interlace polynomial introduced by Courc

Source URL: www-cc.cs.uni-saarland.de

• Graph theory
• Matroid theory
• Polynomials
• Tutte polynomial
• Adjacency matrix
• Treewidth
• Tree decomposition
• Ear decomposition
• Graph coloring
• Planar separator theorem

Multiclass Spectral Clustering Stella X. Yu Robotics Institute and CNBC Carnegie Mellon University Pittsburgh, PA

Source URL: www1.icsi.berkeley.edu

• Linear algebra
• Matrix theory
• Functional analysis
• Control theory
• Numerical analysis
• Eigenvalues and eigenvectors
• Spectral clustering
• Singular value decomposition
• Discretization
• Matrix
• Gaussian function
• KarhunenLove theorem