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» Harmonic evolutions on graphs
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92
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CORR
2012
Springer
200views Education» more  CORR 2012»
13 years 5 months ago
Harmonic evolutions on graphs
We define the harmonic evolution of states of a graph by iterative application of the harmonic operator (Laplacian over Z2). This provides graphs with a new geometric context and...
Jerzy Kocik
75
Voted
COMBINATORICS
2000
142views more  COMBINATORICS 2000»
14 years 10 months ago
Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials
We construct examples of nonnegative harmonic functions on certain graded graphs: the Young lattice and its generalizations. Such functions first emerged in harmonic analysis on th...
Alexei Borodin, Grigori Olshanski
65
Voted
ENDM
2002
109views more  ENDM 2002»
14 years 10 months ago
Graph Operations and Zipfian Degree Distributions
The probability distribution on a set S = { 1, 2, . . . , n } defined by Pr(k) = 1/(Hnk), where Hn in the nth harmonic number, is commonly called a Zipfian distribution. In this no...
Walter W. Kirchherr
91
Voted
GECCO
2007
Springer
179views Optimization» more  GECCO 2007»
15 years 4 months ago
The second harmonic generation case-study as a gateway for es to quantum control problems
The Second Harmonic Generation (SHG), a process that turns out to be a good test case in the physics lab, can also be considered as a fairly simple theoretical test function for g...
Ofer M. Shir, Thomas Bäck
ICPR
2006
IEEE
15 years 11 months ago
Bin-Picking based on Harmonic Shape Contexts and Graph-Based Matching
In this work we address the general bin-picking problem where 3D data is available. We apply Harmonic Shape Contexts (HSC) features since these are invariant to translation, scale...
Jakob Kirkegaard, Thomas B. Moeslund