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CORR
2012
Springer
200views Education» more  CORR 2012»
12 years 7 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
IJON
2010
120views more  IJON 2010»
13 years 10 months ago
Semi-supervised learning with varifold Laplacians
This paper presents varifold learning, a learning framework based on the mathematical concept of varifolds. Different from manifold based methods, our varifold learning framework ...
Lei Ding, Peibiao Zhao
COMBINATORICS
2002
107views more  COMBINATORICS 2002»
13 years 11 months ago
Combinatorial Laplacian of the Matching Complex
A striking result of Bouc gives the decomposition of the representation of the symmetric group on the homology of the matching complex into irreducibles that are self-conjugate. We...
Xun Dong, Michelle L. Wachs
APPML
2005
80views more  APPML 2005»
13 years 11 months ago
On the pseudo-inverse of the Laplacian of a bipartite graph
1 We provide an efficient method to calculate the pseudo-inverse of the Laplacian of a bipartite graph, which is2 based on the pseudo-inverse of the normalized Laplacian.3
Ngoc-Diep Ho, Paul Van Dooren
GC
2008
Springer
13 years 11 months ago
Laplacian Spectrum of Weakly Quasi-threshold Graphs
In this paper we study the class of weakly quasi-threshold graphs that are obtained from a vertex by recursively applying the operations (i) adding a new isolated vertex, (ii) addi...
R. B. Bapat, A. K. Lal, Sukanta Pati
CGF
2010
120views more  CGF 2010»
13 years 11 months ago
Polygonal mesh watermarking using Laplacian coordinates
We propose a watermarking algorithm for polygonal meshes based on the modification of the Laplacian coordinates. More specifically, we first compute the Laplacian coordinates (x,y...
Ying Yang, Ioannis P. Ivrissimtzis
SPAA
2005
ACM
14 years 5 months ago
Finding effective support-tree preconditioners
In 1995, Gremban, Miller, and Zagha introduced supporttree preconditioners and a parallel algorithm called supporttree conjugate gradient (STCG) for solving linear systems of the ...
Bruce M. Maggs, Gary L. Miller, Ojas Parekh, R. Ra...