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» Unifying Two Graph Decompositions with Modular Decomposition
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JACM
2007
115views more  JACM 2007»
13 years 7 months ago
Optimal pants decompositions and shortest homotopic cycles on an orientable surface
We consider the problem of finding a shortest cycle (freely) homotopic to a given simple cycle on a compact, orientable surface. For this purpose, we use a pants decomposition of...
Éric Colin de Verdière, Francis Laza...
SAC
2006
ACM
14 years 1 months ago
Spatial geometric constraint solving based on k-connected graph decomposition
We propose a geometric constraint solving method based on connectivity analysis in graph theory, which can be used to decompose a well-constrained problem into some smaller ones i...
Gui-Fang Zhang, Xiao-Shan Gao
CORR
2010
Springer
164views Education» more  CORR 2010»
13 years 7 months ago
Schnyder decompositions for regular plane graphs and application to drawing
Schnyder woods are decompositions of simple triangulations into three edge-disjoint spanning trees crossing each other in a specific way. In this article, we define a generalizatio...
Olivier Bernardi, Éric Fusy
WIOPT
2010
IEEE
13 years 5 months ago
K-shell decomposition for dynamic complex networks
—K-shell (or k-core) graph decomposition methods were introduced as a tool for studying the structure of large graphs. K-shell decomposition methods have been recently proposed [...
Daniele Miorandi, Francesco De Pellegrini
ICASSP
2010
IEEE
13 years 7 months ago
Fast signal analysis and decomposition on graphs using the Sparse Matrix Transform
Recently, the Sparse Matrix Transform (SMT) has been proposed as a tool for estimating the eigen-decomposition of high dimensional data vectors [1]. The SMT approach has two major...
Leonardo R. Bachega, Guangzhi Cao, Charles A. Boum...