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» Unifying Two Graph Decompositions with Modular Decomposition
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JACM
2007
115views more  JACM 2007»
14 years 11 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
15 years 5 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»
14 years 11 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
14 years 10 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
14 years 11 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...