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» Partitioning Graphs into Connected Parts
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JGT
2006
70views more  JGT 2006»
14 years 9 months ago
Vertex partitions of chordal graphs
Abstract: A k-tree is a chordal graph with no (k + 2)-clique. An -treepartition of a graph G is a vertex partition of G into `bags,' such that contracting each bag to a single...
David R. Wood
IVC
2007
130views more  IVC 2007»
14 years 9 months ago
Attribute-space connectivity and connected filters
In this paper connected operators from mathematical morphology are extended to a wider class of operators, which are based on connectivities in higher-dimensional spaces, similar ...
Michael H. F. Wilkinson
FOCS
2009
IEEE
15 years 4 months ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
60
Voted
CPAIOR
2007
Springer
15 years 3 months ago
Necessary Condition for Path Partitioning Constraints
Given a directed graph G, the K node-disjoint paths problem consists in finding a partition of G into K node-disjoint paths, such that each path ends up in a given subset of nodes...
Nicolas Beldiceanu, Xavier Lorca
96
Voted
PAMI
2006
141views more  PAMI 2006»
14 years 9 months ago
Diffusion Maps and Coarse-Graining: A Unified Framework for Dimensionality Reduction, Graph Partitioning, and Data Set Parameter
We provide evidence that non-linear dimensionality reduction, clustering and data set parameterization can be solved within one and the same framework. The main idea is to define ...
Stéphane Lafon, Ann B. Lee