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» On the maximum number of edges in quasi-planar graphs
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GD
2005
Springer
14 years 27 days ago
Graph Treewidth and Geometric Thickness Parameters
Consider a drawing of a graph G in the plane such that crossing edges are coloured differently. The minimum number of colours, taken over all drawings of G, is the classical graph...
Vida Dujmovic, David R. Wood
ICALP
2011
Springer
12 years 10 months ago
Clustering with Local Restrictions
We study a family of graph clustering problems where each cluster has to satisfy a certain local requirement. Formally, let µ be a function on the subsets of vertices of a graph G...
Daniel Lokshtanov, Dániel Marx
FOCS
2009
IEEE
14 years 2 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...
TIP
2010
129views more  TIP 2010»
13 years 2 months ago
Image Segmentation by MAP-ML Estimations
Abstract--Image segmentation plays an important role in computer vision and image analysis. In this paper, image segmentation is formulated as a labeling problem under a probabilit...
Shifeng Chen, Liangliang Cao, Yueming Wang, Jianzh...
GC
2007
Springer
13 years 7 months ago
Local Topological Toughness and Local Factors
We localize and strengthen Katona’s idea of an edge-toughness to a local topological toughness. We disprove a conjecture of Katona concerning the connection between edgetoughnes...
Frank Göring, Gyula Y. Katona