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» Convex Partitions with 2-Edge Connected Dual Graphs
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CCCG
2007
14 years 11 months ago
Disjoint Segments Have Convex Partitions with 2-Edge Connected Dual Graphs
The empty space around n disjoint line segments in the plane can be partitioned into n + 1 convex faces by extending the segments in some order. The dual graph of such a partition...
Nadia Benbernou, Erik D. Demaine, Martin L. Demain...
COCOON
2009
Springer
15 years 4 months ago
Convex Partitions with 2-Edge Connected Dual Graphs
It is shown that for every finite set of disjoint convex polygonal obstacles in the plane, with a total of n vertices, the free space around the obstacles can be partitioned into ...
Marwan Al-Jubeh, Michael Hoffmann, Mashhood Ishaqu...
ENDM
2008
142views more  ENDM 2008»
14 years 9 months ago
Augmenting the Connectivity of Planar and Geometric Graphs
In this paper we study some connectivity augmentation problems. Given a connected graph G with some desirable property, we want to make G 2-vertex connected (or 2-edge connected) ...
Ignaz Rutter, Alexander Wolff
91
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SIAMJO
2008
144views more  SIAMJO 2008»
14 years 9 months ago
Embedded in the Shadow of the Separator
Eigenvectors to the second smallest eigenvalue of the Laplace matrix of a graph, also known as Fiedler vectors, are the basic ingredient in spectral graph partitioning heuristics....
Frank Göring, Christoph Helmberg, Markus Wapp...
DAGM
2003
Springer
15 years 2 months ago
Hierarchy of Partitions with Dual Graph Contraction
Abstract. We present a hierarchical partitioning of images using a pairwise similarity function on a graph-based representation of an image. This function measures the difference ...
Yll Haxhimusa, Walter G. Kropatsch