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WG
2010
Springer
14 years 8 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
GC
2011
Springer
14 years 1 months ago
Minimum Clique Partition in Unit Disk Graphs
The minimum clique partition (MCP) problem is that of partitioning the vertex set of a given graph into a minimum number of cliques. Given n points in the plane, the corresponding...
Adrian Dumitrescu, János Pach
SMI
2006
IEEE
108views Image Analysis» more  SMI 2006»
15 years 3 months ago
Segmenting Point Sets
There is a growing need to extract features from point sets for purposes like model classification, matching, and exploration. We introduce a technique for segmenting a point-sam...
Ichitaro Yamazaki, Vijay Natarajan, Zhaojun Bai, B...
ALGORITHMICA
2006
161views more  ALGORITHMICA 2006»
14 years 9 months ago
The Expected Size of the Rule k Dominating Set
Dai, Li, and Wu proposed Rule k, a localized approximation algorithm that attempts to find a small connected dominating set in a graph. In this paper we consider the "average...
Jennie C. Hansen, Eric Schmutz, Li Sheng
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