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WG
2010
Springer
13 years 5 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
12 years 10 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»
14 years 1 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»
13 years 7 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»
13 years 7 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