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ALT
2007
Springer
15 years 5 months ago
Cluster Identification in Nearest-Neighbor Graphs
Abstract. Assume we are given a sample of points from some underlying distribution which contains several distinct clusters. Our goal is to construct a neighborhood graph on the sa...
Markus Maier, Matthias Hein, Ulrike von Luxburg
SIAMDM
2010
89views more  SIAMDM 2010»
14 years 8 months ago
Routing Numbers of Cycles, Complete Bipartite Graphs, and Hypercubes
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
Wei-Tian Li, Linyuan Lu, Yiting Yang
98
Voted
GD
1999
Springer
15 years 6 months ago
Visibility Representations of Complete Graphs
Abstract. In this paper we study 3-dimensional visibility representations of complete graphs. The vertices are represented by equal regular polygons lying in planes parallel to the...
Robert Babilon, Helena Nyklová, Ondrej Pang...
138
Voted
COLOGNETWENTE
2010
14 years 10 months ago
A Branch-and-price Approach to the k-Clustering Minimum Biclique Completion Problem
Given a bipartite graph G = (S, T, E), we consider the problem of finding k bipartite subgraphs, called "clusters", such that each vertex i of S appears in exactly one o...
Stefano Gualandi, Francesco Maffioli, Claudio Magn...
JCT
2010
135views more  JCT 2010»
15 years 8 days ago
Countable connected-homogeneous graphs
Abstract. A graph is connected-homogeneous if any isomorphism between finite connected induced subgraphs extends to an automorphism of the graph. In this paper we classify the cou...
Robert Gray, D. Macpherson