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SWAT
1992
Springer
104views Algorithms» more  SWAT 1992»
13 years 11 months ago
Low-Diameter Graph Decomposition is in NC
We obtain the rst NC algorithm for the low-diameter graph decomposition problem on arbitrary graphs. Our algorithm runs in O(log5 (n)) time, and uses O(n2) processors.
Baruch Awerbuch, Bonnie Berger, Lenore Cowen, Davi...
GD
2003
Springer
14 years 18 days ago
An Energy Model for Visual Graph Clustering
We introduce an energy model whose minimum energy drawings reveal the clusters of the drawn graph. Here a cluster is a set of nodes with many internal edges and few edges to nodes ...
Andreas Noack
DM
2007
136views more  DM 2007»
13 years 7 months ago
Lower connectivities of regular graphs with small diameter
Krishnamoorthy, Thulasiraman and Swamy [Minimum order graphs with specified diameter, connectivity and regularity, Networks 19 (1989) 25–46] showed that a δ-regular graph with...
Camino Balbuena, Xavier Marcote
WADS
2007
Springer
104views Algorithms» more  WADS 2007»
14 years 1 months ago
Faster Approximation of Distances in Graphs
Let G = (V, E) be an weighted undirected graph on n vertices and m edges, and let dG be its shortest path metric. We present two simple deterministic algorithms for approximating ...
Piotr Berman, Shiva Prasad Kasiviswanathan
COMBINATORICS
2006
153views more  COMBINATORICS 2006»
13 years 7 months ago
The Absence of Efficient Dual Pairs of Spanning Trees in Planar Graphs
A spanning tree T in a finite planar connected graph G determines a dual spanning tree T in the dual graph G such that T and T do not intersect. We show that it is not always poss...
T. R. Riley, William P. Thurston