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SWAT
1992
Springer
104views Algorithms» more  SWAT 1992»
15 years 1 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
15 years 2 months 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»
14 years 9 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»
15 years 3 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»
14 years 9 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