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COMPGEOM
2006
ACM
14 years 2 months ago
On the maximum number of edges in topological graphs with no four pairwise crossing edges
A topological graph is called k-quasi-planar, if it does not contain k pairwise crossing edges. It is conjectured that for every fixed k, the maximum number of edges in a kquasi-...
Eyal Ackerman
ISCC
2006
IEEE
127views Communications» more  ISCC 2006»
14 years 2 months ago
Visualizing and Managing Network Topologies via Rectangular Dualization
Rectangular dualization is an effective, hierarchically oriented visualization method for network topologies and can be used in many other problems having in common with networks ...
Massimo Ancona, Walter Cazzola, Sara Drago, Gianlu...
TIT
2008
122views more  TIT 2008»
13 years 8 months ago
Identifying Codes and Covering Problems
The identifying code problem for a given graph involves finding a minimum set of vertices whose neighborhoods uniquely overlap at any given graph vertex. Initially introduced in 1...
Moshe Laifenfeld, Ari Trachtenberg
FOCS
2003
IEEE
14 years 1 months ago
On Certain Connectivity Properties of the Internet Topology
We show that random graphs in the preferential connectivity model have constant conductance, and hence have worst-case routing congestion that scales logarithmically with the numb...
Milena Mihail, Christos H. Papadimitriou, Amin Sab...