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COMPGEOM
2010
ACM
15 years 4 months ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl
COCOON
2005
Springer
15 years 5 months ago
On the Complexity of the Balanced Vertex Ordering Problem
We consider the problem of finding a balanced ordering of the vertices of a graph. More precisely, we want to minimise the sum, taken over all vertices v, of the difference betwe...
Jan Kára, Jan Kratochvíl, David R. W...
INFOCOM
2008
IEEE
15 years 6 months ago
Robust Planarization of Unlocalized Wireless Sensor Networks
Abstract—Wireless sensor networks need very efficient network protocols due to the sensors’ limited communication and computation capabilities. Network planarization – find...
Fenghui Zhang, Anxiao Jiang, Jianer Chen
RSA
2010
91views more  RSA 2010»
14 years 10 months ago
The second largest component in the supercritical 2D Hamming graph
The 2-dimensional Hamming graph H(2, n) consists of the n2 vertices (i, j), 1 ≤ i, j ≤ n, two vertices being adjacent when they share a common coordinate. We examine random sub...
Remco van der Hofstad, Malwina J. Luczak, Joel Spe...
SODA
2008
ACM
70views Algorithms» more  SODA 2008»
15 years 1 months ago
Optimal universal graphs with deterministic embedding
Let H be a finite family of graphs. A graph G is H-universal if it contains a copy of each H H as a subgraph. Let H(k, n) denote the family of graphs on n vertices with maximum d...
Noga Alon, Michael R. Capalbo