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» Plane and Planarity Thresholds for Random Geometric Graphs
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DCG
2007
102views more  DCG 2007»
14 years 10 months ago
How to Exhibit Toroidal Maps in Space
Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
Dan Archdeacon, C. Paul Bonnington, Joanna A. Elli...
SPAA
2005
ACM
15 years 3 months ago
Oblivious routing on geometric networks
We study oblivious routing in which the packet paths are constructed independently of each other. We give a simple oblivious routing algorithm for geometric networks in which the ...
Costas Busch, Malik Magdon-Ismail, Jing Xi
SODA
2007
ACM
76views Algorithms» more  SODA 2007»
14 years 11 months ago
An unbiased pointing operator for unlabeled structures, with applications to counting and sampling
We introduce a general method to count and randomly sample unlabeled combinatorial structures. The approach is based on pointing unlabeled structures in an “unbiased” way, i.e...
Manuel Bodirsky, Éric Fusy, Mihyun Kang, St...
TCOM
2010
109views more  TCOM 2010»
14 years 8 months ago
Results on Finite Wireless Networks on a Line
Abstract— Today, due to the vast amount of literature on largescale wireless networks, we have a fair understanding of the asymptotic behavior of such networks. However, in real ...
Ali Eslami, Mohammad Nekoui, Hossein Pishro-Nik
WADS
1993
Springer
163views Algorithms» more  WADS 1993»
15 years 2 months ago
Minimum Weight Euclidean Matching and Weighted Relative Neighborhood Graphs
The Minimum Weight Euclidean Matching (MWEM) problem is: given 2n point sites in the plane with Euclidean metric for interpoint distances, match the sites into n pairs so that the...
Andy Mirzaian