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» Random Geometric Graph Diameter in the Unit Ball
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COMGEO
1999
ACM
13 years 11 months ago
Dynamic algorithms for geometric spanners of small diameter: Randomized solutions
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid
WAW
2007
Springer
122views Algorithms» more  WAW 2007»
14 years 5 months ago
A Geometric Preferential Attachment Model of Networks II
We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. This model yields a graph with power-law degree distributio...
Abraham D. Flaxman, Alan M. Frieze, Juan Vera
ADHOCNOW
2008
Springer
14 years 9 days ago
Communication in Random Geometric Radio Networks with Positively Correlated Random Faults
Abstract. We study the feasibility and time of communication in random geometric radio networks, where nodes fail randomly with positive correlation. We consider a set of radio sta...
Evangelos Kranakis, Michel Paquette, Andrzej Pelc
DIALM
2008
ACM
179views Algorithms» more  DIALM 2008»
14 years 29 days ago
Distance graphs: from random geometric graphs to Bernoulli graphs and between
A random geometric graph G(n, r) is a graph resulting from placing n points uniformly at random on the unit area disk, and connecting two points iff their Euclidean distance is at ...
Chen Avin
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
12 years 1 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh