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» Bidimensionality and geometric graphs
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FAW
2009
Springer
177views Algorithms» more  FAW 2009»
14 years 2 months ago
Bounds on the Geometric Mean of Arc Lengths for Bounded-Degree Planar Graphs
Data access time becomes the main bottleneck in applications dealing with large-scale graphs. Cache-oblivious layouts, constructed to minimize the geometric mean of arc lengths of ...
Mohammad Khairul Hasan, Sung-Eui Yoon, Kyung-Yong ...
CORR
2008
Springer
98views Education» more  CORR 2008»
13 years 7 months ago
Void Traversal for Guaranteed Delivery in Geometric Routing
Geometric routing algorithms like GFG (GPSR) are lightweight, scalable algorithms that can be used to route in resource-constrained ad hoc wireless networks. However, such algorith...
Mikhail Nesterenko, Adnan Vora
WEA
2009
Springer
126views Algorithms» more  WEA 2009»
14 years 2 months ago
Measuring the Similarity of Geometric Graphs
What does it mean for two geometric graphs to be similar? We propose a distance for geometric graphs that we show to be a metric, and that can be computed by solving an integer li...
Otfried Cheong, Joachim Gudmundsson, Hyo-Sil Kim, ...
WADS
2007
Springer
82views Algorithms» more  WADS 2007»
14 years 1 months ago
On a Family of Strong Geometric Spanners That Admit Local Routing Strategies
We introduce a family of directed geometric graphs, denoted Gθ λ, that depend on two parameters λ and θ. For 0 ≤ θ < π 2 and 1 2 < λ < 1, the Gθ λ graph is a s...
Prosenjit Bose, Paz Carmi, Mathieu Couture, Michie...
WAW
2004
Springer
96views Algorithms» more  WAW 2004»
14 years 26 days ago
A Geometric Preferential Attachment Model of Networks
We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. The vertices of Gn are n sequentially generated points x1, ...
Abraham Flaxman, Alan M. Frieze, Juan Vera