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ISAAC
2009
Springer
98views Algorithms» more  ISAAC 2009»
14 years 4 months ago
New Bounds on the Average Distance from the Fermat-Weber Center of a Planar Convex Body
The Fermat-Weber center of a planar body Q is a point in the plane from which the average distance to the points in Q is minimal. We first show that for any convex body Q in the ...
Adrian Dumitrescu, Csaba D. Tóth
DM
2008
78views more  DM 2008»
13 years 9 months ago
Planarization and fragmentability of some classes of graphs
The coefficient of fragmentability of a class of graphs measures the proportion of vertices that need to be removed from the graphs in the class in order to leave behind bounded s...
Keith Edwards, Graham Farr
WADS
2005
Springer
95views Algorithms» more  WADS 2005»
14 years 3 months ago
Improved Approximation Bounds for Planar Point Pattern Matching
We analyze the performance of simple algorithms for matching two planar point sets under rigid transformations so as to minimize the directed Hausdorff distance between the sets....
Minkyoung Cho, David M. Mount
APPROX
2004
Springer
135views Algorithms» more  APPROX 2004»
14 years 3 months ago
The Diameter of Randomly Perturbed Digraphs and Some Applications.
The central observation of this paper is that if ǫn random arcs are added to any n-node strongly connected digraph with bounded degree then the resulting graph has diameter O(ln ...
Abraham Flaxman, Alan M. Frieze
JNW
2008
75views more  JNW 2008»
13 years 9 months ago
Time Efficient Radio Broadcasting in Planar Graphs
Abstract-- We study the communication primitive of broadcasting (one-to-all communication) in known topology radio networks, i.e., where for each primitive the schedule of transmis...
Fredrik Manne, Qin Xin