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PODC
2004
ACM
14 years 1 months ago
Analyzing Kleinberg's (and other) small-world Models
We analyze the properties of Small-World networks, where links are much more likely to connect “neighbor nodes” than distant nodes. In particular, our analysis provides new re...
Charles U. Martel, Van Nguyen
STACS
2007
Springer
14 years 1 months ago
Small Space Representations for Metric Min-Sum k -Clustering and Their Applications
The min-sum k-clustering problem is to partition a metric space (P, d) into k clusters C1, . . . , Ck ⊆ P such that k i=1 p,q∈Ci d(p, q) is minimized. We show the first effi...
Artur Czumaj, Christian Sohler
WADS
2001
Springer
126views Algorithms» more  WADS 2001»
14 years 12 hour ago
On External-Memory Planar Depth First Search
Even though a large number of I/O-efficient graph algorithms have been developed, a number of fundamental problems still remain open. For example, no space- and I/O-efficient algo...
Lars Arge, Ulrich Meyer, Laura Toma, Norbert Zeh
IPPS
2002
IEEE
14 years 15 days ago
An Associative Static and Dynamic Convex Hull Algorithm
This paper presents a new static and dynamic recursive parallel algorithm for the convex hull problem. This algorithm is a parallel adaptation of the Graham Scan and Quick Hull al...
Maher M. Atwah, Johnnie W. Baker
JC
2008
77views more  JC 2008»
13 years 7 months ago
A numerical algorithm for zero counting, I: Complexity and accuracy
We describe an algorithm to count the number of distinct real zeros of a polynomial (square) system f. The algorithm performs O(log(nD(f))) iterations (grid refinements) where n is...
Felipe Cucker, Teresa Krick, Gregorio Malajovich, ...