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ALGORITHMICA
2006
160views more  ALGORITHMICA 2006»
13 years 11 months ago
Combinatorial Algorithms for the Unsplittable Flow Problem
We provide combinatorial algorithms for the unsplittable flow problem (UFP) that either match or improve the previously best results. In the UFP we are given a (possibly directed)...
Yossi Azar, Oded Regev
ALGORITHMICA
2006
84views more  ALGORITHMICA 2006»
13 years 11 months ago
Large Deviations for the Weighted Height of an Extended Class of Trees
We use large deviations to prove a general theorem on the asymptotic edge-weighted height Hn of a large class of random trees for which Hn c log n for some positive constant c. A...
Nicolas Broutin, Luc Devroye
ALGORITHMICA
2006
63views more  ALGORITHMICA 2006»
13 years 11 months ago
A Local Limit Theorem in the Theory of Overpartitions
Abstract. An overpartition of an integer n is a partition where the last occurrence of a part can be overlined. We study the weight of the overlined parts of an overpartition count...
Sylvie Corteel, William M. Y. Goh, Pawel Hitczenko
ALGORITHMICA
2006
90views more  ALGORITHMICA 2006»
13 years 11 months ago
Destruction of Very Simple Trees
We consider the total cost of cutting down a random rooted tree chosen from a family of so-called very simple trees (which include ordered trees, d-ary trees, and Cayley trees); th...
James Allen Fill, Nevin Kapur, Alois Panholzer
ALGORITHMICA
2006
161views more  ALGORITHMICA 2006»
13 years 11 months ago
The Expected Size of the Rule k Dominating Set
Dai, Li, and Wu proposed Rule k, a localized approximation algorithm that attempts to find a small connected dominating set in a graph. In this paper we consider the "average...
Jennie C. Hansen, Eric Schmutz, Li Sheng
ALGORITHMICA
2006
90views more  ALGORITHMICA 2006»
13 years 11 months ago
Average-Case Analysis of Approximate Trie Search
Moritz G. Maaß
ALGORITHMICA
2006
79views more  ALGORITHMICA 2006»
13 years 11 months ago
Parallel Computation of High-Dimensional Robust Correlation and Covariance Matrices
James Chilson, Raymond T. Ng, Alan Wagner, Ruben H...
ALGORITHMICA
2006
149views more  ALGORITHMICA 2006»
13 years 11 months ago
Partial Lifting and the Elliptic Curve Discrete Logarithm Problem
It has been suggested that a major obstacle in finding an index calculus attack on the elliptic curve discrete logarithm problem lies in the difficulty of lifting points from ellip...
Qi Cheng, Ming-Deh A. Huang
ALGORITHMICA
2006
174views more  ALGORITHMICA 2006»
13 years 11 months ago
Profiles of Random Trees: Limit Theorems for Random Recursive Trees and Binary Search Trees
We prove convergence in distribution for the profile (the number of nodes at each level), normalized by its mean, of random recursive trees when the limit ratio of the level and ...
Michael Fuchs, Hsien-Kuei Hwang, Ralph Neininger
ALGORITHMICA
2006
74views more  ALGORITHMICA 2006»
13 years 11 months ago
On the Number of t-Ary Trees with a Given Path Length
We show that the number of t-ary trees with path length equal to p is t h(t-1) tp log2 p(1+o(1)) , where h(x)=-x log2 x-(1-x) log2(1-x) is the binary entropy function. Besides its...
Gadiel Seroussi