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ALGORITHMICA

2006

12 years 9 months ago
2006

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)...

ALGORITHMICA

2006

12 years 9 months ago
2006

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...

ALGORITHMICA

2006

12 years 9 months ago
2006

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...

ALGORITHMICA

2006

12 years 9 months ago
2006

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...

ALGORITHMICA

2006

12 years 9 months ago
2006

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...

ALGORITHMICA

2006

12 years 9 months ago
2006

ALGORITHMICA

2006

12 years 9 months ago
2006

ALGORITHMICA

2006

12 years 9 months ago
2006

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...

ALGORITHMICA

2006

12 years 9 months ago
2006

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 ...

ALGORITHMICA

2006

12 years 9 months ago
2006

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...