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» Approximating Rooted Connectivity Augmentation Problems
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ESA
2005
Springer
145views Algorithms» more  ESA 2005»
14 years 1 months ago
Approximation Schemes for Minimum 2-Connected Spanning Subgraphs in Weighted Planar Graphs
Abstract. We present new approximation schemes for various classical problems of finding the minimum-weight spanning subgraph in edge-weighted undirected planar graphs that are re...
André Berger, Artur Czumaj, Michelangelo Gr...
MFCS
2007
Springer
14 years 1 months ago
On Approximation of Bookmark Assignments
Consider a rooted directed acyclic graph G = (V, E) with root r, representing a collection V of web pages connected via a set E of hyperlinks. Each node v is associated with the pr...
Yuichi Asahiro, Eiji Miyano, Toshihide Murata, Hir...
STOC
2007
ACM
83views Algorithms» more  STOC 2007»
14 years 7 months ago
Lattices that admit logarithmic worst-case to average-case connection factors
We demonstrate an average-case problem that is as hard as finding (n)-approximate shortest vectors in certain n-dimensional lattices in the worst case, where (n) = O( log n). The...
Chris Peikert, Alon Rosen
ESA
2004
Springer
125views Algorithms» more  ESA 2004»
14 years 25 days ago
Approximation Algorithms for Quickest Spanning Tree Problems
Let G = (V, E) be an undirected multi-graph with a special vertex root ∈ V , and where each edge e ∈ E is endowed with a length l(e) ≥ 0 and a capacity c(e) > 0. For a pa...
Refael Hassin, Asaf Levin
SIAMCOMP
2008
167views more  SIAMCOMP 2008»
13 years 7 months ago
Approximation Algorithms for Data Placement Problems
We develop approximation algorithms for the problem of placing replicated data in arbitrary networks, where the nodes may both issue requests for data objects and have capacity fo...
Ivan D. Baev, Rajmohan Rajaraman, Chaitanya Swamy