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SODA
2004
ACM
128views Algorithms» more  SODA 2004»
13 years 9 months ago
Equivalence of local treewidth and linear local treewidth and its algorithmic applications
We solve an open problem posed by Eppstein in 1995 [14, 15] and re-enforced by Grohe [16, 17] concerning locally bounded treewidth in minor-closed families of graphs. A graph has ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
AAIM
2006
Springer
222views Algorithms» more  AAIM 2006»
14 years 1 months ago
Connected Set Cover Problem and Its Applications
Abstract. We study an extension of the set cover problem, the connected set cover problem, the problem is to find a set cover of minimal size that satisfies some connectivity con...
Tianping Shuai, Xiao-Dong Hu
ECCC
2000
93views more  ECCC 2000»
13 years 7 months ago
Improved Approximation of MAX-CUT on Graphs of Bounded Degree
We analyze the addition of a simple local improvement step to various known randomized approximation algorithms. Let ' 0:87856 denote the best approximation ratio currently k...
Uriel Feige, Marek Karpinski, Michael Langberg
IPMI
2001
Springer
14 years 8 months ago
A Sequential 3D Thinning Algorithm and Its Medical Applications
Skeleton is a frequently applied shape feature to represent the general form of an object. Thinning is an iterative object reduction technique for producing a reasonable approximat...
Kálmán Palágyi, Erich Soranti...
WDAG
1990
Springer
80views Algorithms» more  WDAG 1990»
13 years 11 months ago
Tight Bounds on the Round Complexity of Distributed 1-Solvable Tasks
A distributed task T is 1-solvable if there exists a protocol that solves it in the presence of (at most) one crash failure. A precise characterization of the 1-solvable tasks was...
Ofer Biran, Shlomo Moran, Shmuel Zaks