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» Lower and upper bounds on obtaining history independence
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SODA
2010
ACM
235views Algorithms» more  SODA 2010»
15 years 7 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...
BMCBI
2007
153views more  BMCBI 2007»
14 years 9 months ago
Lower bounds on multiple sequence alignment using exact 3-way alignment
Background: Multiple sequence alignment is fundamental. Exponential growth in computation time appears to be inevitable when an optimal alignment is required for many sequences. E...
Charles J. Colbourn, Sudhir Kumar
CORR
2006
Springer
176views Education» more  CORR 2006»
14 years 9 months ago
On the Fingerprinting Capacity Under the Marking Assumption
Abstract--We address the maximum attainable rate of fingerprinting codes under the marking assumption, studying lower and upper bounds on the value of the rate for various sizes of...
N. Prasanth Anthapadmanabhan, Alexander Barg, Ilya...
DAM
2007
141views more  DAM 2007»
14 years 9 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
75
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FOCS
2008
IEEE
15 years 4 months ago
Submodular Approximation: Sampling-based Algorithms and Lower Bounds
We introduce several generalizations of classical computer science problems obtained by replacing simpler objective functions with general submodular functions. The new problems i...
Zoya Svitkina, Lisa Fleischer