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STACS
2010
Springer
14 years 7 days ago
Two-phase Algorithms for the Parametric Shortest Path Problem
Abstract. A parametric weighted graph is a graph whose edges are labeled with continuous real functions of a single common variable. For any instantiation of the variable, one obta...
Sourav Chakraborty, Eldar Fischer, Oded Lachish, R...
STACS
2010
Springer
14 years 7 days ago
Beyond Bidimensionality: Parameterized Subexponential Algorithms on Directed Graphs
In 2000 Alber et al. [SWAT 2000 ] obtained the first parameterized subexponential algorithm on undirected planar graphs by showing that k-DOMINATING SET is solvable in time 2O( ...
Frederic Dorn, Fedor V. Fomin, Daniel Lokshtanov, ...
STACS
2010
Springer
14 years 7 days ago
Evolving Multialgebras Unify All Usual Sequential Computation Models
Abstract. It is well-known that Abstract State Machines (ASMs) can simulate “stepby-step” any type of machines (Turing machines, RAMs, etc.). We aim to overcome two facts: 1) s...
Serge Grigorieff, Pierre Valarcher
STACS
2010
Springer
14 years 7 days ago
Dispersion in Unit Disks
We present two new approximation algorithms with (improved) constant ratios for selecting n points in n unit disks such that the minimum pairwise distance among the points is maxi...
Adrian Dumitrescu, Minghui Jiang
STACS
2010
Springer
14 years 7 days ago
Unsatisfiable Linear CNF Formulas Are Large and Complex
We call a CNF formula linear if any two clauses have at most one variable in common. We show that there exist unsatisfiable linear k-CNF formulas with at most 4k2 4k clauses, and ...
Dominik Scheder
STACS
2010
Springer
14 years 7 days ago
Exact Covers via Determinants
Given a k-uniform hypergraph on n vertices, partitioned in k equal parts such that every hyperedge includes one vertex from each part, the k-Dimensional Matching problem asks wheth...
Andreas Björklund
STACS
2010
Springer
14 years 7 days ago
Log-space Algorithms for Paths and Matchings in k-trees
Reachability and shortest path problems are NL-complete for general graphs. They are known to be in L for graphs of tree-width 2 [14]. However, for graphs of treewidth larger than ...
Bireswar Das, Samir Datta, Prajakta Nimbhorkar
STACS
2010
Springer
14 years 7 days ago
On Optimal Heuristic Randomized Semidecision Procedures, with Application to Proof Complexity
The existence of a (p-)optimal propositional proof system is a major open question in (proof) complexity; many people conjecture that such systems do not exist. Kraj´ıˇcek and P...
Edward A. Hirsch, Dmitry Itsykson
STACS
2010
Springer
14 years 7 days ago
Robust Fault Tolerant Uncapacitated Facility Location
In the uncapacitated facility location problem, given a graph, a set of demands and opening costs, it is required to find a set of facilities R, so as to minimize the sum of the c...
Shiri Chechik, David Peleg