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STACS
2010
Springer
15 years 10 months 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
15 years 10 months 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
15 years 10 months 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
15 years 10 months 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
15 years 10 months 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
15 years 10 months 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
15 years 10 months 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
15 years 10 months 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
15 years 10 months 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