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» Lower bounds on the obstacle number of graphs
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IPPS
1998
IEEE
14 years 1 days ago
Processor Lower Bound Formulas for Array Computations and Parametric Diophantine Systems
Using a directed acyclic graph (dag) model of algorithms, we solve a problem related to precedenceconstrained multiprocessor schedules for array computations: Given a sequence of ...
Peter R. Cappello, Ömer Egecioglu
ISAAC
2010
Springer
243views Algorithms» more  ISAAC 2010»
13 years 5 months ago
Lower Bounds for Howard's Algorithm for Finding Minimum Mean-Cost Cycles
Howard's policy iteration algorithm is one of the most widely used algorithms for finding optimal policies for controlling Markov Decision Processes (MDPs). When applied to we...
Thomas Dueholm Hansen, Uri Zwick
GC
2008
Springer
13 years 7 months ago
On the Acyclic Chromatic Number of Hamming Graphs
An acyclic coloring of a graph G is a proper coloring of the vertex set of G such that G contains no bichromatic cycles. The acyclic chromatic number of a graph G is the minimum nu...
Robert E. Jamison, Gretchen L. Matthews
DAM
2008
134views more  DAM 2008»
13 years 7 months ago
Efficient algorithms for finding critical subgraphs
This paper presents algorithms to find vertex-critical and edgecritical subgraphs in a given graph G, and demonstrates how these critical subgraphs can be used to determine the ch...
Christian Desrosiers, Philippe Galinier, Alain Her...
FOCS
2006
IEEE
14 years 1 months ago
Lower Bounds for Additive Spanners, Emulators, and More
An additive spanner of an unweighted undirected graph G with distortion d is a subgraph H such that for any two vertices u, v ∈ G, we have δH(u, v) ≤ δG(u, v) + d. For every...
David P. Woodruff