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ESA
2004
Springer
95views Algorithms» more  ESA 2004»
13 years 10 months ago
On Dynamic Shortest Paths Problems
We obtain the following results related to dynamic versions of the shortest-paths problem: (i) Reductions that show that the incremental and decremental singlesource shortest-paths...
Liam Roditty, Uri Zwick
ESA
2004
Springer
97views Algorithms» more  ESA 2004»
13 years 10 months ago
On Adaptive Integer Sorting
This paper considers integer sorting on a RAM. We show that adaptive sorting of a sequence with qn inversions is asymptotically equivalent to multisorting groups of at most q keys...
Anna Pagh, Rasmus Pagh, Mikkel Thorup
ESA
2004
Springer
120views Algorithms» more  ESA 2004»
13 years 10 months ago
Maximum Matchings in Planar Graphs via Gaussian Elimination
We present a randomized algorithm for finding maximum matchings in planar graphs in time O(nω/2 ), where ω is the exponent of the best known matrix multiplication algorithm. Sin...
Marcin Mucha, Piotr Sankowski
ESA
2004
Springer
120views Algorithms» more  ESA 2004»
13 years 10 months ago
Solving Geometric Covering Problems by Data Reduction
We consider a scenario where stops are to be placed along an already existing public transportation network in order to improve its attractiveness for the customers. The core probl...
Steffen Mecke, Dorothea Wagner
ESA
2004
Springer
145views Algorithms» more  ESA 2004»
13 years 10 months ago
Flows on Few Paths: Algorithms and Lower Bounds
Abstract. Classical network flow theory allows decomposition of flow into several chunks of arbitrary sizes traveling through the network on different paths. In the first part ...
Maren Martens, Martin Skutella
ESA
2004
Springer
132views Algorithms» more  ESA 2004»
13 years 10 months ago
Seeking a Vertex of the Planar Matching Polytope in NC
For planar graphs, counting the number of perfect matchings (and hence determining whether there exists a perfect matching) can be done in NC [4, 10]. For planar bipartite graphs, ...
Raghav Kulkarni, Meena Mahajan
ESA
2004
Springer
97views Algorithms» more  ESA 2004»
13 years 10 months ago
Radio Network Clustering from Scratch
Abstract. We propose a novel randomized algorithm for computing a dominating set based clustering in wireless ad-hoc and sensor networks. The algorithm works under a model which ca...
Fabian Kuhn, Thomas Moscibroda, Roger Wattenhofer
ESA
2004
Springer
106views Algorithms» more  ESA 2004»
13 years 10 months ago
On Rectangular Cartograms
Marc J. van Kreveld, Bettina Speckmann
ESA
2004
Springer
127views Algorithms» more  ESA 2004»
13 years 10 months ago
Approximate Unions of Lines and Minkowski Sums
Marc J. van Kreveld, A. Frank van der Stappen
ESA
2004
Springer
137views Algorithms» more  ESA 2004»
13 years 10 months ago
Fast 3-Coloring Triangle-Free Planar Graphs
We show the first o(n2 ) algorithm for coloring vertices of trianglefree planar graphs using three colors. The time complexity of the algorithm is O(n log n). Our approach can be ...
Lukasz Kowalik