randomized algorithmdivide-and-conquerpathmatchingset packingWe propose a randomized divide-and-conquer technique that leads to improved randomized and deterministic algorithms for NP-hard path, matching, and packing problems. For the parameterized max-path problem, our randomized algorithm runs in time ...
Section 3 presents the divide-and-conquer algorithm. Section 4 illustrates the two auxiliary algorithms, and Section 5 concludes. 2. Preliminaries 2.1. Formulation For a compact subset X⊂R2, let X‾ and ∂X be the closure and the boundary of X, respectively. Definition 1 The order-k ...
A simple randomized divide-and-conquer algorithm, with Omn+nlogn) expected running time, was recently proposed by Agarwal et al. [20]. Using random sampling, they improved the expected running time to Om2/3n2/3log2/3n/m+m+nlogn. If we are interested in computing the incidences between...
A randomized divide and conquer algorithm for higher-order abstract Voronoi diagrams. Computational Geometry: Theory and Applications, 59(C):26-38, 2016. doi:10.1016/j.comgeo.2016.08.004.Cecilia Bohler, Rolf Klein, and Chih-Hung Liu. An efficient randomized algorithm for higher-order abstract ...
A randomized divide and conquer algorithm for higher-order abstract Voronoi diagrams. Computational Geometry: Theory and Applications, 59(C):26-38, 2016. doi:10.1016/j.comgeo.2016.08.004.Cecilia Bohler, Rolf Klein, and Chih-Hung Liu. An efficient randomized algorithm for higher-order abstract ...
Computational geometry: Theory and applicationsC. Bohler, C. H. Liu, E. Papadopoulou, and M. Zavershynskyi. A randomized divide and conquer algorithm for higher-order abstract Voronoi diagrams. Computational Geometry: Theory and Applications, 59(C):26-38, 2016....
A related approach leads to a randomized divide-and-conquer algorithm producing an approximately maximum flow in $ilde{O}(m\\sqrt{n})$ time. Our algorithm can also be used to improve the running time of sparsest cut approximation algorithms from $ilde{O}(mn)$ to $ilde{O}(n^2)$ ...
The algorithm utilizes random rotations and a basic divide-and-conquer scheme, followed by a local graph search. We analyze the schemeʼs behavior for normally distributed points { x j } , and illustrate its performance via several numerical examples.Peter...
Divide-and-conquerThis paper presents a very simple incremental randomized algorithm for computing the trapezoidal decomposition induced by a set S of n line segments in the plane. If S is given as a simple polygonal chain the expected running time of the algorithm is O(n log n). This ...
A randomized divide and conquer algorithm for higher-order abstract Voronoi diagrams. Computational Geometry: Theory and Applications, 59(C):26-38, 2016. doi:10.1016/j.comgeo.2016.08.004.Cecilia Bohler, Rolf Klein, and Chih-Hung Liu. An efficient randomized algorithm for higher-order abstract ...