@inproceedings{f1f4e19f85654c7e881b0f8ea818d2a7,
title = "Smoothed analysis of partitioning algorithms for Euclidean functionals",
abstract = "Euclidean optimization problems such as TSP and minimum-length matching admit fast partitioning algorithms that compute near-optimal solutions on typical instances. We develop a general framework for the application of smoothed analysis to partitioning algorithms for Euclidean optimization problems. Our framework can be used to analyze both the running-time and the approximation ratio of such algorithms. We apply our framework to obtain smoothed analyses of Dyer and Frieze's partitioning algorithm for Euclidean matching, Karp's partitioning scheme for the TSP, a heuristic for Steiner trees, and a heuristic for degree-bounded minimum-length spanning trees.",
keywords = "METIS-278811, EWI-20544, IR-78129",
author = "Markus Bl{\"a}ser and Bodo Manthey and Rao, {B.V. Raghavendra}",
note = "10.1007/978-3-642-22300-6_10 ; 12th International Symposium on Algorithms and Data Structures, WADS 2011 ; Conference date: 15-08-2011 Through 17-08-2011",
year = "2011",
doi = "10.1007/978-3-642-22300-6_10",
language = "Undefined",
isbn = "978-3-642-22299-3",
series = "Lecture Notes in Computer Science",
publisher = "Springer",
pages = "110--121",
editor = "F. Dehne and J. Iacono and J.-R. Sack",
booktitle = "12th International Symposium on Algorithms and Data Structures, WADS 2011",
address = "Germany",
}