Search Results - purely combinatorial polynomial algorithms
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Newton-type algorithms for inverse optimization: weighted bottleneck Hamming distance and ℓ ∞ -norm objectives
ISSN: 1862-4472, 1862-4480Published: Germany Springer Nature B.V 01.11.2025Published in Optimization letters (01.11.2025)“…In inverse optimization problems, we are given a feasible solution to an underlying optimization problem, and the goal is to modify the problem parameters so…”
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A network flow approach to a common generalization of Clar and Fries numbers
ISSN: 0012-365X, 1872-681XPublished: Elsevier B.V 01.11.2024Published in Discrete mathematics (01.11.2024)“… The construction makes it possible to apply any standard cheapest network flow algorithm…”
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Purely Combinatorial Algorithms for Approximate Directed Minimum Degree Spanning Trees
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 27.05.2019Published in arXiv.org (27.05.2019)“…)\) [Krishnan and Raghavachari, 2001] but the running time is quasi-polynomial. In this paper, we focus on purely combinatorial algorithms and try to bridge the gap between LP…”
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Dynamic Assignment in Distributed Motion Planning With Local Coordination
ISSN: 1552-3098, 1941-0468Published: New York, NY IEEE 01.02.2008Published in IEEE transactions on robotics (01.02.2008)“… In particular, in applications such as coverage by mobile sensor networks or multiple target tracking, a great new challenge is the development of motion planning algorithms that dynamically assign…”
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An efficient algorithm for packing cuts and (2,3)-metrics in a planar graph with three holes
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 19.03.2018Published in arXiv.org (19.03.2018)“… We develop a strongly polynomial purely combinatorial algorithm to find such a packing…”
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A 0.821-ratio purely combinatorial algorithm for maximum \(k\)-vertex cover in bipartite graphs
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 04.04.2015Published in arXiv.org (04.04.2015)“… We study the polynomial approximation of the Maximum Vertex Cover Problem in bipartite graphs by a purely combinatorial algorithm and present a computer assisted analysis of it, that finds the worst…”
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Quasi-Polynomial Time Approximation Schemes for Packing and Covering Problems in Planar Graphs
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.06.2020Published in Algorithmica (01.06.2020)“…We consider two optimization problems in planar graphs. In Maximum Weight Independent Set of Objects we are given a graph G and a family D of objects , each…”
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A combinatorial algorithm for the planar multiflow problem with demands located on three holes
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 27.10.2014Published in arXiv.org (27.10.2014)“… We develop a purely combinatorial strongly polynomial solution algorithm…”
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Tractable Algorithms for Robust Model Estimation
ISSN: 0920-5691, 1573-1405, 1573-1405Published: Boston Springer US 01.03.2015Published in International journal of computer vision (01.03.2015)“… In a similar vein, it is also shown how to transform a multi-model estimation problem into a purely combinatorial one…”
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Integrality of Linearizations of Polynomials over Binary Variables using Additional Monomials
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 15.05.2020Published in arXiv.org (15.05.2020)“…). We also present an algorithm that finds these extra monomials for a given polynomial to yield an integral relaxation polytope or determines that no such set of extra monomials exists…”
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Newton-type algorithms for inverse optimization: weighted bottleneck Hamming distance and ℓ∞-norm objectives: Newton-type algorithms for inverse optimization
ISSN: 1862-4472, 1862-4480Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2025Published in Optimization letters (01.11.2025)“…In inverse optimization problems, we are given a feasible solution to an underlying optimization problem, and the goal is to modify the problem parameters so…”
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A Meeting Point of Probability, Graphs, and Algorithms: The Lovász Local Lemma and Related Results—A Survey
ISSN: 1999-4893, 1999-4893Published: Basel MDPI AG 01.12.2021Published in Algorithms (01.12.2021)“… A fascinating feature of this result is that even though it is a purely probabilistic statement, it provides a valuable and versatile tool for proving completely deterministic theorems…”
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A new perspective on single-machine scheduling problems with late work related criteria
ISSN: 0254-5330, 1572-9338Published: New York Springer US 01.03.2023Published in Annals of operations research (01.03.2023)“…This paper provides two new perspectives on single-machine scheduling problems in which the objective involves penalties regarding late work. Both of this…”
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Newton-type algorithms for inverse optimization I: weighted bottleneck Hamming distance and \(\ell_\infty\)-norm objectives
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 28.02.2023Published in arXiv.org (28.02.2023)“… For the weighted bottleneck Hamming distance objective, we present a simple, purely combinatorial…”
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Newton-type algorithms for inverse optimization: weighted bottleneck Hamming distance and $$\ell _\infty$$-norm objectives
ISSN: 1862-4472, 1862-4480Published: 01.11.2025Published in Optimization letters (01.11.2025)“…In inverse optimization problems, we are given a feasible solution to an underlying optimization problem, and the goal is to modify the problem parameters so…”
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Fine costs for Euclid's algorithm on polynomials and Farey maps
ISSN: 0196-8858, 1090-2074Published: Elsevier Inc 01.03.2014Published in Advances in applied mathematics (01.03.2014)“…This paper studies digit-cost functions for the Euclid algorithm on polynomials with coefficients in a finite field, in terms of the number of operations performed on the finite field Fq…”
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Metric Violation Distance: Hardness and Approximation
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.05.2022Published in Algorithmica (01.05.2022)“…Metric data plays an important role in various settings, for example, in metric-based indexing, clustering, classification, and approximation algorithms in general…”
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An Experimental Study of Forbidden Patterns in Geometric Permutations by Combinatorial Lifting
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 07.03.2019Published in arXiv.org (07.03.2019)“…\). We show that this question, which is equivalent to deciding the emptiness of certain semi-algebraic sets bounded by cubic polynomials, can be "lifted" to a purely combinatorial problem…”
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An experimental study of forbidden patterns in geometric permutations by combinatorial lifting
ISSN: 1920-180X, 1920-180XPublished: Carleton University, Computational Geometry Laboratory 07.01.2021Published in Journal of computational geometry (07.01.2021)“…, can be ``lifted'' to a purely combinatorial problem. We propose an effective algorithm for that problem, and use it to gain new insights into the structure of geometric permutations…”
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On Combinatorial Approximation of Covering 0-1 Integer Programs and Partial Set Cover
ISSN: 1382-6905, 1573-2886Published: Norwell, MA Springer 01.12.2004Published in Journal of combinatorial optimization (01.12.2004)Get full text
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