Search Results - purely combinatorial polynomial algorithms

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  1. 1

    Newton-type algorithms for inverse optimization: weighted bottleneck Hamming distance and ℓ ∞ -norm objectives by Bérczi, Kristóf, Mendoza-Cadena, Lydia Mirabel, Varga, Kitti

    ISSN: 1862-4472, 1862-4480
    Published: Germany Springer Nature B.V 01.11.2025
    Published 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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    Journal Article
  2. 2

    A network flow approach to a common generalization of Clar and Fries numbers by Bérczi-Kovács, Erika, Frank, András

    ISSN: 0012-365X, 1872-681X
    Published: Elsevier B.V 01.11.2024
    Published in Discrete mathematics (01.11.2024)
    “… The construction makes it possible to apply any standard cheapest network flow algorithm…”
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    Journal Article
  3. 3

    Purely Combinatorial Algorithms for Approximate Directed Minimum Degree Spanning Trees by Duan, Ran, Zhang, Tianyi

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 27.05.2019
    Published 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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  4. 4

    Dynamic Assignment in Distributed Motion Planning With Local Coordination by Zavlanos, M.M., Pappas, G.J.

    ISSN: 1552-3098, 1941-0468
    Published: New York, NY IEEE 01.02.2008
    Published 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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  5. 5

    An efficient algorithm for packing cuts and (2,3)-metrics in a planar graph with three holes by Karzanov, Alexander V

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 19.03.2018
    Published in arXiv.org (19.03.2018)
    “… We develop a strongly polynomial purely combinatorial algorithm to find such a packing…”
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    Paper
  6. 6

    A 0.821-ratio purely combinatorial algorithm for maximum \(k\)-vertex cover in bipartite graphs by Bonnet, Edouard, Escoffier, Bruno, Paschos, Vangelis, Stamoulis, Georgios

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 04.04.2015
    Published 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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  7. 7

    Quasi-Polynomial Time Approximation Schemes for Packing and Covering Problems in Planar Graphs by Pilipczuk, Michał, van Leeuwen, Erik Jan, Wiese, Andreas

    ISSN: 0178-4617, 1432-0541
    Published: New York Springer US 01.06.2020
    Published 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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  8. 8

    A combinatorial algorithm for the planar multiflow problem with demands located on three holes by Babenko, Maxim A, Karzanov, Alexander V

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 27.10.2014
    Published in arXiv.org (27.10.2014)
    “… We develop a purely combinatorial strongly polynomial solution algorithm…”
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    Paper
  9. 9

    Tractable Algorithms for Robust Model Estimation by Enqvist, Olof, Ask, Erik, Kahl, Fredrik, Åström, Kalle

    ISSN: 0920-5691, 1573-1405, 1573-1405
    Published: Boston Springer US 01.03.2015
    Published 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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    Journal Article
  10. 10

    Integrality of Linearizations of Polynomials over Binary Variables using Additional Monomials by Hojny, Christopher, Pfetsch, Marc E, Walter, Matthias

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 15.05.2020
    Published 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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    Paper
  11. 11

    Newton-type algorithms for inverse optimization: weighted bottleneck Hamming distance and ℓ∞-norm objectives: Newton-type algorithms for inverse optimization by Bérczi, Kristóf, Mendoza-Cadena, Lydia Mirabel, Varga, Kitti

    ISSN: 1862-4472, 1862-4480
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2025
    Published 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…”
    Get full text
    Journal Article
  12. 12

    A Meeting Point of Probability, Graphs, and Algorithms: The Lovász Local Lemma and Related Results—A Survey by Faragó, András

    ISSN: 1999-4893, 1999-4893
    Published: Basel MDPI AG 01.12.2021
    Published 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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  13. 13

    A new perspective on single-machine scheduling problems with late work related criteria by Shabtay, Dvir

    ISSN: 0254-5330, 1572-9338
    Published: New York Springer US 01.03.2023
    Published 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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  14. 14

    Newton-type algorithms for inverse optimization I: weighted bottleneck Hamming distance and \(\ell_\infty\)-norm objectives by Bérczi, Kristóf, Mendoza-Cadena, Lydia Mirabel, Varga, Kitti

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 28.02.2023
    Published in arXiv.org (28.02.2023)
    “… For the weighted bottleneck Hamming distance objective, we present a simple, purely combinatorial…”
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  15. 15

    Newton-type algorithms for inverse optimization: weighted bottleneck Hamming distance and $$\ell _\infty$$-norm objectives by Bérczi, Kristóf, Mendoza-Cadena, Lydia Mirabel, Varga, Kitti

    ISSN: 1862-4472, 1862-4480
    Published: 01.11.2025
    Published 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…”
    Get full text
    Journal Article
  16. 16

    Fine costs for Euclid's algorithm on polynomials and Farey maps by Berthé, Valérie, Nakada, Hitoshi, Natsui, Rie, Vallée, Brigitte

    ISSN: 0196-8858, 1090-2074
    Published: Elsevier Inc 01.03.2014
    Published 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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  17. 17

    Metric Violation Distance: Hardness and Approximation by Fan, Chenglin, Raichel, Benjamin, Buskirk, Gregory Van

    ISSN: 0178-4617, 1432-0541
    Published: New York Springer US 01.05.2022
    Published 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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  18. 18

    An Experimental Study of Forbidden Patterns in Geometric Permutations by Combinatorial Lifting by Goaoc, Xavier, Holmsen, Andreas, Nicaud, Cyril

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 07.03.2019
    Published 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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  19. 19

    An experimental study of forbidden patterns in geometric permutations by combinatorial lifting by Goaoc, Xavier, Holmsen, Andreas, Nicaud, Cyril

    ISSN: 1920-180X, 1920-180X
    Published: Carleton University, Computational Geometry Laboratory 07.01.2021
    Published 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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  20. 20

    On Combinatorial Approximation of Covering 0-1 Integer Programs and Partial Set Cover by Fujito, Toshihiro

    ISSN: 1382-6905, 1573-2886
    Published: Norwell, MA Springer 01.12.2004
    Published in Journal of combinatorial optimization (01.12.2004)
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