Search Results - Combinatorics and discrete structures related to algorithms

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  1. 1

    Optimal Join Algorithms Meet Top- k by Tziavelis, Nikolaos, Gatterbauer, Wolfgang, Riedewald, Mirek

    ISSN: 0730-8078
    Published: United States 01.06.2020
    “… While some optimality results exist, e.g., the famous Threshold Algorithm, they hold only in a fairly limited model of computation that does not account for the cost incurred by large intermediate results and hence is not aligned…”
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  2. 2

    Kernel bounds for disjoint cycles and disjoint paths by Bodlaender, Hans L., Thomassé, Stéphan, Yeo, Anders

    ISSN: 0304-3975, 1879-2294
    Published: Oxford Elsevier B.V 12.08.2011
    Published in Theoretical computer science (12.08.2011)
    “…In this paper, we show that the problems Disjoint Cycles and Disjoint Paths do not have polynomial kernels, unless N P ⊆ c o N P / p o l y . Thus, these…”
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  3. 3

    A study of algorithms relating distributive lattices, median graphs, and Formal Concept Analysis by Gély, Alain, Couceiro, Miguel, Miclet, Laurent, Napoli, Amedeo

    ISSN: 0888-613X, 1873-4731
    Published: Elsevier Inc 01.03.2022
    “…In this paper, we study structures such as distributive lattices, distributive semilattices, and median graphs from an algorithmic point of view…”
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  4. 4

    The RED-BLUE SEPARATION problem on graphs by Dev, Subhadeep Ranjan, Dey, Sanjana, Foucaud, Florent, Klasing, Ralf, Lehtilä, Tuomo

    ISSN: 0304-3975, 1879-2294
    Published: Elsevier B.V 29.08.2023
    Published in Theoretical computer science (29.08.2023)
    “…We introduce the Red-Blue Separation problem on graphs, where we are given a graph G=(V,E) whose vertices are colored either red or blue, and we want to select…”
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  5. 5

    First-order logic axiomatization of metric graph theory by Chalopin, Jérémie, Changat, Manoj, Chepoi, Victor, Jacob, Jeny

    ISSN: 0304-3975, 1879-2294
    Published: Elsevier B.V 27.04.2024
    Published in Theoretical computer science (27.04.2024)
    “…The main goal of this note is to provide a First-Order Logic with Betweenness (FOLB) axiomatization of the main classes of graphs occurring in Metric Graph…”
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  6. 6

    Enumeration of irredundant forests by Ingels, Florian, Azaïs, Romain

    ISSN: 0304-3975, 1879-2294
    Published: Elsevier B.V 24.06.2022
    Published in Theoretical computer science (24.06.2022)
    “…Reverse search is a convenient method for enumerating structured objects, that can be used both to address theoretical issues and to solve data mining…”
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  7. 7

    Endhered Patterns in Matchings and RNA by Biane, Célia, Hampikian, Greg, Kirgizov, Sergey, Nurligareev, Khaydar

    ISSN: 1557-8666, 1557-8666
    Published: United States 01.01.2025
    Published in Journal of computational biology (01.01.2025)
    “…) RNA structures with pseudoknots. We present combinatorial results related to the distribution and asymptotic behavior of the pattern 21, which corresponds to two consecutive base pairs frequently encountered in RNA, and the pattern…”
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  8. 8

    Faster parameterized algorithms for minor containment by Adler, Isolde, Dorn, Frederic, Fomin, Fedor V., Sau, Ignasi, Thilikos, Dimitrios M.

    ISSN: 0304-3975, 1879-2294
    Published: Oxford Elsevier B.V 25.11.2011
    Published in Theoretical computer science (25.11.2011)
    “… The derivation of a polynomial-time algorithm for H - Minor containment is one of the most important and technical parts of the Graph Minor Theory of Robertson and Seymour and it is…”
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  9. 9

    Approximation of max independent set, min vertex cover and related problems by moderately exponential algorithms by Bourgeois, Nicolas, Escoffier, Bruno, Paschos, Vangelis Th

    ISSN: 0166-218X, 1872-6771
    Published: Kidlington Elsevier B.V 28.10.2011
    Published in Discrete Applied Mathematics (28.10.2011)
    “…Using ideas and results from polynomial time approximation and exact computation we design approximation algorithms for several NP-hard combinatorial problems achieving ratios that cannot be achieved in polynomial time…”
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  10. 10

    On the heapability of finite partial orders by Balogh, János, Bonchiş, Cosmin, Diniş, Diana, Istrate, Gabriel, Todinca, Ioan

    ISSN: 1365-8050, 1462-7264, 1365-8050
    Published: Nancy DMTCS 01.01.2020
    “… We prove a characterization result reminiscent of the proof of Dilworth's theorem, which yields as a byproduct a flow-based algorithm for computing such a minimal decomposition…”
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  11. 11

    Synchronizing production planning and job scheduling: MILP models and exact algorithms by Mombelli, Aurélien, Quilliot, Alain

    ISSN: 1382-6905, 1573-2886
    Published: New York Springer US 01.08.2025
    Published in Journal of combinatorial optimization (01.08.2025)
    “…We address the synchronization of a resource production process with the consumption of related resources by jobs…”
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  12. 12

    Approximation algorithms for the single allocation problem in hub-and-spoke networks and related metric labeling problems by Iwasa, Masaru, Saito, Hiroo, Matsui, Tomomi

    ISSN: 0166-218X, 1872-6771
    Published: Kidlington Elsevier B.V 06.05.2009
    Published in Discrete Applied Mathematics (06.05.2009)
    “…This paper deals with a single allocation problem in hub-and-spoke networks. We present a simple deterministic 3-approximation algorithm and randomized…”
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    Journal Article Conference Proceeding
  13. 13

    The Implementation of the Colored Abstract Simplicial Complex and its Application to Mesh Generation by Lee, Christopher T, Moody, John B, Amaro, Rommie E, McCammon, J Andrew, Holst, Michael J

    ISSN: 0098-3500
    Published: United States 01.08.2019
    Published in ACM transactions on mathematical software (01.08.2019)
    “… We present the innovations and design principles of the data structure and related algorithms…”
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  14. 14

    Complexity results related to monophonic convexity by Dourado, Mitre C., Protti, Fábio, Szwarcfiter, Jayme L.

    ISSN: 0166-218X, 1872-6771
    Published: Kidlington Elsevier B.V 28.06.2010
    Published in Discrete Applied Mathematics (28.06.2010)
    “…The study of monophonic convexity is based on the family of induced paths of a graph. The closure of a subset X of vertices, in this case, contains every…”
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    Journal Article Conference Proceeding
  15. 15

    Aspects of predication and their influence on reasoning about logic in discrete mathematics by Dawkins, Paul Christian, Roh, Kyeong Hah

    ISSN: 1863-9690, 1863-9704
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2022
    Published in ZDM (01.08.2022)
    “… We argue these are consequential for how students make sense of discrete mathematics proofs related to the properties and how they construct a logical structure…”
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  16. 16

    Lattice paths with catastrophes by Banderier, Cyril, Wallner, Michael

    ISSN: 1365-8050, 1462-7264, 1365-8050
    Published: Nancy DMTCS 01.01.2017
    “… Furthermore, we prove several formulae for related combinatorial structures conjectured in the On-Line Encyclopedia of Integer Sequences. Thanks to the kernel method and via analytic combinatorics, we provide the enumeration and limit laws of these "lattice paths with catastrophes" for any finite set of jumps. We end with an algorithm to generate such lattice paths uniformly at random. Comment: 32 pages…”
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  17. 17

    Open problems around exact algorithms by Woeginger, Gerhard J.

    ISSN: 0166-218X, 1872-6771
    Published: Lausanne Elsevier B.V 01.02.2008
    Published in Discrete Applied Mathematics (01.02.2008)
    “… We summarize what is known on these problems, we discuss related results, and we provide pointers to the literature…”
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    Journal Article Conference Proceeding
  18. 18

    Deletion in Abstract Voronoi Diagrams in Expected Linear Time and Related Problems by Junginger, Kolja, Papadopoulou, Evanthia

    ISSN: 0179-5376, 1432-0444
    Published: New York Springer US 01.06.2023
    Published in Discrete & computational geometry (01.06.2023)
    “…; similarly, for any concrete Voronoi diagram of generalized (non-point) sites. In this paper we present a simple, expected linear-time algorithm to update an abstract Voronoi diagram after deletion of one site…”
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  19. 19

    Efficient pricing of discrete Asian options by Hsu, William W.Y., Lyuu, Yuh-Dauh

    ISSN: 0096-3003, 1873-5649
    Published: Amsterdam Elsevier Inc 15.08.2011
    Published in Applied mathematics and computation (15.08.2011)
    “… The algorithm proposed can also be applied to floating-strike Asian options as well because fixed-strike and floating-strike Asian options are related through an equation…”
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  20. 20

    Risk prediction of hypertension complications based on the intelligent algorithm optimized Bayesian network by Du, Gang, Liang, Xi, Ouyang, Xiaoling, Wang, Chunming

    ISSN: 1382-6905, 1573-2886
    Published: New York Springer US 01.11.2021
    Published in Journal of combinatorial optimization (01.11.2021)
    “… of hypertension complications by text mining. On this basis, the K2 algorithm based on the improved particle swarm optimization was proposed to optimize the structure of the Bayesian network (BN…”
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