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Sorting and Selection in Posets [chapter]

Constantinos Daskalakis, Richard M. Karp, Elchanan Mossel, Samantha Riesenfeld, Elad Verbin
2009 Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms  
In particular, we present the first algorithm that sorts a width-w poset of size n with optimal query complexity O(n(w + log n)).  ...  Classical problems of sorting and searching assume an underlying linear ordering of the objects being compared.  ...  In the classical sorting and selection problems, w = 1.  ... 
doi:10.1137/1.9781611973068.44 fatcat:kil4vzenarcutflw4q5ueis4ga

Sorting and Selection in Posets

Constantinos Daskalakis, Richard M. Karp, Elchanan Mossel, Samantha J. Riesenfeld, Elad Verbin
2011 SIAM journal on computing (Print)  
In particular, we present the first algorithm that sorts a width-w poset of size n with optimal query complexity O(n(w + log n)).  ...  Classical problems of sorting and searching assume an underlying linear ordering of the objects being compared.  ...  In the classical sorting and selection problems, w = 1.  ... 
doi:10.1137/070697720 fatcat:ejhc3uvpdzayrcwe7w5k4hjise

Sorting and Selection in Posets [article]

Constantinos Daskalakis , Samantha Riesenfeld Tel Aviv University)
2007 arXiv   pre-print
We present an algorithm that sorts, i.e. completely identifies, a width w poset of size n and has query complexity O(wn + nlog(n)), which is within a constant factor of the information-theoretic lower  ...  Classical problems of sorting and searching assume an underlying linear ordering of the objects being compared.  ...  Sorting and k-selection The central computational problems of this paper are sorting and k-selection.  ... 
arXiv:0707.1532v1 fatcat:abhu72hr2fa6lazvibbdjpp66e

Small Complexity Gaps for Comparison-Based Sorting [chapter]

Shogo Ehara, Kazuo Iwama, Junichi Teruyama
2018 Lecture Notes in Computer Science  
In their WADS2017 paper, Iwama and Teruyama obtained a new upper bound for this constant, which improves the existing gap by some 25%.  ...  Sort, the BinaryInsertion Sort, etc.  ...  Recall that a majority of existing sorting algorithms, including Bubble Sort, Quick Sort, Heap Sort, Merge Sort and Insertion Sort, are so-called comparisonbased sort, in which the input can be accessed  ... 
doi:10.1007/978-3-319-98355-4_16 fatcat:ah6a6esg5fgb5lj4dtn52tpld4

On the Complexity of Computing Winning Strategies for Finite Poset Games

Michael Soltys, Craig Wilson
2010 Theory of Computing Systems  
We also show how to formalize the reasoning about poset games in Skelley's theory W 1 1 for PSPACE reasoning.  ...  We conclude that W 1 1 can use the "strategy stealing argument" to prove that in poset games with a supremum the first player always has a winning strategy.  ...  This is in contrast to poset games, where any element x ∈ U can be selected on the first turn.  ... 
doi:10.1007/s00224-010-9254-y fatcat:y5gcoqb225crvheofsd7gpicpi

Turkish keyphrase extraction using multi-criterion ranking

Bahadir Ozdemir, Ilyas Cicekli
2009 2009 24th International Symposium on Computer and Information Sciences  
Keyphrases have been extensively used for indexing and searching in databases and information retrieval systems. In addition, they provide useful information about semantic content of a document.  ...  In this paper, we propose an algorithm for automating Turkish keyphrase extraction.  ...  ACKNOWLEDGMENTS This work is partially supported by The Scientific and Technical Council of Turkey Grant "TUBITAK EEEAG-107E151".  ... 
doi:10.1109/iscis.2009.5291825 dblp:conf/iscis/OzdemirC09 fatcat:ethtrbmcunactpglviuaayxyqq

Exploring the Solution Space of Sorting by Reversals, with Experiments and an Application to Evolution

M.D.V. Braga, M.-F. Sagot, C. Scornavacca, E. Tannier
2008 IEEE/ACM Transactions on Computational Biology & Bioinformatics  
In comparative genomics, algorithms that sort permutations by reversals are often used to propose evolutionary scenarios of large-scale genomic mutations between species.  ...  The structure is a way to group solutions into equivalence classes, and to identify in each class one particular representative.  ...  ACKNOWLEDGMENTS This work is funded by the Agence Nationale pour la Recherche (ANR), project REGLIS NT05-3_45205, and by the Action de Recherche Coopérative (ARC), project IBN, from the INRIA Institute  ... 
doi:10.1109/tcbb.2008.16 pmid:18670039 fatcat:w5hzooqmdnaipl53zqgrhighwq

Producing posets

Martin Aigner
1981 Discrete Mathematics  
FWther investigation is undertaken on an impontant class of pcse& called parti&~ns, wliich'includes all selection -iems treated in the literature.  ...  Many of the well-known seWion and sorting pr&lems can be ur&qood as the pgduction of certain partial orders, using b+ry cornpar@ns. ihe paw discuses the complexity of the production of arbitrary pose&  ...  Many of the well-known selection and sorting problems can be understood as the production of certaiu part&l orders usin~'binqry comparisons.  ... 
doi:10.1016/0012-365x(81)90197-7 fatcat:c2hpi6rl3ffjpd2i5oab3n4koa

Towards Detection of Bottlenecks in Modular Systems [article]

Mark Sh. Levin
2013 arXiv   pre-print
points, and/or multicriteria ranking), (2) selection of critical system elements (critical components/modules, critical component interconnection), (3) selection of interconnected system components as  ...  composite system faults (via clique-based fusion), (4) critical elements (e.g., nodes) in networks, and (5) predictive detection of system bottlenecks (detection of system components based on forecasting  ...  scale by elements and by compatibility N (S) 6a depicts the poset of system quality by components and Fig. 6b depicts an integrated poset with compatibility (each triangle corresponds to the poset  ... 
arXiv:1306.0128v1 fatcat:iirfn7yxnvcrvcnqhkrbtmjlmm

A framework for the study of preference incorporation in multiobjective evolutionary algorithms

Raluca Iordache, Serban Iordache, Florica Moldoveanu
2014 Proceedings of the 2014 conference on Genetic and evolutionary computation - GECCO '14  
A number of properties and indicators are proposed for characterizing preference models.  ...  We will refer this property of a preference model as its selectivity and we introduce the following 3 poset selectivity indicators: The dominance poset indicator Defined as the number of solutions that  ...  Intuitively, we can define the selectivity I sel pref of a preference model P with respect to a poset selectivity indicator I sel poset as the average poset selectivity value over the set of all non-dominated  ... 
doi:10.1145/2576768.2598380 dblp:conf/gecco/IordacheIM14 fatcat:uor4t3xqgbgqrkijkffuml4rb4

Entropic Uniform Sampling of Linear Extensions in Series-Parallel Posets [chapter]

Olivier Bodini, Matthieu Dien, Antoine Genitrini, Frédéric Peschanski
2017 Lecture Notes in Computer Science  
In this paper, we introduce a uniform random sampler for linear extensions of Series-Parallel posets. The algorithms we present ensure an essential property of random generation algorithms: entropy.  ...  They are in a sense optimal in their consumption of random bits.  ...  But another central property is the correspondence between the linear extensions of the poset P and the topological sorts of Ψ pP q. Let P be a poset, and S " Ψ pP q be its associated SP DAG.  ... 
doi:10.1007/978-3-319-58747-9_9 fatcat:5i5n2mwrljh53jfwqhhoupzbr4

The Poset Cover Problem

Lenwood S. Heath, Ajit Kumar Nema
2013 Open Journal of Discrete Mathematics  
On the positive side, we explore the use of cover relations for finding posets that cover a set of linear orders and present a polynomial-time algorithm to find a partial poset cover.  ...  A partial order or poset . Here, we show that the decision version of this problem is NP-complete.  ...  (This follows from alternate choices available to the depth-first search used to construct a topological sort. See [41] .) Select a topological sort that makes  .  ... 
doi:10.4236/ojdm.2013.33020 fatcat:3qnualq7lnfhtbdobkywq2ua6m

Description of posets critical with respect to the nonnegativity of the quadratic Tits form

V. M. Bondarenko, M. V. Stepochkina
2009 Ukrainian Mathematical Journal  
42 ∼ = N op 98 , N 6,43 ∼ = N op 111 , N 6,44 ∼ = N op 91 , N 6,45 ∼ = N op 76 , N 6,46 ∼ = N 97 , and N 6,47 ∼ = N op 93 .  ...  To select a single poset from each class of isomorphic sets in the families of posets constructed in Steps I and II.  ...  Posets of this sort were studied in [6] [7] [8] [9] [10] [11] [12] [13] [14] .  ... 
doi:10.1007/s11253-009-0245-6 fatcat:v56ok6jiondftnu2xgjia7vu4y

Geometric applications of posets

Michael Segal, Klara Kedem
1998 Computational geometry  
We show the power of posets in computational geometry by solving several problems posed on a set S ofn points in the plane: (1) find the n -k -1 rectilinear farthest neighbors (or, equivalently, k nearest  ...  B > 0, report all the pairs of points that belong to S and are of rectilinear distance ~ or more (less), covering k >7 n/2 points of S by rectilinear (4) and circular (5) concentric rings, and (6) given  ...  Given a set S of n points in the plane and a number k (n/2 <~ k <~ n), we can preprocess the points of S in O( (n -k) log (n -k ) ) time with O( (n -k) log (n -k ) ) space to answer in O(log (n -k  ... 
doi:10.1016/s0925-7721(98)00031-5 fatcat:hjlekzdfyfcxbbqlldpzy447dy

Categorical skylines for streaming data

Nikos Sarkas, Gautam Das, Nick Koudas, Anthony K. H. Tung
2008 Proceedings of the 2008 ACM SIGMOD international conference on Management of data - SIGMOD '08  
and complexity.  ...  Additionally, our study of the dominance relation in the dual space allows us to utilize geometric arrangements in order to index the categorical skyline and efficiently evaluate dominance queries.  ...  a poset and two possible topological sorts.  ... 
doi:10.1145/1376616.1376643 dblp:conf/sigmod/SarkasDKT08 fatcat:ofpn4azqozggxoad7d3j24li5q
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