Selection algorithm (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Selection algorithm" in English language version.

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32doi.org

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activestate.com

code.activestate.com

"heapq package source code". Python library. Retrieved 2023-08-06.; see also the linked comparison of algorithm performance on best-case data.

ams.org

mathscinet.ams.org

Cunto, Walter; Munro, J. Ian (1989). "Average case selection". Journal of the ACM. 36 (2): 270–279. doi:10.1145/62044.62047. MR 1072421. S2CID 10947879.
Skiena, Steven S. (2020). "17.3: Median and selection". The Algorithm Design Manual. Texts in Computer Science (Third ed.). Springer. pp. 514–516. doi:10.1007/978-3-030-54256-6. ISBN 978-3-030-54255-9. MR 4241430. S2CID 22382667.
Blum, Manuel; Floyd, Robert W.; Pratt, Vaughan; Rivest, Ronald L.; Tarjan, Robert E. (1973). "Time bounds for selection" (PDF). Journal of Computer and System Sciences. 7 (4): 448–461. doi:10.1016/S0022-0000(73)80033-9. MR 0329916.
Devroye, Luc (1984). "Exponential bounds for the running time of a selection algorithm" (PDF). Journal of Computer and System Sciences. 29 (1): 1–7. doi:10.1016/0022-0000(84)90009-6. MR 0761047. Devroye, Luc (2001). "On the probabilistic worst-case time of 'find'" (PDF). Algorithmica. 31 (3): 291–303. doi:10.1007/s00453-001-0046-2. MR 1855252. S2CID 674040.
Postmus, J. T.; Rinnooy Kan, A. H. G.; Timmer, G. T. (1983). "An efficient dynamic selection method". Communications of the ACM. 26 (11): 878–881. doi:10.1145/182.358440. MR 0784120. S2CID 3211474.
Karloff, Howard J.; Raghavan, Prabhakar (1993). "Randomized algorithms and pseudorandom numbers". Journal of the ACM. 40 (3): 454–476. doi:10.1145/174130.174132. MR 1370358. S2CID 17956460.
Schönhage, A.; Paterson, M.; Pippenger, N. (1976). "Finding the median". Journal of Computer and System Sciences. 13 (2): 184–199. doi:10.1016/S0022-0000(76)80029-3. MR 0428794. S2CID 29867292.
Dor, Dorit; Zwick, Uri (1999). "Selecting the median". SIAM Journal on Computing. 28 (5): 1722–1758. doi:10.1137/S0097539795288611. MR 1694164. S2CID 2633282.
Valiant, Leslie G. (1975). "Parallelism in comparison problems". SIAM Journal on Computing. 4 (3): 348–355. doi:10.1137/0204030. MR 0378467.
Ajtai, Miklós; Komlós, János; Steiger, W. L.; Szemerédi, Endre (1989). "Optimal parallel selection has complexity $O(\log \log n)$ ". Journal of Computer and System Sciences. 38 (1): 125–133. doi:10.1016/0022-0000(89)90035-4. MR 0990052.
Azar, Yossi; Pippenger, Nicholas (1990). "Parallel selection". Discrete Applied Mathematics. 27 (1–2): 49–58. doi:10.1016/0166-218X(90)90128-Y. MR 1055590.
Reischuk, Rüdiger (1985). "Probabilistic parallel algorithms for sorting and selection". SIAM Journal on Computing. 14 (2): 396–409. doi:10.1137/0214030. MR 0784745.
Han, Yijie (2007). "Optimal parallel selection". ACM Transactions on Algorithms. 3 (4): A38:1–A38:11. doi:10.1145/1290672.1290675. MR 2364962. S2CID 9645870.
Dietz, Paul F.; Raman, Rajeev (1999). "Small-rank selection in parallel, with applications to heap construction". Journal of Algorithms. 30 (1): 33–51. doi:10.1006/jagm.1998.0971. MR 1661179.
Frederickson, Greg N.; Johnson, Donald B. (1984). "Generalized selection and ranking: sorted matrices". SIAM Journal on Computing. 13 (1): 14–30. doi:10.1137/0213002. MR 0731024.
Frederickson, Greg N. (1993). "An optimal algorithm for selection in a min-heap". Information and Computation. 104 (2): 197–214. doi:10.1006/inco.1993.1030. MR 1221889.
Eppstein, David (1999). "Finding the $k$ shortest paths". SIAM Journal on Computing. 28 (2): 652–673. doi:10.1137/S0097539795290477. MR 1634364.
Babenko, Maxim; Kolesnichenko, Ignat; Smirnov, Ivan (2019). "Cascade heap: towards time-optimal extractions". Theory of Computing Systems. 63 (4): 637–646. doi:10.1007/s00224-018-9866-1. MR 3942251. S2CID 253740380.
Cormode, Graham; Muthukrishnan, S. (2005). "An improved data stream summary: the count-min sketch and its applications". Journal of Algorithms. 55 (1): 58–75. doi:10.1016/j.jalgor.2003.12.001. MR 2132028.
Chan, Timothy M. (2010). "Comparison-based time-space lower bounds for selection". ACM Transactions on Algorithms. 6 (2): A26:1–A26:16. doi:10.1145/1721837.1721842. MR 2675693. S2CID 11742607.
Dor, Dorit; Zwick, Uri (2001). "Median selection requires $(2+\varepsilon )N$ comparisons". SIAM Journal on Discrete Mathematics. 14 (3): 312–325. doi:10.1137/S0895480199353895. MR 1857348.

arxiv.org

Kaplan, Haim; Kozma, László; Zamir, Or; Zwick, Uri (2019). "Selection from heaps, row-sorted matrices, and $X+Y$ using soft heaps". In Fineman, Jeremy T.; Mitzenmacher, Michael (eds.). 2nd Symposium on Simplicity in Algorithms, SOSA 2019, January 8–9, 2019, San Diego, CA, USA. OASIcs. Vol. 69. Schloss Dagstuhl – Leibniz-Zentrum für Informatik. pp. 5:1–5:21. arXiv:1802.07041. doi:10.4230/OASIcs.SOSA.2019.5.
Pătraşcu, Mihai; Thorup, Mikkel (2014). "Dynamic integer sets with optimal rank, select, and predecessor search". 55th IEEE Annual Symposium on Foundations of Computer Science, FOCS 2014, Philadelphia, PA, USA, October 18–21, 2014. IEEE Computer Society. pp. 166–175. arXiv:1408.3045. doi:10.1109/FOCS.2014.26. ISBN 978-1-4799-6517-5.

books.google.com

Dodgson, Charles L. (1883). Lawn Tennis Tournaments: The True Method of Assigning Prizes with a Proof of the Fallacy of the Present Method. London: Macmillan and Co. See also Wilson, Robin; Moktefi, Amirouche, eds. (2019). "Lawn tennis tournaments". The Mathematical World of Charles L. Dodgson (Lewis Carroll). Oxford University Press. p. 129. ISBN 9780192549013.

devroye.org

luc.devroye.org

Devroye, Luc (1984). "Exponential bounds for the running time of a selection algorithm" (PDF). Journal of Computer and System Sciences. 29 (1): 1–7. doi:10.1016/0022-0000(84)90009-6. MR 0761047. Devroye, Luc (2001). "On the probabilistic worst-case time of 'find'" (PDF). Algorithmica. 31 (3): 291–303. doi:10.1007/s00453-001-0046-2. MR 1855252. S2CID 674040.

doi.org

Cunto, Walter; Munro, J. Ian (1989). "Average case selection". Journal of the ACM. 36 (2): 270–279. doi:10.1145/62044.62047. MR 1072421. S2CID 10947879.
Skiena, Steven S. (2020). "17.3: Median and selection". The Algorithm Design Manual. Texts in Computer Science (Third ed.). Springer. pp. 514–516. doi:10.1007/978-3-030-54256-6. ISBN 978-3-030-54255-9. MR 4241430. S2CID 22382667.
Blum, Manuel; Floyd, Robert W.; Pratt, Vaughan; Rivest, Ronald L.; Tarjan, Robert E. (1973). "Time bounds for selection" (PDF). Journal of Computer and System Sciences. 7 (4): 448–461. doi:10.1016/S0022-0000(73)80033-9. MR 0329916.
Brodal, Gerth Stølting (2013). "A survey on priority queues". In Brodnik, Andrej; López-Ortiz, Alejandro; Raman, Venkatesh; Viola, Alfredo (eds.). Space-Efficient Data Structures, Streams, and Algorithms – Papers in Honor of J. Ian Munro on the Occasion of His 66th Birthday. Lecture Notes in Computer Science. Vol. 8066. Springer. pp. 150–163. doi:10.1007/978-3-642-40273-9_11. ISBN 978-3-642-40272-2.
Devroye, Luc (1984). "Exponential bounds for the running time of a selection algorithm" (PDF). Journal of Computer and System Sciences. 29 (1): 1–7. doi:10.1016/0022-0000(84)90009-6. MR 0761047. Devroye, Luc (2001). "On the probabilistic worst-case time of 'find'" (PDF). Algorithmica. 31 (3): 291–303. doi:10.1007/s00453-001-0046-2. MR 1855252. S2CID 674040.
Floyd, Robert W.; Rivest, Ronald L. (March 1975). "Expected time bounds for selection". Communications of the ACM. 18 (3): 165–172. doi:10.1145/360680.360691. S2CID 3064709. See also "Algorithm 489: the algorithm SELECT—for finding the $i$ th smallest of $n$ elements", p. 173, doi:10.1145/360680.360694.
Brown, Theodore (September 1976). "Remark on Algorithm 489". ACM Transactions on Mathematical Software. 2 (3): 301–304. doi:10.1145/355694.355704. S2CID 13985011.
Postmus, J. T.; Rinnooy Kan, A. H. G.; Timmer, G. T. (1983). "An efficient dynamic selection method". Communications of the ACM. 26 (11): 878–881. doi:10.1145/182.358440. MR 0784120. S2CID 3211474.
Karloff, Howard J.; Raghavan, Prabhakar (1993). "Randomized algorithms and pseudorandom numbers". Journal of the ACM. 40 (3): 454–476. doi:10.1145/174130.174132. MR 1370358. S2CID 17956460.
Gurwitz, Chaya (1992). "On teaching median-finding algorithms". IEEE Transactions on Education. 35 (3): 230–232. Bibcode:1992ITEdu..35..230G. doi:10.1109/13.144650.
Musser, David R. (August 1997). "Introspective sorting and selection algorithms". Software: Practice and Experience. 27 (8). Wiley: 983–993. doi:10.1002/(sici)1097-024x(199708)27:8<983::aid-spe117>3.0.co;2-#.
Schönhage, A.; Paterson, M.; Pippenger, N. (1976). "Finding the median". Journal of Computer and System Sciences. 13 (2): 184–199. doi:10.1016/S0022-0000(76)80029-3. MR 0428794. S2CID 29867292.
Dor, Dorit; Zwick, Uri (1999). "Selecting the median". SIAM Journal on Computing. 28 (5): 1722–1758. doi:10.1137/S0097539795288611. MR 1694164. S2CID 2633282.
Valiant, Leslie G. (1975). "Parallelism in comparison problems". SIAM Journal on Computing. 4 (3): 348–355. doi:10.1137/0204030. MR 0378467.
Ajtai, Miklós; Komlós, János; Steiger, W. L.; Szemerédi, Endre (1989). "Optimal parallel selection has complexity $O(\log \log n)$ ". Journal of Computer and System Sciences. 38 (1): 125–133. doi:10.1016/0022-0000(89)90035-4. MR 0990052.
Azar, Yossi; Pippenger, Nicholas (1990). "Parallel selection". Discrete Applied Mathematics. 27 (1–2): 49–58. doi:10.1016/0166-218X(90)90128-Y. MR 1055590.
Reischuk, Rüdiger (1985). "Probabilistic parallel algorithms for sorting and selection". SIAM Journal on Computing. 14 (2): 396–409. doi:10.1137/0214030. MR 0784745.
Han, Yijie (2007). "Optimal parallel selection". ACM Transactions on Algorithms. 3 (4): A38:1–A38:11. doi:10.1145/1290672.1290675. MR 2364962. S2CID 9645870.
Chaudhuri, Shiva; Hagerup, Torben; Raman, Rajeev (1993). "Approximate and exact deterministic parallel selection". In Borzyszkowski, Andrzej M.; Sokolowski, Stefan (eds.). Mathematical Foundations of Computer Science 1993, 18th International Symposium, MFCS'93, Gdansk, Poland, August 30 – September 3, 1993, Proceedings. Lecture Notes in Computer Science. Vol. 711. Springer. pp. 352–361. doi:10.1007/3-540-57182-5_27. hdl:11858/00-001M-0000-0014-B748-C. ISBN 978-3-540-57182-7.
Dietz, Paul F.; Raman, Rajeev (1999). "Small-rank selection in parallel, with applications to heap construction". Journal of Algorithms. 30 (1): 33–51. doi:10.1006/jagm.1998.0971. MR 1661179.
Frederickson, Greg N.; Johnson, Donald B. (1984). "Generalized selection and ranking: sorted matrices". SIAM Journal on Computing. 13 (1): 14–30. doi:10.1137/0213002. MR 0731024.
Kaplan, Haim; Kozma, László; Zamir, Or; Zwick, Uri (2019). "Selection from heaps, row-sorted matrices, and $X+Y$ using soft heaps". In Fineman, Jeremy T.; Mitzenmacher, Michael (eds.). 2nd Symposium on Simplicity in Algorithms, SOSA 2019, January 8–9, 2019, San Diego, CA, USA. OASIcs. Vol. 69. Schloss Dagstuhl – Leibniz-Zentrum für Informatik. pp. 5:1–5:21. arXiv:1802.07041. doi:10.4230/OASIcs.SOSA.2019.5.
Frederickson, Greg N. (1993). "An optimal algorithm for selection in a min-heap". Information and Computation. 104 (2): 197–214. doi:10.1006/inco.1993.1030. MR 1221889.
Eppstein, David (1999). "Finding the $k$ shortest paths". SIAM Journal on Computing. 28 (2): 652–673. doi:10.1137/S0097539795290477. MR 1634364.
Babenko, Maxim; Kolesnichenko, Ignat; Smirnov, Ivan (2019). "Cascade heap: towards time-optimal extractions". Theory of Computing Systems. 63 (4): 637–646. doi:10.1007/s00224-018-9866-1. MR 3942251. S2CID 253740380.
Pătraşcu, Mihai; Thorup, Mikkel (2014). "Dynamic integer sets with optimal rank, select, and predecessor search". 55th IEEE Annual Symposium on Foundations of Computer Science, FOCS 2014, Philadelphia, PA, USA, October 18–21, 2014. IEEE Computer Society. pp. 166–175. arXiv:1408.3045. doi:10.1109/FOCS.2014.26. ISBN 978-1-4799-6517-5.
Cormode, Graham; Muthukrishnan, S. (2005). "An improved data stream summary: the count-min sketch and its applications". Journal of Algorithms. 55 (1): 58–75. doi:10.1016/j.jalgor.2003.12.001. MR 2132028.
Chan, Timothy M. (2010). "Comparison-based time-space lower bounds for selection". ACM Transactions on Algorithms. 6 (2): A26:1–A26:16. doi:10.1145/1721837.1721842. MR 2675693. S2CID 11742607.
Bent, Samuel W.; John, John W. (1985). "Finding the median requires $2n$ comparisons". In Sedgewick, Robert (ed.). Proceedings of the 17th Annual ACM Symposium on Theory of Computing, May 6–8, 1985, Providence, Rhode Island, USA. Association for Computing Machinery. pp. 213–216. doi:10.1145/22145.22169. ISBN 0-89791-151-2.
Dor, Dorit; Zwick, Uri (2001). "Median selection requires $(2+\varepsilon )N$ comparisons". SIAM Journal on Discrete Mathematics. 14 (3): 312–325. doi:10.1137/S0895480199353895. MR 1857348.
Gasarch, William; Kelly, Wayne; Pugh, William (July 1996). "Finding the $i$ th largest of $n$ for small $i,n$ ". ACM SIGACT News. 27 (2): 88–96. doi:10.1145/235767.235772. S2CID 3133332.
Hoare, C. A. R. (July 1961). "Algorithm 65: Find". Communications of the ACM. 4 (7): 321–322. doi:10.1145/366622.366647.

github.com

"heapq package source code". Python library. Retrieved 2023-08-06.; see also the linked comparison of algorithm performance on best-case data.

handle.net

hdl.handle.net

Chaudhuri, Shiva; Hagerup, Torben; Raman, Rajeev (1993). "Approximate and exact deterministic parallel selection". In Borzyszkowski, Andrzej M.; Sokolowski, Stefan (eds.). Mathematical Foundations of Computer Science 1993, 18th International Symposium, MFCS'93, Gdansk, Poland, August 30 – September 3, 1993, Proceedings. Lecture Notes in Computer Science. Vol. 711. Springer. pp. 352–361. doi:10.1007/3-540-57182-5_27. hdl:11858/00-001M-0000-0014-B748-C. ISBN 978-3-540-57182-7.
Hadian, Abdollah; Sobel, Milton (May 1969). Selecting the $t$ -th largest using binary errorless comparisons (Report). School of Statistics Technical Reports. Vol. 121. University of Minnesota. hdl:11299/199105.

harvard.edu

ui.adsabs.harvard.edu

Gurwitz, Chaya (1992). "On teaching median-finding algorithms". IEEE Transactions on Education. 35 (3): 230–232. Bibcode:1992ITEdu..35..230G. doi:10.1109/13.144650.

illinois.edu

jeffe.cs.illinois.edu

Erickson, Jeff (June 2019). "1.8: Linear-time selection". Algorithms. pp. 35–39.

mathworks.com

"mink: Find k smallest elements of array". Matlab R2023a documentation. Mathworks. Retrieved 2023-03-30.

mit.edu

people.csail.mit.edu

Blum, Manuel; Floyd, Robert W.; Pratt, Vaughan; Rivest, Ronald L.; Tarjan, Robert E. (1973). "Time bounds for selection" (PDF). Journal of Computer and System Sciences. 7 (4): 448–461. doi:10.1016/S0022-0000(73)80033-9. MR 0329916.

semanticscholar.org

api.semanticscholar.org

Cunto, Walter; Munro, J. Ian (1989). "Average case selection". Journal of the ACM. 36 (2): 270–279. doi:10.1145/62044.62047. MR 1072421. S2CID 10947879.
Skiena, Steven S. (2020). "17.3: Median and selection". The Algorithm Design Manual. Texts in Computer Science (Third ed.). Springer. pp. 514–516. doi:10.1007/978-3-030-54256-6. ISBN 978-3-030-54255-9. MR 4241430. S2CID 22382667.
Devroye, Luc (1984). "Exponential bounds for the running time of a selection algorithm" (PDF). Journal of Computer and System Sciences. 29 (1): 1–7. doi:10.1016/0022-0000(84)90009-6. MR 0761047. Devroye, Luc (2001). "On the probabilistic worst-case time of 'find'" (PDF). Algorithmica. 31 (3): 291–303. doi:10.1007/s00453-001-0046-2. MR 1855252. S2CID 674040.
Floyd, Robert W.; Rivest, Ronald L. (March 1975). "Expected time bounds for selection". Communications of the ACM. 18 (3): 165–172. doi:10.1145/360680.360691. S2CID 3064709. See also "Algorithm 489: the algorithm SELECT—for finding the $i$ th smallest of $n$ elements", p. 173, doi:10.1145/360680.360694.
Brown, Theodore (September 1976). "Remark on Algorithm 489". ACM Transactions on Mathematical Software. 2 (3): 301–304. doi:10.1145/355694.355704. S2CID 13985011.
Postmus, J. T.; Rinnooy Kan, A. H. G.; Timmer, G. T. (1983). "An efficient dynamic selection method". Communications of the ACM. 26 (11): 878–881. doi:10.1145/182.358440. MR 0784120. S2CID 3211474.
Karloff, Howard J.; Raghavan, Prabhakar (1993). "Randomized algorithms and pseudorandom numbers". Journal of the ACM. 40 (3): 454–476. doi:10.1145/174130.174132. MR 1370358. S2CID 17956460.
Schönhage, A.; Paterson, M.; Pippenger, N. (1976). "Finding the median". Journal of Computer and System Sciences. 13 (2): 184–199. doi:10.1016/S0022-0000(76)80029-3. MR 0428794. S2CID 29867292.
Dor, Dorit; Zwick, Uri (1999). "Selecting the median". SIAM Journal on Computing. 28 (5): 1722–1758. doi:10.1137/S0097539795288611. MR 1694164. S2CID 2633282.
Han, Yijie (2007). "Optimal parallel selection". ACM Transactions on Algorithms. 3 (4): A38:1–A38:11. doi:10.1145/1290672.1290675. MR 2364962. S2CID 9645870.
Babenko, Maxim; Kolesnichenko, Ignat; Smirnov, Ivan (2019). "Cascade heap: towards time-optimal extractions". Theory of Computing Systems. 63 (4): 637–646. doi:10.1007/s00224-018-9866-1. MR 3942251. S2CID 253740380.
Chan, Timothy M. (2010). "Comparison-based time-space lower bounds for selection". ACM Transactions on Algorithms. 6 (2): A26:1–A26:16. doi:10.1145/1721837.1721842. MR 2675693. S2CID 11742607.
Gasarch, William; Kelly, Wayne; Pugh, William (July 1996). "Finding the $i$ th largest of $n$ for small $i,n$ ". ACM SIGACT News. 27 (2): 88–96. doi:10.1145/235767.235772. S2CID 3133332.