{"id":"https://openalex.org/W1614005058","doi":"https://doi.org/10.1145/2612669.2612700","title":"Faster 3-periodic merging networks","display_name":"Faster 3-periodic merging networks","publication_year":2014,"publication_date":"2014-06-21","ids":{"openalex":"https://openalex.org/W1614005058","doi":"https://doi.org/10.1145/2612669.2612700","mag":"1614005058"},"language":"en","primary_location":{"id":"doi:10.1145/2612669.2612700","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2612669.2612700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 26th ACM symposium on Parallelism in algorithms and architectures","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1401.0396","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042257072","display_name":"Marek Piotr\u00f3w","orcid":"https://orcid.org/0000-0002-4734-1721"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Marek Piotr\u00f3w","raw_affiliation_strings":["University of Wroc\u014faw, Wroc\u014faw, Poland","University of Wroc\u014faw, Wroc\u014faw, Poland#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Wroc\u014faw, Wroc\u014faw, Poland","institution_ids":[]},{"raw_affiliation_string":"University of Wroc\u014faw, Wroc\u014faw, Poland#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042257072"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03069664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"223","last_page":"225"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7703343629837036},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.7148730158805847},{"id":"https://openalex.org/keywords/comparator","display_name":"Comparator","score":0.6306162476539612},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.5560464859008789},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5394760966300964},{"id":"https://openalex.org/keywords/period","display_name":"Period (music)","score":0.48420074582099915},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4702552556991577},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.461694598197937},{"id":"https://openalex.org/keywords/period-length","display_name":"Period length","score":0.45729339122772217},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42166298627853394},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41503220796585083},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4114791750907898},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06644263863563538},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0594363808631897}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7703343629837036},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.7148730158805847},{"id":"https://openalex.org/C155745195","wikidata":"https://www.wikidata.org/wiki/Q1164179","display_name":"Comparator","level":3,"score":0.6306162476539612},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.5560464859008789},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5394760966300964},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.48420074582099915},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4702552556991577},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.461694598197937},{"id":"https://openalex.org/C2910820772","wikidata":"https://www.wikidata.org/wiki/Q184743","display_name":"Period length","level":2,"score":0.45729339122772217},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42166298627853394},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41503220796585083},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4114791750907898},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06644263863563538},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0594363808631897},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/2612669.2612700","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2612669.2612700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 26th ACM symposium on Parallelism in algorithms and architectures","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1401.0396","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.0396","pdf_url":"https://arxiv.org/pdf/1401.0396","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:1614005058","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1401.0396.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1401.0396","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1401.0396","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1401.0396","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.0396","pdf_url":"https://arxiv.org/pdf/1401.0396","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1614005058.pdf","grobid_xml":"https://content.openalex.org/works/W1614005058.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1587590810","https://openalex.org/W2011582764","https://openalex.org/W2066193740","https://openalex.org/W2095946567","https://openalex.org/W2096006817","https://openalex.org/W2111980485","https://openalex.org/W2141389982","https://openalex.org/W2156172464","https://openalex.org/W2754152676","https://openalex.org/W6669417358"],"related_works":["https://openalex.org/W2052620571","https://openalex.org/W2754152676","https://openalex.org/W1574180925","https://openalex.org/W2007914676","https://openalex.org/W2156172464","https://openalex.org/W2242586777","https://openalex.org/W3095545110","https://openalex.org/W2946505597","https://openalex.org/W2963622642","https://openalex.org/W148616101","https://openalex.org/W2109929425","https://openalex.org/W1543706170","https://openalex.org/W1971297816","https://openalex.org/W2972007656","https://openalex.org/W1498797582","https://openalex.org/W1973784010","https://openalex.org/W2949224720","https://openalex.org/W271516327","https://openalex.org/W1589128031","https://openalex.org/W2987737699"],"abstract_inverted_index":{"We":[0,92],"consider":[1],"the":[2,20,25,31,150],"problem":[3],"of":[4,43,49,73,84,97],"merging":[5,50,111],"two":[6,70],"sorted":[7,71],"sequences":[8,72],"on":[9,103],"a":[10,53,81,94,155],"comparator":[11],"network":[12,26,67,83],"that":[13,17,68,87,100,139],"is":[14,22,27,38],"used":[15],"repeatedly,":[16],"is,":[18],"if":[19],"output":[21,32],"not":[23],"sorted,":[24],"applied":[28],"again":[29],"using":[30],"as":[33],"input.":[34],"The":[35,46,120],"challenging":[36],"task":[37],"to":[39,126,136,148],"construct":[40],"such":[41,98],"networks":[42,51,99,112],"small":[44],"depth.":[45],"first":[47],"constructions":[48],"with":[52,130],"constant":[54,128],"period":[55,85],"were":[56],"given":[57,65],"by":[58,117,144],"Kuty\u0142owski,":[59],"Lory\u015b":[60],"and":[61,80,105],"Oesterdikhoff.":[62],"They":[63],"have":[64,153],"$3$-periodic":[66,110],"merges":[69],"$N$":[74],"numbers":[75],"in":[76,89,114,141],"time":[77,115,142],"$12\\log":[78],"N$":[79],"similar":[82],"$4$":[86],"works":[88],"$5.67\\log":[90],"N$.":[91,119,146],"present":[93],"new":[95,156],"family":[96],"are":[101],"based":[102],"Canfield":[104],"Williamson":[106],"periodic":[107],"sorter.":[108],"Our":[109],"work":[113,140],"upper-bounded":[116,143],"$6\\log":[118],"construction":[121],"can":[122],"be":[123],"easily":[124],"generalized":[125],"larger":[127],"periods":[129],"decreasing":[131],"running":[132],"time,":[133],"for":[134],"example,":[135],"$4$-periodic":[137],"ones":[138],"$4\\log":[145],"Moreover,":[147],"obtain":[149],"facts":[151],"we":[152],"introduced":[154],"proof":[157],"technique.":[158]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}