{"id":"https://openalex.org/W1976695342","doi":"https://doi.org/10.1109/tc.2014.2315634","title":"Fast and Efficient Circuit Topologies forFinding the Maximum of n k-Bit Numbers","display_name":"Fast and Efficient Circuit Topologies forFinding the Maximum of n k-Bit Numbers","publication_year":2014,"publication_date":"2014-04-03","ids":{"openalex":"https://openalex.org/W1976695342","doi":"https://doi.org/10.1109/tc.2014.2315634","mag":"1976695342"},"language":"en","primary_location":{"id":"doi:10.1109/tc.2014.2315634","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2014.2315634","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001019171","display_name":"Bilgiday Yuce","orcid":"https://orcid.org/0000-0002-7734-8465"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bilgiday Yuce","raw_affiliation_strings":["Bradley Department of Electrical and Computer Engineering, Virginia Tech, Blacksburg, VA","[Bradley Department of Electrical & Computer Engineering Virginia Tech., Blacksburg, VA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bradley Department of Electrical and Computer Engineering, Virginia Tech, Blacksburg, VA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"[Bradley Department of Electrical & Computer Engineering Virginia Tech., Blacksburg, VA]","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029193455","display_name":"H. Fatih U\u011furda\u011f","orcid":"https://orcid.org/0000-0002-6256-0850"},"institutions":[{"id":"https://openalex.org/I44925452","display_name":"\u00d6zye\u011fin University","ror":"https://ror.org/01jjhfr75","country_code":"TR","type":"education","lineage":["https://openalex.org/I44925452"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"H. Fatih Ugurdag","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, Ozyegin University, Cekmekoy, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, Ozyegin University, Cekmekoy, Istanbul, Turkey","institution_ids":["https://openalex.org/I44925452"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069036699","display_name":"Sezer G\u00f6ren","orcid":"https://orcid.org/0000-0002-3688-5280"},"institutions":[{"id":"https://openalex.org/I100072489","display_name":"Yeditepe University","ror":"https://ror.org/025mx2575","country_code":"TR","type":"education","lineage":["https://openalex.org/I100072489"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Sezer Goren","raw_affiliation_strings":["Department of Computer Engineering, Yeditepe University, Atasehir, Istanbul, Turkey","Department of Computer Engineering, Yeditepe University, Atasehir, Istanbul, Turkey#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Yeditepe University, Atasehir, Istanbul, Turkey","institution_ids":["https://openalex.org/I100072489"]},{"raw_affiliation_string":"Department of Computer Engineering, Yeditepe University, Atasehir, Istanbul, Turkey#TAB#","institution_ids":["https://openalex.org/I100072489"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052669741","display_name":"G\u00fcnhan D\u00fcndar","orcid":"https://orcid.org/0000-0003-2044-2706"},"institutions":[{"id":"https://openalex.org/I4405392","display_name":"Bo\u011fazi\u00e7i University","ror":"https://ror.org/03z9tma90","country_code":"TR","type":"education","lineage":["https://openalex.org/I4405392"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Gunhan Dundar","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, Bogazici University, Bebek, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, Bogazici University, Bebek, Istanbul, Turkey","institution_ids":["https://openalex.org/I4405392"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0359,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.79046318,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"63","issue":"8","first_page":"1868","last_page":"1881"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":1.0,"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/T10363","display_name":"Low-power high-performance VLSI design","score":1.0,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11005","display_name":"Radiation Effects in Electronics","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.6105743646621704},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4794706106185913},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.411058247089386},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39452487230300903},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3924916982650757},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3813377022743225},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32546570897102356}],"concepts":[{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.6105743646621704},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4794706106185913},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.411058247089386},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39452487230300903},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3924916982650757},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3813377022743225},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32546570897102356},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tc.2014.2315634","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2014.2315634","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","raw_type":"journal-article"},{"id":"pmh:oai:eresearch.ozyegin.edu.tr:10679/712","is_oa":false,"landing_page_url":"http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6782653&tag=1","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1512375387","https://openalex.org/W1963965124","https://openalex.org/W1979629957","https://openalex.org/W1995615534","https://openalex.org/W2039773874","https://openalex.org/W2052346850","https://openalex.org/W2069041760","https://openalex.org/W2099512056","https://openalex.org/W2105925860","https://openalex.org/W2122522028","https://openalex.org/W2123889627","https://openalex.org/W2140228835","https://openalex.org/W2141389982","https://openalex.org/W2143462372","https://openalex.org/W2147847555","https://openalex.org/W2151367327","https://openalex.org/W2167078635","https://openalex.org/W2167511247","https://openalex.org/W2168543008","https://openalex.org/W4246219036","https://openalex.org/W4254414035","https://openalex.org/W6684641096"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W2345600497","https://openalex.org/W241866648","https://openalex.org/W2386767533","https://openalex.org/W2047454787","https://openalex.org/W2058171746","https://openalex.org/W2324899973","https://openalex.org/W1042336611","https://openalex.org/W1978225469","https://openalex.org/W2799759016"],"abstract_inverted_index":{"Finding":[0],"the":[1,6,113,116,143,147,175,181],"value":[2],"and/or":[3],"index":[4],"of":[5,11,14,96,159,167,180,186,201],"maximum":[7],"(or":[8,42],"minimum)":[9],"element":[10],"a":[12,27,155],"set":[13],"<inline-formula":[15,22,72,102,108,120,124],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[16,23,73,103,109,121,125],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math>$n$":[17,104],"</tex-math></inline-formula>":[18,105,127],"numbers":[19],"(each":[20],"with":[21],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math>$k$</tex-math></inline-formula>":[24,110],"-bits)":[25],"is":[26,32,100,118,137,162],"fundamental":[28],"arithmetic":[29],"operation":[30],"and":[31,61,83,91],"needed":[33],"in":[34,87,115,177,197],"many":[35],"applications.":[36],"This":[37],"paper":[38],"proposes":[39],"several":[40],"maximum-finder":[41],"minimum-finder)":[43],"circuit":[44,51],"topologies,":[45],"which":[46],"are":[47,172,195],"parallel.":[48],"We":[49],"wrote":[50],"generators":[52],"at":[53],"hardware":[54],"description":[55],"language":[56],"level":[57],"for":[58,69],"our":[59,97,134,169],"topologies":[60,171],"previous":[62],"works.":[63],"Then":[64],"we":[65,152,194],"synthesized":[66],"these":[67],"circuits":[68],"20":[70,182],"different":[71],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[74],"<tex-math>$(n,":[75],"k)$</tex-math></inline-formula>":[76],"cases":[77,199],"(with":[78],"values":[79],"up":[80],"to":[81],"64)":[82],"compared":[84],"their":[85],"efficiency":[86,161],"timing":[88,94],"(latency),":[89],"area,":[90],"energy.":[92],"The":[93,129],"complexity":[95],"fastest":[98,114,135],"topology":[99,136],"O(log":[101,119],"+":[106],"log":[107,123],"),":[111],"whereas":[112],"literature":[117],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math>$n$</tex-math></inline-formula>":[122],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math>$k$":[126],").":[128],"synthesis":[130],"results":[131],"showed":[132],"that":[133,154],"1.2-2.2":[138],"times":[139,141],"(1.6":[140],"on":[142],"average)":[144],"faster":[145],"than":[146,174],"state-of-the-art.":[148],"In":[149,165,184],"this":[150],"paper,":[151],"argue":[153],"more":[156],"fair":[157],"metric":[158],"area":[160],"area-timing":[163],"product.":[164],"terms":[166,185],"ATP,":[168],"proposed":[170],"better":[173,196],"state-of-the-art":[176],"19":[178],"out":[179,200],"cases.":[183],"energy":[187],"(i.e.,":[188],"power-timing":[189],"product,":[190],"abbreviated":[191],"as":[192],"PTP),":[193],"11":[198],"20.":[202]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
