{"id":"https://openalex.org/W2043380199","doi":"https://doi.org/10.1137/0220047","title":"Intersecting Line Segments in Parallel with an Output-Sensitive Number of Processors","display_name":"Intersecting Line Segments in Parallel with an Output-Sensitive Number of Processors","publication_year":1991,"publication_date":"1991-08-01","ids":{"openalex":"https://openalex.org/W2043380199","doi":"https://doi.org/10.1137/0220047","mag":"2043380199"},"language":"en","primary_location":{"id":"doi:10.1137/0220047","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0220047","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5034971300","display_name":"Michael T. Goodrich","orcid":"https://orcid.org/0000-0002-8943-191X"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael T. Goodrich","raw_affiliation_strings":["The Johns Hopkins University , Baltimore, MD"],"affiliations":[{"raw_affiliation_string":"The Johns Hopkins University , Baltimore, MD","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034971300"],"corresponding_institution_ids":["https://openalex.org/I145311948"],"apc_list":null,"apc_paid":null,"fwci":2.6544,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.88347826,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"20","issue":"4","first_page":"737","last_page":"755"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T12176","display_name":"Optimization and Packing Problems","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T12923","display_name":"Digital Image Processing Techniques","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/parallel-algorithm","display_name":"Parallel algorithm","score":0.6384245753288269},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.6191328763961792},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5699592232704163},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.5506191849708557},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.527768611907959},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5274144411087036},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.5136496424674988},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48746395111083984},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.42357468605041504},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.42172765731811523},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41073065996170044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3729709982872009}],"concepts":[{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.6384245753288269},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.6191328763961792},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5699592232704163},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.5506191849708557},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.527768611907959},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5274144411087036},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5136496424674988},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48746395111083984},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.42357468605041504},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.42172765731811523},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41073065996170044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3729709982872009},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0220047","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0220047","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1822595813","https://openalex.org/W1874694348","https://openalex.org/W1978583881","https://openalex.org/W1981233261","https://openalex.org/W2005465277","https://openalex.org/W2007519459","https://openalex.org/W2017167025","https://openalex.org/W2030999197","https://openalex.org/W2042607215","https://openalex.org/W2051017380","https://openalex.org/W2052165970","https://openalex.org/W2068772835","https://openalex.org/W2081280922","https://openalex.org/W2087489294","https://openalex.org/W2113438075","https://openalex.org/W2114968863","https://openalex.org/W2130566259","https://openalex.org/W2143462372","https://openalex.org/W2911302472","https://openalex.org/W4300640952"],"related_works":["https://openalex.org/W2070865675","https://openalex.org/W1970073092","https://openalex.org/W1657646819","https://openalex.org/W338671845","https://openalex.org/W2023670982","https://openalex.org/W2055625272","https://openalex.org/W2054653010","https://openalex.org/W2036758175","https://openalex.org/W2070426974","https://openalex.org/W1577155814"],"abstract_inverted_index":{"An":[0],"efficient":[1,31],"parallel":[2,120],"algorithm":[3,29,84,130],"is":[4,30,37,49,68,75,111,119,153],"given":[5],"for":[6,131],"constructing":[7],"the":[8,15,18,23,69,72,80,88,107,124,154],"arrangement":[9,109],"of":[10,71,90,106,123,151],"n":[11,62],"line":[12],"segments":[13],"in":[14,56,79,135],"plane,":[16],"i.e.,":[17],"planar":[19],"graph":[20],"determined":[21],"by":[22],"segment":[24,108,118],"endpoints":[25],"and":[26,47,164],"intersections.":[27],"This":[28],"relative":[32],"to":[33,121],"three":[34],"efficiency":[35],"measures\u2014it":[36],"an":[38,102,140],"NC":[39],"algorithm,":[40],"it":[41,48,54,94,96],"has":[42],"a":[43],"small":[44],"time-processor":[45],"product,":[46],"output-size":[50],"sensitive.":[51],"In":[52],"particular,":[53],"runs":[55,134],"$O(\\log":[57,136],"n)$":[58,137,147],"time":[59,138],"using":[60,139],"$O(n\\log":[61],"+":[63,143],"k)$":[64],"processors,":[65],"where":[66,158],"k":[67,91,144],"size":[70],"output":[73],"(which":[74],"$\\Omega":[76],"(n^2":[77],")$":[78],"worst":[81],"case).":[82],"The":[83,129,149],"does":[85],"not":[86],"receive":[87],"value":[89],"as":[92],"input,":[93],"determines":[95],"on-line.":[97],"A":[98],"method":[99],"or":[100],"solving":[101],"important":[103],"special":[104],"case":[105],"problem":[110,133],"also":[112],"shown,":[113],"namely,":[114],"when":[115],"each":[116],"input":[117],"one":[122],"coordinate":[125],"axes":[126],"(i.e.,":[127],"iso-oriented).":[128],"this":[132],"optimal":[141],"$O(n":[142],"/":[145],"\\log":[146],"processors.":[148],"model":[150],"computation":[152],"CREW":[155],"PRAM":[156],"model,":[157],"processor":[159],"allocation":[160],"must":[161],"be":[162],"explicit":[163],"global.":[165]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}