{"id":"https://openalex.org/W1765631655","doi":"https://doi.org/10.1007/bfb0056593","title":"On the PVM computations of transitive closure and algebraic path problems","display_name":"On the PVM computations of transitive closure and algebraic path problems","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1765631655","doi":"https://doi.org/10.1007/bfb0056593","mag":"1765631655"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0056593","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0056593","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5067748960","display_name":"Ken Chan","orcid":null},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ken Chan","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, L69 7ZF, Liverpool, UK","#N##TAB##TAB##TAB##TAB# University of Liverpool#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, L69 7ZF, Liverpool, UK","institution_ids":["https://openalex.org/I146655781"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# University of Liverpool#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I146655781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109875727","display_name":"Alan Gibbons","orcid":null},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alan Gibbons","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, L69 7ZF, Liverpool, UK","#N##TAB##TAB##TAB##TAB# University of Liverpool#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, L69 7ZF, Liverpool, UK","institution_ids":["https://openalex.org/I146655781"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# University of Liverpool#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I146655781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011390880","display_name":"Marcelo Pias","orcid":"https://orcid.org/0000-0001-6728-2725"},"institutions":[{"id":"https://openalex.org/I126460647","display_name":"Universidade Federal do Rio Grande","ror":"https://ror.org/05hpfkn88","country_code":"BR","type":"education","lineage":["https://openalex.org/I126460647"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Marcelo Pias","raw_affiliation_strings":["Department of Computer Science, Fundacao Universidade de Rio Grande, Brazil","Fundacao Universidade de Rio Grande"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Fundacao Universidade de Rio Grande, Brazil","institution_ids":["https://openalex.org/I126460647"]},{"raw_affiliation_string":"Fundacao Universidade de Rio Grande","institution_ids":["https://openalex.org/I126460647"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079957387","display_name":"Wojciech Rytter","orcid":"https://orcid.org/0000-0002-9162-6724"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]},{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["GB","PL"],"is_corresponding":false,"raw_author_name":"Wojciech Rytter","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, L69 7ZF, Liverpool, UK","Institute of Informatics, Warsaw University, Warsaw, Poland","Warsaw University","University of Liverpool"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, L69 7ZF, Liverpool, UK","institution_ids":["https://openalex.org/I146655781"]},{"raw_affiliation_string":"Institute of Informatics, Warsaw University, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]},{"raw_affiliation_string":"Warsaw University","institution_ids":["https://openalex.org/I4654613"]},{"raw_affiliation_string":"University of Liverpool","institution_ids":["https://openalex.org/I146655781"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"338","last_page":"345"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998000264167786,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9994999766349792,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9994999766349792,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/transitive-closure","display_name":"Transitive closure","score":0.9460641145706177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7859613299369812},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.6772069931030273},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.6334527730941772},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.6328949928283691},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5937219858169556},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5076025724411011},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.5035802721977234},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.49407413601875305},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.45725128054618835},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4391201138496399},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3559701144695282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18392375111579895},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1454668641090393},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11408010125160217}],"concepts":[{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.9460641145706177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7859613299369812},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.6772069931030273},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.6334527730941772},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.6328949928283691},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5937219858169556},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5076025724411011},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.5035802721977234},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.49407413601875305},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45725128054618835},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4391201138496399},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3559701144695282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18392375111579895},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1454668641090393},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11408010125160217},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bfb0056593","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0056593","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.133.9852","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.133.9852","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.csc.liv.ac.uk/~kjc/work/pvm98.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W51323104","https://openalex.org/W1556104144","https://openalex.org/W1655990431","https://openalex.org/W1984087192","https://openalex.org/W2004354110","https://openalex.org/W2104315946","https://openalex.org/W2104734478","https://openalex.org/W2109507227","https://openalex.org/W2135517649","https://openalex.org/W2167092777","https://openalex.org/W2171603032"],"related_works":["https://openalex.org/W1553139688","https://openalex.org/W2371151875","https://openalex.org/W2136009070","https://openalex.org/W2362009423","https://openalex.org/W2391133415","https://openalex.org/W2012063573","https://openalex.org/W2123627450","https://openalex.org/W203725150","https://openalex.org/W4230967508","https://openalex.org/W1499233953"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-25T15:57:00.446498","created_date":"2025-10-10T00:00:00"}
