{"id":"https://openalex.org/W1515448847","doi":"https://doi.org/10.1007/3-540-57208-2_28","title":"Loop parallelization in the polytope model","display_name":"Loop parallelization in the polytope model","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W1515448847","doi":"https://doi.org/10.1007/3-540-57208-2_28","mag":"1515448847"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-57208-2_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-57208-2_28","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/A5001151726","display_name":"Christian Lengauer","orcid":"https://orcid.org/0000-0002-2717-3417"},"institutions":[{"id":"https://openalex.org/I186354981","display_name":"University of Passau","ror":"https://ror.org/05ydjnb78","country_code":"DE","type":"education","lineage":["https://openalex.org/I186354981"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christian Lengauer","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik und Informatik, Universit\u00e4t Passau, D-94030, Passau, Germany","Universit\u00e4t Passau,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik und Informatik, Universit\u00e4t Passau, D-94030, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]},{"raw_affiliation_string":"Universit\u00e4t Passau,","institution_ids":["https://openalex.org/I186354981"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5001151726"],"corresponding_institution_ids":["https://openalex.org/I186354981"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.3067,"has_fulltext":false,"cited_by_count":192,"citation_normalized_percentile":{"value":0.94279428,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"398","last_page":"416"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9970999956130981,"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":0.9970999956130981,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9919999837875366,"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":0.9876999855041504,"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/polytope-model","display_name":"Polytope model","score":0.8524945974349976},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8227116465568542},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.6865262389183044},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.5485015511512756},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.4977908134460449},{"id":"https://openalex.org/keywords/massively-parallel","display_name":"Massively parallel","score":0.4971907436847687},{"id":"https://openalex.org/keywords/automatic-parallelization","display_name":"Automatic parallelization","score":0.48880502581596375},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4820364713668823},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.47608867287635803},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.45914149284362793},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.4350966513156891},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3684694170951843},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2592651844024658},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.1940518319606781},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1714000403881073},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.14508023858070374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.12911063432693481},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.11521205306053162},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10490432381629944}],"concepts":[{"id":"https://openalex.org/C113391598","wikidata":"https://www.wikidata.org/wiki/Q1681391","display_name":"Polytope model","level":3,"score":0.8524945974349976},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8227116465568542},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.6865262389183044},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.5485015511512756},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.4977908134460449},{"id":"https://openalex.org/C190475519","wikidata":"https://www.wikidata.org/wiki/Q544384","display_name":"Massively parallel","level":2,"score":0.4971907436847687},{"id":"https://openalex.org/C164833996","wikidata":"https://www.wikidata.org/wiki/Q2323839","display_name":"Automatic parallelization","level":3,"score":0.48880502581596375},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4820364713668823},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.47608867287635803},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.45914149284362793},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.4350966513156891},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3684694170951843},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2592651844024658},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.1940518319606781},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1714000403881073},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.14508023858070374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.12911063432693481},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.11521205306053162},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10490432381629944},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/3-540-57208-2_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-57208-2_28","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:10.1.1.29.8716","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.29.8716","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.uni-passau.de/pub/local/parallel/papers/concur93c.ps.Z","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.87.6116","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.87.6116","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.infosun.fim.uni-passau.de/cl/papers/concur93c.pdf","raw_type":"text"},{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-005503752","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W28782313","https://openalex.org/W114396598","https://openalex.org/W161315898","https://openalex.org/W162841629","https://openalex.org/W180816285","https://openalex.org/W276224435","https://openalex.org/W1499320213","https://openalex.org/W1511110335","https://openalex.org/W1523764530","https://openalex.org/W1536051636","https://openalex.org/W1561483979","https://openalex.org/W1595858234","https://openalex.org/W1604199838","https://openalex.org/W1615997070","https://openalex.org/W1617489376","https://openalex.org/W1963547452","https://openalex.org/W1968143987","https://openalex.org/W1972602620","https://openalex.org/W1987188645","https://openalex.org/W1995270665","https://openalex.org/W2002252837","https://openalex.org/W2003189603","https://openalex.org/W2006315548","https://openalex.org/W2013240789","https://openalex.org/W2014892800","https://openalex.org/W2027136981","https://openalex.org/W2032391783","https://openalex.org/W2037929850","https://openalex.org/W2039154210","https://openalex.org/W2045260997","https://openalex.org/W2046188666","https://openalex.org/W2054388411","https://openalex.org/W2054472284","https://openalex.org/W2055923858","https://openalex.org/W2064130185","https://openalex.org/W2075509753","https://openalex.org/W2079092669","https://openalex.org/W2082711009","https://openalex.org/W2085376012","https://openalex.org/W2085551696","https://openalex.org/W2093602329","https://openalex.org/W2133286897","https://openalex.org/W2136862249","https://openalex.org/W2139378242","https://openalex.org/W2140639562","https://openalex.org/W2152506070","https://openalex.org/W2154600908","https://openalex.org/W2164890169","https://openalex.org/W2170699077","https://openalex.org/W2265898812","https://openalex.org/W2270421550","https://openalex.org/W2340604309","https://openalex.org/W2505968561","https://openalex.org/W2758174528","https://openalex.org/W4234407207"],"related_works":["https://openalex.org/W2407589815","https://openalex.org/W1504751168","https://openalex.org/W1577309527","https://openalex.org/W2918047769","https://openalex.org/W1471781652","https://openalex.org/W2757545718","https://openalex.org/W940482830","https://openalex.org/W4240078746","https://openalex.org/W1987204888","https://openalex.org/W1515448847"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":7}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}