{"id":"https://openalex.org/W1868079792","doi":"https://doi.org/10.1007/3-540-63163-1_9","title":"Computing minimum-link path in a homotopy class amidst semi-algebraic obstacles in the plane","display_name":"Computing minimum-link path in a homotopy class amidst semi-algebraic obstacles in the plane","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1868079792","doi":"https://doi.org/10.1007/3-540-63163-1_9","mag":"1868079792"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-63163-1_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-63163-1_9","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-03049425","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058530409","display_name":"D. Grigoriev","orcid":"https://orcid.org/0000-0002-3521-5402"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]},{"id":"https://openalex.org/I2800906181","display_name":"St. Petersburg Department of Steklov Institute of Mathematics","ror":"https://ror.org/030h9s280","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2800906181","https://openalex.org/I4210124601"]}],"countries":["RU","US"],"is_corresponding":false,"raw_author_name":"D. Grigoriev","raw_affiliation_strings":["Dept. of Comput. Sci., Penn State University, 16802, University Park, PA, USA","Steklov Inst. for Mathematics, Acad. of Sci. of Russia, St-Petersburg, Russia","Dept. of Comput. Sci., Penn State University, University Park, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Comput. Sci., Penn State University, 16802, University Park, PA, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Steklov Inst. for Mathematics, Acad. of Sci. of Russia, St-Petersburg, Russia","institution_ids":["https://openalex.org/I2800906181"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Penn State University, University Park, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024736709","display_name":"Anatol Slissenko","orcid":null},"institutions":[{"id":"https://openalex.org/I197681013","display_name":"Universit\u00e9 Paris-Est Cr\u00e9teil","ror":"https://ror.org/05ggc9x40","country_code":"FR","type":"education","lineage":["https://openalex.org/I197681013"]},{"id":"https://openalex.org/I4210103826","display_name":"St. Petersburg Institute for Informatics and Automation","ror":"https://ror.org/01ccb9w37","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210103826"]}],"countries":["FR","RU"],"is_corresponding":false,"raw_author_name":"A. Slissenko","raw_affiliation_strings":["Dept. of Informatics, University Paris-12, 61 Av. du G\u00e9n. de Gaulle, 94010, Cr\u00e9teil, France","Inst. for Informatics, Acad. of Sci. of Russia, St-Petersburg, Russia","Dept. of Informatics, University Paris-12, Cr\u00e9teil, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Informatics, University Paris-12, 61 Av. du G\u00e9n. de Gaulle, 94010, Cr\u00e9teil, France","institution_ids":["https://openalex.org/I197681013"]},{"raw_affiliation_string":"Inst. for Informatics, Acad. of Sci. of Russia, St-Petersburg, Russia","institution_ids":["https://openalex.org/I4210103826"]},{"raw_affiliation_string":"Dept. of Informatics, University Paris-12, Cr\u00e9teil, France","institution_ids":["https://openalex.org/I197681013"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2045,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.44894027,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"114","last_page":"129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9958000183105469,"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":0.9958000183105469,"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9907000064849854,"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"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/mathematics","display_name":"Mathematics","score":0.7390411496162415},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.6097588539123535},{"id":"https://openalex.org/keywords/n-connected","display_name":"n-connected","score":0.5565111637115479},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.5326938629150391},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5115726590156555},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4961584508419037},{"id":"https://openalex.org/keywords/shortest-path-problem","display_name":"Shortest path problem","score":0.4643675684928894},{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.411862850189209},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40792661905288696},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38167208433151245},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21673175692558289},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.19068413972854614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15475445985794067},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1224105954170227},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11459541320800781}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7390411496162415},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.6097588539123535},{"id":"https://openalex.org/C191752858","wikidata":"https://www.wikidata.org/wiki/Q6358325","display_name":"n-connected","level":3,"score":0.5565111637115479},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.5326938629150391},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5115726590156555},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4961584508419037},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.4643675684928894},{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.411862850189209},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40792661905288696},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38167208433151245},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21673175692558289},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.19068413972854614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15475445985794067},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1224105954170227},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11459541320800781},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/3-540-63163-1_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-63163-1_9","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:10.1.1.36.3243","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.36.3243","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.maths.univ-rennes1.fr/~dima/pub/prosteishaya_aaecc5.ps","raw_type":"text"},{"id":"pmh:oai:HAL:hal-03049425v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03049425","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0302-9743","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03049425v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03049425","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0302-9743","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W136633354","https://openalex.org/W209877106","https://openalex.org/W574660464","https://openalex.org/W1971666500","https://openalex.org/W1991813962","https://openalex.org/W2001255903","https://openalex.org/W2020449301","https://openalex.org/W2050186873","https://openalex.org/W2070202730","https://openalex.org/W2071846104","https://openalex.org/W2078370308","https://openalex.org/W2081751185","https://openalex.org/W2102074804","https://openalex.org/W2126353399","https://openalex.org/W2170220350","https://openalex.org/W2214957245","https://openalex.org/W6616476735"],"related_works":["https://openalex.org/W2608536130","https://openalex.org/W2102467404","https://openalex.org/W2987051945","https://openalex.org/W53644101","https://openalex.org/W2154329468","https://openalex.org/W2389833224","https://openalex.org/W2952105607","https://openalex.org/W2919432047","https://openalex.org/W4288482056","https://openalex.org/W121514703"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
