{"id":"https://openalex.org/W2169220769","doi":"https://doi.org/10.1090/dimacs/001/13","title":"Vertex-disjoint simple paths of given homotopy in a planar graph","display_name":"Vertex-disjoint simple paths of given homotopy in a planar graph","publication_year":1991,"publication_date":"1991-04-03","ids":{"openalex":"https://openalex.org/W2169220769","doi":"https://doi.org/10.1090/dimacs/001/13","mag":"2169220769"},"language":"en","primary_location":{"id":"doi:10.1090/dimacs/001/13","is_oa":true,"landing_page_url":"https://doi.org/10.1090/dimacs/001/13","pdf_url":"http://www.ams.org/dimacs/001/dimacs001.pdf","source":{"id":"https://openalex.org/S4210177973","display_name":"DIMACS series in discrete mathematics and theoretical computer science","issn_l":"1052-1798","issn":["1052-1798","2472-4793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"http://www.ams.org/dimacs/001/dimacs001.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091492325","display_name":"Andr\u00e1s Frank","orcid":"https://orcid.org/0000-0001-6161-4848"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Frank","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5028190074","display_name":"Alexander Schrijver","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Schrijver","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.809,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.83870968,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9815000295639038,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9815000295639038,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9771000146865845,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.941100001335144,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6328520178794861},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.627801239490509},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.5999826192855835},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.566469669342041},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.52741539478302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5256182551383972},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.47583842277526855},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4663943946361542},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3555952310562134},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2096925973892212}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6328520178794861},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.627801239490509},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.5999826192855835},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.566469669342041},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.52741539478302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5256182551383972},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.47583842277526855},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4663943946361542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3555952310562134},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2096925973892212},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/dimacs/001/13","is_oa":true,"landing_page_url":"https://doi.org/10.1090/dimacs/001/13","pdf_url":"http://www.ams.org/dimacs/001/dimacs001.pdf","source":{"id":"https://openalex.org/S4210177973","display_name":"DIMACS series in discrete mathematics and theoretical computer science","issn_l":"1052-1798","issn":["1052-1798","2472-4793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science","raw_type":"book-chapter"},{"id":"pmh:cwi:oai:cwi.nl:1608","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/1608","pdf_url":"https://ir.cwi.nl/pub/1608/1608D.pdf","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":{"id":"doi:10.1090/dimacs/001/13","is_oa":true,"landing_page_url":"https://doi.org/10.1090/dimacs/001/13","pdf_url":"http://www.ams.org/dimacs/001/dimacs001.pdf","source":{"id":"https://openalex.org/S4210177973","display_name":"DIMACS series in discrete mathematics and theoretical computer science","issn_l":"1052-1798","issn":["1052-1798","2472-4793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2169220769.pdf","grobid_xml":"https://content.openalex.org/works/W2169220769.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W1964492612","https://openalex.org/W1970607766","https://openalex.org/W2003160050","https://openalex.org/W2021542269","https://openalex.org/W2036265926"],"related_works":["https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W4256429076","https://openalex.org/W2012063272","https://openalex.org/W2348092930","https://openalex.org/W2062850566","https://openalex.org/W4308716484","https://openalex.org/W1606013690","https://openalex.org/W4293743430","https://openalex.org/W3006156235"],"abstract_inverted_index":{"We":[0],"characterize":[1],"the":[2,27,31,34,57,67],"existence":[3],"of":[4,14,26,56,61],"pairwise":[5],"vertex-disjoint":[6],"simple":[7],"paths":[8,28],"P":[9],"1":[10],",":[11,12],"Pk":[13],"prescribed":[15],"homotopy":[16],"in":[17,33],"a":[18,39,63],"given":[19],"planar":[20],"graph":[21],"when":[22],"all":[23],"end":[24],"points":[25],"are":[29,51],"at":[30],"\"holes\"":[32],"plane.":[35],"Moreover,":[36],"we":[37],"give":[38],"polynomial-time":[40],"algorithm":[41],"for":[42],"finding":[43],"these":[44],"paths,":[45],"if":[46],"they":[47],"exist.":[48],"Our":[49],"methods":[50],"polyhedral":[52],"and":[53,60],"make":[54],"use":[55],"ellipsoid":[58],"method":[59],"considering":[62],"fractional":[64],"solution":[65],"to":[66],"packing":[68],"problem.":[69]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-07T06:01:17.266235","created_date":"2025-10-10T00:00:00"}