{"id":"https://openalex.org/W2015942245","doi":"https://doi.org/10.1007/bf01205078","title":"Directed circuits on a torus","display_name":"Directed circuits on a torus","publication_year":1991,"publication_date":"1991-09-01","ids":{"openalex":"https://openalex.org/W2015942245","doi":"https://doi.org/10.1007/bf01205078","mag":"2015942245"},"language":"en","primary_location":{"id":"doi:10.1007/bf01205078","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01205078","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","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/A5031948088","display_name":"Paul Seymour","orcid":"https://orcid.org/0000-0003-0067-4534"},"institutions":[{"id":"https://openalex.org/I2802646204","display_name":"Morristown Medical Center","ror":"https://ror.org/03m6tev69","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I2802646204","https://openalex.org/I67339987"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"P. D. Seymour","raw_affiliation_strings":["Bellcore, 445 South St, 07960, Morristown, New Jersey, U.S.A","Morristown, U.S.A"],"affiliations":[{"raw_affiliation_string":"Bellcore, 445 South St, 07960, Morristown, New Jersey, U.S.A","institution_ids":["https://openalex.org/I2802646204"]},{"raw_affiliation_string":"Morristown, U.S.A","institution_ids":["https://openalex.org/I2802646204"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031948088"],"corresponding_institution_ids":["https://openalex.org/I2802646204"],"apc_list":null,"apc_paid":null,"fwci":2.0453,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.8601452,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":"3","first_page":"261","last_page":"273"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9973999857902527,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9973999857902527,"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":0.9966999888420105,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.9227830171585083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8689287900924683},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.7760882377624512},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7034225463867188},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6588435173034668},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.5737301707267761},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.5545248985290527},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4843505620956421},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.45029518008232117},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4427226185798645},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43159377574920654},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.41326093673706055},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20873770117759705},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08422669768333435},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07554998993873596},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0722622275352478}],"concepts":[{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.9227830171585083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8689287900924683},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.7760882377624512},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7034225463867188},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6588435173034668},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.5737301707267761},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.5545248985290527},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4843505620956421},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.45029518008232117},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4427226185798645},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43159377574920654},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.41326093673706055},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20873770117759705},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08422669768333435},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07554998993873596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0722622275352478},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01205078","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01205078","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","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":3,"referenced_works":["https://openalex.org/W1982584550","https://openalex.org/W2569646339","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W143702185","https://openalex.org/W1988947197","https://openalex.org/W2962877698","https://openalex.org/W4298123451","https://openalex.org/W4255598955","https://openalex.org/W2765600275","https://openalex.org/W2953710272","https://openalex.org/W3088611359","https://openalex.org/W3006501763","https://openalex.org/W4300501056"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
