{"id":"https://openalex.org/W3034535911","doi":"https://doi.org/10.1007/s00493-021-4743-y","title":"Packing Directed Cycles Quarter- and Half-Integrally","display_name":"Packing Directed Cycles Quarter- and Half-Integrally","publication_year":2022,"publication_date":"2022-09-21","ids":{"openalex":"https://openalex.org/W3034535911","doi":"https://doi.org/10.1007/s00493-021-4743-y","mag":"3034535911"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-021-4743-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-021-4743-y","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/A5027217082","display_name":"Tom\u00e1\u0161 Masa\u0159\u00edk","orcid":"https://orcid.org/0000-0001-8524-4036"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]},{"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":["CZ","PL"],"is_corresponding":true,"raw_author_name":"Tom\u00e1\u0161 Masa\u0159\u00edk","raw_affiliation_strings":["Department of Applied Mathematics, Charles University, Prague, Czech Republic","Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Charles University, Prague, Czech Republic","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048273965","display_name":"Irene Muzi","orcid":"https://orcid.org/0000-0003-2410-6523"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Irene Muzi","raw_affiliation_strings":["Technische Universit\u00e4t, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059330513","display_name":"Marcin Pilipczuk","orcid":"https://orcid.org/0000-0001-5680-7397"},"institutions":[{"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":["PL"],"is_corresponding":false,"raw_author_name":"Marcin Pilipczuk","raw_affiliation_strings":["Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047941027","display_name":"Pawe\u0142 Rz\u0105\u017cewski","orcid":"https://orcid.org/0000-0001-7696-3848"},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Pawe\u0142 Rz\u0105\u017cewski","raw_affiliation_strings":["Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland","institution_ids":["https://openalex.org/I108403487"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033440939","display_name":"Manuel Sorge","orcid":"https://orcid.org/0000-0001-7394-3147"},"institutions":[{"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":["PL"],"is_corresponding":false,"raw_author_name":"Manuel Sorge","raw_affiliation_strings":["Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5027217082"],"corresponding_institution_ids":["https://openalex.org/I21250087","https://openalex.org/I4654613"],"apc_list":null,"apc_paid":null,"fwci":0.4511,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.62667252,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"42","issue":"S2","first_page":"1409","last_page":"1438"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9975000023841858,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9898999929428101,"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/combinatorics","display_name":"Combinatorics","score":0.8923313617706299},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8437395095825195},{"id":"https://openalex.org/keywords/feedback-vertex-set","display_name":"Feedback vertex set","score":0.6922792196273804},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6369529366493225},{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.5938584208488464},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.49229562282562256},{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.4917147755622864},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.48817330598831177},{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.46789467334747314},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4503275156021118},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4387558400630951},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42050057649612427},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.13930293917655945},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10416212677955627}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8923313617706299},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8437395095825195},{"id":"https://openalex.org/C28723256","wikidata":"https://www.wikidata.org/wiki/Q1400918","display_name":"Feedback vertex set","level":4,"score":0.6922792196273804},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6369529366493225},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.5938584208488464},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.49229562282562256},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.4917147755622864},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.48817330598831177},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.46789467334747314},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4503275156021118},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4387558400630951},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42050057649612427},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.13930293917655945},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10416212677955627},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00493-021-4743-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-021-4743-y","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1976463682","https://openalex.org/W1999867351","https://openalex.org/W2002722727","https://openalex.org/W2007627758","https://openalex.org/W2033480692","https://openalex.org/W2037750191","https://openalex.org/W2040831377","https://openalex.org/W2054167510","https://openalex.org/W2057826895","https://openalex.org/W2064656298","https://openalex.org/W2066666508","https://openalex.org/W2079566953","https://openalex.org/W2085348754","https://openalex.org/W2122997342","https://openalex.org/W2127985326","https://openalex.org/W2332112754","https://openalex.org/W2563767922","https://openalex.org/W2888605242","https://openalex.org/W2963901410","https://openalex.org/W4252529633","https://openalex.org/W6601641286","https://openalex.org/W6629702091","https://openalex.org/W6634930440"],"related_works":["https://openalex.org/W143702185","https://openalex.org/W1988947197","https://openalex.org/W1999214321","https://openalex.org/W1518627384","https://openalex.org/W2085731789","https://openalex.org/W3093083067","https://openalex.org/W2402064113","https://openalex.org/W4306309783","https://openalex.org/W2107646561","https://openalex.org/W1667353902"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2020-06-19T00:00:00"}