{"id":"https://openalex.org/W1778531840","doi":"https://doi.org/10.37236/4596","title":"Acyclic Subgraphs of Planar Digraphs","display_name":"Acyclic Subgraphs of Planar Digraphs","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1778531840","doi":"https://doi.org/10.37236/4596","mag":"1778531840"},"language":"en","primary_location":{"id":"doi:10.37236/4596","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4596","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i3p7/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i3p7/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089252105","display_name":"Noah Golowich","orcid":"https://orcid.org/0000-0003-2274-7861"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Noah Golowich","raw_affiliation_strings":["Research Science Institute, MIT-PRIMES"],"affiliations":[{"raw_affiliation_string":"Research Science Institute, MIT-PRIMES","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056513353","display_name":"David Rolnick","orcid":"https://orcid.org/0000-0002-2855-393X"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Rolnick","raw_affiliation_strings":["Massachusetts Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089252105"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1031,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.87152366,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"22","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9980000257492065,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9854999780654907,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.9471209049224854},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8839927911758423},{"id":"https://openalex.org/keywords/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.8150100111961365},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7437227964401245},{"id":"https://openalex.org/keywords/feedback-arc-set","display_name":"Feedback arc set","score":0.6221006512641907},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6018545627593994},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.5711719989776611},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5693848133087158},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4166281223297119},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.13495683670043945},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10644325613975525}],"concepts":[{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.9471209049224854},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8839927911758423},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.8150100111961365},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7437227964401245},{"id":"https://openalex.org/C157951044","wikidata":"https://www.wikidata.org/wiki/Q1400910","display_name":"Feedback arc set","level":5,"score":0.6221006512641907},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6018545627593994},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.5711719989776611},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5693848133087158},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4166281223297119},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.13495683670043945},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10644325613975525},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"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/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/4596","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4596","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i3p7/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/4596","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4596","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i3p7/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1778531840.pdf","grobid_xml":"https://content.openalex.org/works/W1778531840.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1972168259","https://openalex.org/W1975433230","https://openalex.org/W2035128192","https://openalex.org/W2046546000","https://openalex.org/W2090769916","https://openalex.org/W2125245799","https://openalex.org/W2162282183","https://openalex.org/W2170077534","https://openalex.org/W2310974924","https://openalex.org/W2480148066","https://openalex.org/W2755175264","https://openalex.org/W2761096769","https://openalex.org/W3170070061","https://openalex.org/W4213087285","https://openalex.org/W4237816319","https://openalex.org/W6659427133","https://openalex.org/W6678676650","https://openalex.org/W6743867818"],"related_works":["https://openalex.org/W4255598955","https://openalex.org/W1778531840","https://openalex.org/W4299411867","https://openalex.org/W2107228433","https://openalex.org/W4287028074","https://openalex.org/W4214487273","https://openalex.org/W2354764436","https://openalex.org/W3191289342","https://openalex.org/W4288723498","https://openalex.org/W2046013031"],"abstract_inverted_index":{"An":[0],"acyclic":[1,14,32,72],"set":[2,8,33,73],"in":[3],"a":[4,7],"digraph":[5,23],"is":[6,58],"of":[9,34,61,74],"vertices":[10,26],"that":[11,20,68],"induces":[12],"an":[13,31,71],"subgraph.":[15],"In":[16],"2011,":[17],"Harutyunyan":[18],"conjectured":[19],"every":[21,46],"planar":[22],"on":[24],"$n$":[25],"without":[27],"directed":[28,47,64],"2-cycles":[29],"possesses":[30],"size":[35,75],"at":[36,51,76],"least":[37,52,77],"$3n/5$.":[38],"We":[39],"prove":[40],"this":[41],"conjecture":[42],"for":[43],"digraphs":[44],"where":[45],"cycle":[48],"has":[49],"length":[50,60],"8.":[53],"More":[54],"generally,":[55],"if":[56],"$g$":[57],"the":[59,62],"shortest":[63],"cycle,":[65],"we":[66],"show":[67],"there":[69],"exists":[70],"$(1":[78],"-":[79],"3/g)n$.":[80]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}