{"id":"https://openalex.org/W1972919209","doi":"https://doi.org/10.1137/110849390","title":"Sink-Stable Sets of Digraphs","display_name":"Sink-Stable Sets of Digraphs","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1972919209","doi":"https://doi.org/10.1137/110849390","mag":"1972919209"},"language":"en","primary_location":{"id":"doi:10.1137/110849390","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110849390","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5068887217","display_name":"D\u00f3ra Erd\u00f6s","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"D\u00f3ra Erd\u00f6s","raw_affiliation_strings":["Boston University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Boston University","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091492325","display_name":"Andr\u00e1s Frank","orcid":"https://orcid.org/0000-0001-6161-4848"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Andr\u00e1s Frank","raw_affiliation_strings":["E\u00f6tv\u00f6s L\u00f3r\u00e1nd Tudom\u00e1nyegyetem"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"E\u00f6tv\u00f6s L\u00f3r\u00e1nd Tudom\u00e1nyegyetem","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086119566","display_name":"Kriszti\u00e1n Kun","orcid":"https://orcid.org/0000-0001-7194-3581"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kriszti\u00e1n Kun","raw_affiliation_strings":["Webra International Kft"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Webra International Kft","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5068887217"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.367,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61113134,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"28","issue":"4","first_page":"1651","last_page":"1674"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9987999796867371,"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":0.9987999796867371,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9983999729156494,"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":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.833048939704895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8041989803314209},{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.7839052677154541},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7196905612945557},{"id":"https://openalex.org/keywords/sharpening","display_name":"Sharpening","score":0.6587740778923035},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.5717612504959106},{"id":"https://openalex.org/keywords/sink","display_name":"Sink (geography)","score":0.5077968239784241},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41733038425445557},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.34163957834243774},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06158649921417236}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.833048939704895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8041989803314209},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.7839052677154541},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7196905612945557},{"id":"https://openalex.org/C2781137444","wikidata":"https://www.wikidata.org/wiki/Q237105","display_name":"Sharpening","level":2,"score":0.6587740778923035},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.5717612504959106},{"id":"https://openalex.org/C143050476","wikidata":"https://www.wikidata.org/wiki/Q194502","display_name":"Sink (geography)","level":2,"score":0.5077968239784241},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41733038425445557},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.34163957834243774},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06158649921417236},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/110849390","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110849390","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:real.mtak.hu:20947","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.469.2876","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.469.2876","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.cs.elte.hu/egres/tr/egres-11-06.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.715.5599","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.715.5599","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.elte.hu/%7Efrank/cikkek/FrankJ66.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1569752386","https://openalex.org/W1602998205","https://openalex.org/W1604158939","https://openalex.org/W1744770877","https://openalex.org/W1978147144","https://openalex.org/W1981468140","https://openalex.org/W2014980475","https://openalex.org/W2021115540","https://openalex.org/W2022535594","https://openalex.org/W2027758271","https://openalex.org/W2043506060","https://openalex.org/W2044935944","https://openalex.org/W2045473475","https://openalex.org/W2061299446","https://openalex.org/W2068157867","https://openalex.org/W2090424186","https://openalex.org/W2144825483","https://openalex.org/W2317303422","https://openalex.org/W2913637164","https://openalex.org/W2988480584","https://openalex.org/W4237970067"],"related_works":["https://openalex.org/W2329932281","https://openalex.org/W64535957","https://openalex.org/W2043790407","https://openalex.org/W99690574","https://openalex.org/W2790788195","https://openalex.org/W2962785705","https://openalex.org/W2121104987","https://openalex.org/W4293584096","https://openalex.org/W4301329442","https://openalex.org/W2953390393"],"abstract_inverted_index":{"We":[0,52],"introduce":[1],"the":[2,16,20,38],"notion":[3],"of":[4,7,19,22,33,41,48,60,65],"sink-stable":[5,24],"sets":[6],"a":[8,12,29,46,55],"digraph":[9],"and":[10,35,45,62,64],"prove":[11],"min-max":[13,31,58],"formula":[14],"for":[15],"maximum":[17],"cardinality":[18],"union":[21],"$k$":[23],"sets.":[25,70],"The":[26],"results":[27,59],"imply":[28],"recent":[30],"theorem":[32],"Abeledo":[34],"Atkinson":[36],"on":[37,67],"Clar":[39],"number":[40],"bipartite":[42],"plane":[43],"graphs":[44],"sharpening":[47],"Minty's":[49],"coloring":[50],"theorem.":[51],"also":[53],"exhibit":[54],"link":[56],"to":[57],"Bessy":[61],"Thomass\u00e9":[63],"Seb\u00f6":[66],"cyclic":[68],"stable":[69]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}
