{"id":"https://openalex.org/W2203509698","doi":"https://doi.org/10.23638/dmtcs-19-1-7","title":"On the shelling antimatroids of split graphs","display_name":"On the shelling antimatroids of split graphs","publication_year":2017,"publication_date":"2017-03-24","ids":{"openalex":"https://openalex.org/W2203509698","doi":"https://doi.org/10.23638/dmtcs-19-1-7","mag":"2203509698"},"language":"en","primary_location":{"id":"doi:10.23638/dmtcs-19-1-7","is_oa":true,"landing_page_url":"https://doi.org/10.23638/dmtcs-19-1-7","pdf_url":"https://dmtcs.episciences.org/3201/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics &amp; Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dmtcs.episciences.org/3201/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011369568","display_name":"Jean Cardinal","orcid":"https://orcid.org/0000-0002-2312-0967"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Jean Cardinal","raw_affiliation_strings":["Universit\u00e9 libre de Bruxelles , Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 libre de Bruxelles , Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043803465","display_name":"Jean\u2010Paul Doignon","orcid":"https://orcid.org/0000-0003-4344-3808"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Jean-Paul Doignon","raw_affiliation_strings":["Universit\u00e9 libre de Bruxelles , Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 libre de Bruxelles , Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051519415","display_name":"Keno Merckx","orcid":null},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Keno Merckx","raw_affiliation_strings":["Universit\u00e9 libre de Bruxelles , Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 libre de Bruxelles , Belgium","institution_ids":["https://openalex.org/I132053463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I132053463"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00608708,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"Vol. 19 no. 1","issue":"Combinatorics","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9932000041007996,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9932000041007996,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9772999882698059,"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/T11567","display_name":"semigroups and automata theory","score":0.9603000283241272,"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/partially-ordered-set","display_name":"Partially ordered set","score":0.7666066884994507},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6951725482940674},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.6838503479957581},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6193546056747437},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.613196074962616},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6023113131523132},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5483523011207581},{"id":"https://openalex.org/keywords/simple-graph","display_name":"Simple graph","score":0.4539591372013092},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4213274419307709},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41211560368537903},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2646051049232483},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.13471895456314087}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.7666066884994507},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6951725482940674},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.6838503479957581},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6193546056747437},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.613196074962616},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6023113131523132},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5483523011207581},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.4539591372013092},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4213274419307709},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41211560368537903},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2646051049232483},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.13471895456314087},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.23638/dmtcs-19-1-7","is_oa":true,"landing_page_url":"https://doi.org/10.23638/dmtcs-19-1-7","pdf_url":"https://dmtcs.episciences.org/3201/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics &amp; Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1512.06073","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1512.06073","pdf_url":"https://arxiv.org/pdf/1512.06073","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2203509698","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1512.06073","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:dipot.ulb.ac.be:2013/261232","is_oa":false,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/261232","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete mathematics and theoretical computer science, 19 (1","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:0c825cecd6b646879f4d70e9ea2a1ef3","is_oa":true,"landing_page_url":"https://doaj.org/article/0c825cecd6b646879f4d70e9ea2a1ef3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics & Theoretical Computer Science, Vol Vol. 19 no. 1, Iss Combinatorics (2017)","raw_type":"article"},{"id":"doi:10.48550/arxiv.1512.06073","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1512.06073","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.23638/dmtcs-19-1-7","is_oa":true,"landing_page_url":"https://doi.org/10.23638/dmtcs-19-1-7","pdf_url":"https://dmtcs.episciences.org/3201/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics &amp; Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2203509698.pdf","grobid_xml":"https://content.openalex.org/works/W2203509698.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2619340380","https://openalex.org/W2915097205","https://openalex.org/W2516915198","https://openalex.org/W1548610922","https://openalex.org/W1599166789","https://openalex.org/W1493594393","https://openalex.org/W2251679127","https://openalex.org/W2530575142","https://openalex.org/W35535541","https://openalex.org/W2974092235","https://openalex.org/W1560723985","https://openalex.org/W1838738933","https://openalex.org/W1975173901","https://openalex.org/W1971556138","https://openalex.org/W2969026925","https://openalex.org/W3109973183","https://openalex.org/W2694242219","https://openalex.org/W2912875731","https://openalex.org/W1525542311","https://openalex.org/W40949737"],"abstract_inverted_index":{"Chordal":[0],"graph":[1,39],"shelling":[2,25,40,56],"antimatroids":[3,57],"have":[4],"received":[5],"little":[6],"attention":[7],"with":[8],"regard":[9],"to":[10,20,53,74],"their":[11],"combinatorial":[12],"properties":[13],"and":[14,90],"related":[15],"optimization":[16],"problems,":[17],"as":[18],"compared":[19],"the":[21,37,45,60,88,91],"case":[22,32],"of":[23,33,48,87],"poset":[24,55],"antimatroids.":[26,41],"Here":[27],"we":[28],"consider":[29],"a":[30,64,70,76,84],"special":[31],"these":[34],"antimatroids,":[35],"namely":[36],"split":[38],"We":[42,62,81],"show":[43],"that":[44],"feasible":[46,79],"sets":[47],"such":[49],"an":[50],"antimatroid":[51],"relate":[52],"some":[54],"constructed":[58],"from":[59],"graph.":[61],"discuss":[63],"few":[65],"applications,":[66],"obtaining":[67],"in":[68],"particular":[69],"simple":[71,85],"polynomial-time":[72],"algorithm":[73],"find":[75],"maximum":[77],"weight":[78],"set.":[80],"also":[82],"provide":[83],"description":[86],"circuits":[89],"free":[92],"sets.":[93]},"counts_by_year":[],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}
