{"id":"https://openalex.org/W2799299041","doi":"https://doi.org/10.1142/s0218196719500139","title":"Edge ideals of oriented graphs","display_name":"Edge ideals of oriented graphs","publication_year":2018,"publication_date":"2018-11-23","ids":{"openalex":"https://openalex.org/W2799299041","doi":"https://doi.org/10.1142/s0218196719500139","mag":"2799299041"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196719500139","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196719500139","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1805.04167","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065706599","display_name":"Huy T\u00e0i H\u00e0","orcid":"https://orcid.org/0000-0002-6002-3453"},"institutions":[{"id":"https://openalex.org/I114832834","display_name":"Tulane University","ror":"https://ror.org/04vmvtb21","country_code":"US","type":"education","lineage":["https://openalex.org/I114832834"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Huy T\u00e0i H\u00e0","raw_affiliation_strings":["Department of Mathematics Tulane University, 6823 St. Charles Avenue New Orleans, LA 70118, USA","Department of Mathematics, Tulane University, 6823 St. Charles Avenue, New Orleans, LA 70118, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Tulane University, 6823 St. Charles Avenue New Orleans, LA 70118, USA","institution_ids":["https://openalex.org/I114832834"]},{"raw_affiliation_string":"Department of Mathematics, Tulane University, 6823 St. Charles Avenue, New Orleans, LA 70118, USA","institution_ids":["https://openalex.org/I114832834"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045289472","display_name":"Kuei-Nuan Lin","orcid":"https://orcid.org/0000-0002-3320-6246"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kuei-Nuan Lin","raw_affiliation_strings":["Academic Affairs Penn State Greater Allegheny, 4000 University Dr. McKeesport, PA 15132, USA"],"affiliations":[{"raw_affiliation_string":"Academic Affairs Penn State Greater Allegheny, 4000 University Dr. McKeesport, PA 15132, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054249102","display_name":"Susan Morey","orcid":"https://orcid.org/0000-0002-8357-6528"},"institutions":[{"id":"https://openalex.org/I13511017","display_name":"Texas State University","ror":"https://ror.org/05h9q1g27","country_code":"US","type":"education","lineage":["https://openalex.org/I13511017"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Susan Morey","raw_affiliation_strings":["Department of Mathematics Texas State University, 601 University Dr. San Marcos, TX 78666, USA","Department of Mathematics, Texas State University, 601 University Dr., San Marcos, TX 78666, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Texas State University, 601 University Dr. San Marcos, TX 78666, USA","institution_ids":["https://openalex.org/I13511017"]},{"raw_affiliation_string":"Department of Mathematics, Texas State University, 601 University Dr., San Marcos, TX 78666, USA","institution_ids":["https://openalex.org/I13511017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078225960","display_name":"Enrique Reyes","orcid":"https://orcid.org/0000-0002-6005-3337"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]},{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Enrique Reyes","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Centro de Investigaci\u00f3n y de Estudios Avanzados del IPN, Apartado Postal 14\u2013740 07000 Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Centro de Investigaci\u00f3n y de Estudios Avanzados del IPN, Apartado Postal 14\u2013740 07000 Mexico City, Mexico","institution_ids":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089301086","display_name":"Rafael H. Villarreal","orcid":"https://orcid.org/0000-0001-9473-765X"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]},{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Rafael H. Villarreal","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Centro de Investigaci\u00f3n y de Estudios Avanzados del IPN, Apartado Postal 14\u2013740 07000 Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Centro de Investigaci\u00f3n y de Estudios Avanzados del IPN, Apartado Postal 14\u2013740 07000 Mexico City, Mexico","institution_ids":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5065706599"],"corresponding_institution_ids":["https://openalex.org/I114832834"],"apc_list":null,"apc_paid":null,"fwci":1.10165098,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70821405,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"29","issue":"03","first_page":"535","last_page":"559"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9726999998092651,"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/bipartite-graph","display_name":"Bipartite graph","score":0.839414656162262},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7086957693099976},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6377718448638916},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6036388874053955},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45946574211120605},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.42949387431144714}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.839414656162262},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7086957693099976},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6377718448638916},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6036388874053955},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45946574211120605},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.42949387431144714},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0218196719500139","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196719500139","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1805.04167","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.04167","pdf_url":"https://arxiv.org/pdf/1805.04167","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":null},{"id":"doi:10.48550/arxiv.1805.04167","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1805.04167","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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"},{"id":"mag:2799299041","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1805.04167","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.04167","pdf_url":"https://arxiv.org/pdf/1805.04167","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2799299041.pdf","grobid_xml":"https://content.openalex.org/works/W2799299041.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W309443506","https://openalex.org/W1571705051","https://openalex.org/W1644833580","https://openalex.org/W1650845904","https://openalex.org/W1967468678","https://openalex.org/W1996004175","https://openalex.org/W2089328508","https://openalex.org/W2090937322","https://openalex.org/W2101535655","https://openalex.org/W2147593687","https://openalex.org/W2475934900","https://openalex.org/W2799004609","https://openalex.org/W2963609083","https://openalex.org/W3000305115","https://openalex.org/W3105909643","https://openalex.org/W4253998683"],"related_works":["https://openalex.org/W2295974917","https://openalex.org/W2950871115","https://openalex.org/W3173246189","https://openalex.org/W2169703866","https://openalex.org/W2604484030","https://openalex.org/W3022810598","https://openalex.org/W2158442467","https://openalex.org/W3165223974","https://openalex.org/W2967726931","https://openalex.org/W1899721540","https://openalex.org/W2208835436","https://openalex.org/W3088760582","https://openalex.org/W2969335708","https://openalex.org/W2352370335","https://openalex.org/W2092512752","https://openalex.org/W2962750149","https://openalex.org/W2963926238","https://openalex.org/W2607038369","https://openalex.org/W3101986180","https://openalex.org/W2907787040"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,11,28,47,57,65,73,85],"see":[2,12,29,48,58,66,74,86],"text]":[3,13,30,59,67,75,87],"be":[4,14,78,91],"a":[5,19,32,69],"weighted":[6],"oriented":[7],"graph":[8,26,63],"and":[9],"let":[10],"its":[15],"edge":[16],"ideal.":[17],"Under":[18],"natural":[20],"condition":[21],"that":[22],"the":[23,44,54,61],"underlying":[24,62],"(undirected)":[25],"of":[27,36,46,56,64],"contains":[31],"perfect":[33],"matching":[34],"consisting":[35],"leaves,":[37],"we":[38,80],"provide":[39],"several":[40],"equivalent":[41],"conditions":[42],"for":[43],"Cohen\u2013Macaulayness":[45,55],"text].":[49],"We":[50],"also":[51],"completely":[52],"characterize":[53],"when":[60],"is":[68,88],"bipartite":[70],"graph.":[71],"When":[72],"fails":[76],"to":[77,90],"Cohen\u2013Macaulay,":[79],"give":[81],"an":[82],"instance":[83],"where":[84],"shown":[89],"sequentially":[92],"Cohen\u2013Macaulay.":[93]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}