{"id":"https://openalex.org/W1487119837","doi":"https://doi.org/10.37236/1845","title":"Dominance Order and Graphical Partitions","display_name":"Dominance Order and Graphical Partitions","publication_year":2004,"publication_date":"2004-03-05","ids":{"openalex":"https://openalex.org/W1487119837","doi":"https://doi.org/10.37236/1845","mag":"1487119837"},"language":"en","primary_location":{"id":"doi:10.37236/1845","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1845","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1n4/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":null,"license_id":null,"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/v11i1n4/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090151569","display_name":"Axel Kohnert","orcid":null},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Axel Kohnert","raw_affiliation_strings":["Lehrstuhl Mathematik II University of Bayreuth 95440 Bayreuth Germany","University of Bayreuth,"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl Mathematik II University of Bayreuth 95440 Bayreuth Germany","institution_ids":["https://openalex.org/I54009628"]},{"raw_affiliation_string":"University of Bayreuth,","institution_ids":["https://openalex.org/I54009628"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090151569"],"corresponding_institution_ids":["https://openalex.org/I54009628"],"apc_list":null,"apc_paid":null,"fwci":0.2759,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.5612614,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"11","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9858999848365784,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9571999907493591,"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/mathematics","display_name":"Mathematics","score":0.8508216738700867},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7298262119293213},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.6741206645965576},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6355165243148804},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5264830589294434},{"id":"https://openalex.org/keywords/dominance","display_name":"Dominance (genetics)","score":0.47430872917175293},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.446031391620636},{"id":"https://openalex.org/keywords/graphical-model","display_name":"Graphical model","score":0.41357940435409546},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36918872594833374},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18094894289970398},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14738154411315918}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8508216738700867},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7298262119293213},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.6741206645965576},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6355165243148804},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5264830589294434},{"id":"https://openalex.org/C151913843","wikidata":"https://www.wikidata.org/wiki/Q3454555","display_name":"Dominance (genetics)","level":3,"score":0.47430872917175293},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.446031391620636},{"id":"https://openalex.org/C155846161","wikidata":"https://www.wikidata.org/wiki/Q1143367","display_name":"Graphical model","level":2,"score":0.41357940435409546},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36918872594833374},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18094894289970398},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14738154411315918},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/1845","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1845","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1n4/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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.3.4284","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.4284","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_11/PDF/v11i1n4.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.4.4260","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.4.4260","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_11/PostScriptfiles/v11i1n4.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.4.8988","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.4.8988","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathe2.uni-bayreuth.de/axel/papers/./kohnert:dominance_order_and_graphical_partitions.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/1845","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1845","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1n4/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":null,"license_id":null,"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/W1487119837.pdf","grobid_xml":"https://content.openalex.org/works/W1487119837.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W1602235267","https://openalex.org/W1611657144","https://openalex.org/W2099254026"],"related_works":["https://openalex.org/W3086542228","https://openalex.org/W2145358719","https://openalex.org/W1985638002","https://openalex.org/W3025390008","https://openalex.org/W2046862729","https://openalex.org/W2126265554","https://openalex.org/W2021623779","https://openalex.org/W2038870930","https://openalex.org/W2002199085","https://openalex.org/W2016416733"],"abstract_inverted_index":{"We":[0,8],"gave":[1],"a":[2,10],"new":[3,11],"criterion":[4],"for":[5,28],"graphical":[6,23],"partitions.":[7],"derive":[9],"recursion":[12],"formula,":[13],"which":[14],"allows":[15],"the":[16,19],"computation":[17],"of":[18,22,25],"number":[20],"$g(n)$":[21],"partitions":[24],"weight":[26],"$n$":[27],"up":[29],"to":[30],"$n&gt;900$.":[31]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
