{"id":"https://openalex.org/W1501988270","doi":"https://doi.org/10.1007/s00037-009-0279-z","title":"Reduced Kronecker Coefficients and Counter\u2013Examples to Mulmuley\u2019s Strong Saturation Conjecture SH","display_name":"Reduced Kronecker Coefficients and Counter\u2013Examples to Mulmuley\u2019s Strong Saturation Conjecture SH","publication_year":2009,"publication_date":"2009-11-03","ids":{"openalex":"https://openalex.org/W1501988270","doi":"https://doi.org/10.1007/s00037-009-0279-z","mag":"1501988270"},"language":"en","primary_location":{"id":"doi:10.1007/s00037-009-0279-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-009-0279-z","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0810.3163","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056274414","display_name":"Emmanuel Briand","orcid":"https://orcid.org/0000-0003-4602-1213"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Emmanuel Briand","raw_affiliation_strings":["Departamento de \u00c1lgebra, Facultad de Matem\u00e1ticas, Aptdo. de Correos 1160, 41080, Sevilla, Spain","Facultad de Matem\u00e1ticas, Departamento de \u00c1lgebra, Aptdo. de Correos 1160, 41080, Sevilla, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de \u00c1lgebra, Facultad de Matem\u00e1ticas, Aptdo. de Correos 1160, 41080, Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Departamento de \u00c1lgebra, Aptdo. de Correos 1160, 41080, Sevilla, Spain#TAB#","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054549002","display_name":"Rosa Orellana","orcid":"https://orcid.org/0000-0002-8562-3615"},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rosa Orellana","raw_affiliation_strings":["Mathematics Department, Dartmouth College, 6188 Kemeny Hall, Hanover, NH, 03755, USA","Dartmouth College, Mathematics Department, 6188 Kemeny Hall, 03755, Hanover, NH, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, Dartmouth College, 6188 Kemeny Hall, Hanover, NH, 03755, USA","institution_ids":["https://openalex.org/I107672454"]},{"raw_affiliation_string":"Dartmouth College, Mathematics Department, 6188 Kemeny Hall, 03755, Hanover, NH, USA#TAB#","institution_ids":["https://openalex.org/I107672454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059029585","display_name":"Mercedes Rosas","orcid":"https://orcid.org/0000-0002-7738-5792"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Mercedes Rosas","raw_affiliation_strings":["Departamento de \u00c1lgebra, Facultad de Matem\u00e1ticas, Aptdo. de Correos 1160, 41080, Sevilla, Spain","Facultad de Matem\u00e1ticas, Departamento de \u00c1lgebra, Aptdo. de Correos 1160, 41080, Sevilla, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de \u00c1lgebra, Facultad de Matem\u00e1ticas, Aptdo. de Correos 1160, 41080, Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Departamento de \u00c1lgebra, Aptdo. de Correos 1160, 41080, Sevilla, Spain#TAB#","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056274414"],"corresponding_institution_ids":["https://openalex.org/I79238269"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":2.2188,"has_fulltext":true,"cited_by_count":50,"citation_normalized_percentile":{"value":0.83675843,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"18","issue":"4","first_page":"577","last_page":"600"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994999766349792,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.9113339185714722},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.763984203338623},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6956311464309692},{"id":"https://openalex.org/keywords/saturation","display_name":"Saturation (graph theory)","score":0.5278251767158508},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.45030486583709717},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4455587565898895},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4064924120903015},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3683710992336273},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3443237245082855},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23151767253875732},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11479607224464417},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0718035101890564}],"concepts":[{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.9113339185714722},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.763984203338623},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6956311464309692},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.5278251767158508},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.45030486583709717},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4455587565898895},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4064924120903015},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3683710992336273},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3443237245082855},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23151767253875732},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11479607224464417},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0718035101890564},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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":3,"locations":[{"id":"doi:10.1007/s00037-009-0279-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-009-0279-z","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0810.3163","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0810.3163","pdf_url":"https://arxiv.org/pdf/0810.3163","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":"pmh:oai:dnet:idus________::1db4fa47e176d20bc57ea824d32eb799","is_oa":true,"landing_page_url":"https://idus.us.es/handle/11441/41677","pdf_url":"https://idus.us.es/handle/11441/41677","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0810.3163","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0810.3163","pdf_url":"https://arxiv.org/pdf/0810.3163","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W62593907","https://openalex.org/W1503979395","https://openalex.org/W1508632565","https://openalex.org/W1527197079","https://openalex.org/W1527903774","https://openalex.org/W1585088333","https://openalex.org/W1592315502","https://openalex.org/W1599616892","https://openalex.org/W1617404992","https://openalex.org/W1644123710","https://openalex.org/W1658576563","https://openalex.org/W1661622683","https://openalex.org/W1664429083","https://openalex.org/W1784231845","https://openalex.org/W1968086157","https://openalex.org/W1970853627","https://openalex.org/W1974819272","https://openalex.org/W1978582278","https://openalex.org/W1995509652","https://openalex.org/W2006194525","https://openalex.org/W2006912660","https://openalex.org/W2012855802","https://openalex.org/W2022143736","https://openalex.org/W2074207216","https://openalex.org/W2075426242","https://openalex.org/W2100685311","https://openalex.org/W2120092158","https://openalex.org/W2134984950","https://openalex.org/W2136100392","https://openalex.org/W2140953209","https://openalex.org/W2315352971","https://openalex.org/W2513193117","https://openalex.org/W2776562419","https://openalex.org/W2914659449","https://openalex.org/W2949242693","https://openalex.org/W2952081580","https://openalex.org/W2952966959","https://openalex.org/W2963650498","https://openalex.org/W4210460592","https://openalex.org/W4300546440"],"related_works":["https://openalex.org/W3153509215","https://openalex.org/W4301793409","https://openalex.org/W2952308006","https://openalex.org/W1986375199","https://openalex.org/W300594107","https://openalex.org/W1178061417","https://openalex.org/W2028667466","https://openalex.org/W2044942888","https://openalex.org/W2053206769","https://openalex.org/W2000624095"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}