{"id":"https://openalex.org/W2944144808","doi":"https://doi.org/10.37236/9019","title":"The Asymptotic Induced Matching Number of Hypergraphs: Balanced Binary Strings","display_name":"The Asymptotic Induced Matching Number of Hypergraphs: Balanced Binary Strings","publication_year":2020,"publication_date":"2020-07-24","ids":{"openalex":"https://openalex.org/W2944144808","doi":"https://doi.org/10.37236/9019","mag":"2944144808"},"language":"en","primary_location":{"id":"doi:10.37236/9019","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9019","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i3p12/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i3p12/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5106746003","display_name":"Srinivasan Arunachalam","orcid":"https://orcid.org/0000-0001-6014-6624"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Srinivasan Arunachalam","raw_affiliation_strings":["Massachusetts Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031782909","display_name":"P\u00e9ter Vrana","orcid":"https://orcid.org/0000-0003-0770-0432"},"institutions":[{"id":"https://openalex.org/I29770179","display_name":"Budapest University of Technology and Economics","ror":"https://ror.org/02w42ss30","country_code":"HU","type":"education","lineage":["https://openalex.org/I29770179"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"P\u00e9ter Vrana","raw_affiliation_strings":["Budapest University of Technology and Economics"],"affiliations":[{"raw_affiliation_string":"Budapest University of Technology and Economics","institution_ids":["https://openalex.org/I29770179"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044598882","display_name":"Jeroen Zuiddam","orcid":"https://orcid.org/0000-0003-0651-6238"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jeroen Zuiddam","raw_affiliation_strings":["Institute for Advanced Study"],"affiliations":[{"raw_affiliation_string":"Institute for Advanced Study","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5106746003"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00553539,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"27","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994999766349792,"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/strassen-algorithm","display_name":"Strassen algorithm","score":0.8163580894470215},{"id":"https://openalex.org/keywords/locc","display_name":"LOCC","score":0.7406139373779297},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.7371640801429749},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6911580562591553},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.6110112071037292},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.516160786151886},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5126435160636902},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5001828670501709},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.47976550459861755},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4777882993221283},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.47661009430885315},{"id":"https://openalex.org/keywords/entanglement-distillation","display_name":"Entanglement distillation","score":0.4732901453971863},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.4146946668624878},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.39002424478530884},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36933642625808716},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.2637060582637787},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22982797026634216},{"id":"https://openalex.org/keywords/bell-state","display_name":"Bell state","score":0.2132200300693512},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.20830753445625305},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12697955965995789},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11308026313781738}],"concepts":[{"id":"https://openalex.org/C39096654","wikidata":"https://www.wikidata.org/wiki/Q728507","display_name":"Strassen algorithm","level":4,"score":0.8163580894470215},{"id":"https://openalex.org/C105141246","wikidata":"https://www.wikidata.org/wiki/Q6459475","display_name":"LOCC","level":4,"score":0.7406139373779297},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7371640801429749},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6911580562591553},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.6110112071037292},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.516160786151886},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5126435160636902},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5001828670501709},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.47976550459861755},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4777882993221283},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.47661009430885315},{"id":"https://openalex.org/C162967359","wikidata":"https://www.wikidata.org/wiki/Q5380096","display_name":"Entanglement distillation","level":5,"score":0.4732901453971863},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.4146946668624878},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.39002424478530884},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36933642625808716},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.2637060582637787},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22982797026634216},{"id":"https://openalex.org/C118704821","wikidata":"https://www.wikidata.org/wiki/Q2898260","display_name":"Bell state","level":4,"score":0.2132200300693512},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.20830753445625305},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12697955965995789},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11308026313781738},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.0},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.37236/9019","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9019","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i3p12/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:dare.uva.nl:openaire/edda1ac6-1f58-4575-864c-60a4cd861604","is_oa":false,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/the-asymptotic-induced-matching-number-of-hypergraphs-balanced-binary-strings(edda1ac6-1f58-4575-864c-60a4cd861604).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Arunachalam, S, Vrana, P & Zuiddam, J 2020, 'The asymptotic induced matching number of hypergraphs: Balanced binary strings', Electronic Journal of Combinatorics, vol. 27, no. 3, P3.12. https://doi.org/10.37236/9019","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:1905.03148","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1905.03148","pdf_url":"https://arxiv.org/pdf/1905.03148","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":null,"raw_type":"text"},{"id":"mag:2944144808","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1905.03148","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:uvapub:oai:dare.uva.nl:publications/edda1ac6-1f58-4575-864c-60a4cd861604","is_oa":true,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/the-asymptotic-induced-matching-number-of-hypergraphs-balanced-binary-strings(edda1ac6-1f58-4575-864c-60a4cd861604).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Journal of Combinatorics, 27(3):P3.12. Electronic Journal of Combinatorics","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1905.03148","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1905.03148","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"}],"best_oa_location":{"id":"doi:10.37236/9019","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9019","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i3p12/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1631438410","display_name":null,"funder_award_id":"2017-1.2.1-NKP-2017-00001","funder_id":"https://openalex.org/F4320335908","funder_display_name":"Nemzeti Kutat\u00e1si, Fejleszt\u00e9si \u00e9s Innovaci\u00f3s Alap"},{"id":"https://openalex.org/G3663291160","display_name":null,"funder_award_id":"KH129601","funder_id":"https://openalex.org/F4320335908","funder_display_name":"Nemzeti Kutat\u00e1si, Fejleszt\u00e9si \u00e9s Innovaci\u00f3s Alap"},{"id":"https://openalex.org/G607235433","display_name":null,"funder_award_id":"1638352","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6587640740","display_name":null,"funder_award_id":"K124152","funder_id":"https://openalex.org/F4320335908","funder_display_name":"Nemzeti Kutat\u00e1si, Fejleszt\u00e9si \u00e9s Innovaci\u00f3s Alap"},{"id":"https://openalex.org/G6868708400","display_name":null,"funder_award_id":"DMS-1638352","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320335908","display_name":"Nemzeti Kutat\u00e1si, Fejleszt\u00e9si \u00e9s Innovaci\u00f3s Alap","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2944144808.pdf","grobid_xml":"https://content.openalex.org/works/W2944144808.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W135913015","https://openalex.org/W1561337879","https://openalex.org/W1565043606","https://openalex.org/W1979740015","https://openalex.org/W2015819231","https://openalex.org/W2017154611","https://openalex.org/W2017899631","https://openalex.org/W2103749128","https://openalex.org/W2106221905","https://openalex.org/W2304852376","https://openalex.org/W2407637222","https://openalex.org/W2463059379","https://openalex.org/W2497858693","https://openalex.org/W2499901585","https://openalex.org/W2515360876","https://openalex.org/W2759518176","https://openalex.org/W2774301715","https://openalex.org/W2905496525","https://openalex.org/W2905535674","https://openalex.org/W2937696121","https://openalex.org/W2953080256","https://openalex.org/W2963154501","https://openalex.org/W2963631653","https://openalex.org/W2964148686","https://openalex.org/W2964300648","https://openalex.org/W2964329200","https://openalex.org/W2964549137","https://openalex.org/W2966413307","https://openalex.org/W3003895133","https://openalex.org/W3099671403","https://openalex.org/W3103666173","https://openalex.org/W3106434744","https://openalex.org/W3122919078","https://openalex.org/W3199350616","https://openalex.org/W4231247888","https://openalex.org/W4240666298"],"related_works":["https://openalex.org/W1546761470","https://openalex.org/W2963221226","https://openalex.org/W3202370373","https://openalex.org/W2797346236","https://openalex.org/W2950472698","https://openalex.org/W2338736623","https://openalex.org/W3103046569","https://openalex.org/W3128324875","https://openalex.org/W3008523995","https://openalex.org/W3113642132","https://openalex.org/W2962802515","https://openalex.org/W3037939171","https://openalex.org/W2728671143","https://openalex.org/W3098084575","https://openalex.org/W289478640","https://openalex.org/W2138262447","https://openalex.org/W2951415034","https://openalex.org/W3172972780","https://openalex.org/W2772681406","https://openalex.org/W2994932301"],"abstract_inverted_index":{"We":[0],"compute":[1],"the":[2,8,15,34,38,59,62,71,74,83,89],"asymptotic":[3,84],"induced":[4,85],"matching":[5,86],"number":[6,27],"of":[7,18,37,61,64,70,73,113,122,125],"$k$-partite":[9],"$k$-uniform":[10],"hypergraphs":[11],"whose":[12],"edges":[13],"are":[14],"$k$-bit":[16],"strings":[17],"Hamming":[19,127],"weight":[20,128],"$k/2$,":[21],"for":[22],"any":[23],"large":[24],"enough":[25],"even":[26],"$k$.":[28],"Our":[29,54],"lower":[30],"bound":[31],"relies":[32,104],"on":[33,82,105],"higher-order":[35],"extension":[36],"well-known":[39],"Coppersmith\u2013Winograd":[40],"method":[41,66],"from":[42],"algebraic":[43],"complexity":[44],"theory,":[45,95],"which":[46],"was":[47],"proven":[48],"by":[49,58],"Christandl,":[50],"Vrana":[51],"and":[52,88,99],"Zuiddam.":[53],"result":[55],"is":[56],"motivated":[57],"study":[60],"power":[63,72],"this":[65],"as":[67,69],"well":[68],"Strassen":[75],"support":[76],"functionals":[77],"(which":[78],"provide":[79],"upper":[80],"bounds":[81],"number),":[87],"connections":[90],"to":[91],"questions":[92],"in":[93,133],"tensor":[94],"quantum":[96],"information":[97],"theory":[98],"theoretical":[100],"computer":[101],"science.Our":[102],"proof":[103],"a":[106,134],"new":[107],"combinatorial":[108],"inequality":[109,117],"that":[110],"may":[111],"be":[112],"independent":[114],"interest.":[115],"This":[116],"concerns":[118],"how":[119],"many":[120],"pairs":[121],"Boolean":[123],"vectors":[124],"fixed":[126,135],"can":[129],"have":[130],"their":[131],"sum":[132],"subspace.":[136]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}