{"id":"https://openalex.org/W298601666","doi":"https://doi.org/10.1137/15m1021118","title":"An Upper Bound on the Sizes of Multiset-Union-Free Families","display_name":"An Upper Bound on the Sizes of Multiset-Union-Free Families","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W298601666","doi":"https://doi.org/10.1137/15m1021118","mag":"298601666"},"language":"en","primary_location":{"id":"doi:10.1137/15m1021118","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1021118","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/1412.8415","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004351362","display_name":"Or Ordentlich","orcid":"https://orcid.org/0000-0002-5791-7923"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Or Ordentlich","raw_affiliation_strings":["Tel-Aviv  University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel-Aviv  University","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032708627","display_name":"Ofer Shayevitz","orcid":"https://orcid.org/0000-0003-4321-0318"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ofer Shayevitz","raw_affiliation_strings":["Tel-Aviv  University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel-Aviv  University","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3253,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.74976526,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"30","issue":"2","first_page":"1032","last_page":"1045"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9988999962806702,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9988999962806702,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9559000134468079,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.949999988079071,"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/multiset","display_name":"Multiset","score":0.9904690384864807},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7540433406829834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.641276478767395},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5829121470451355},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4544740617275238},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37614211440086365},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07630908489227295},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.06688797473907471},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.035493940114974976}],"concepts":[{"id":"https://openalex.org/C2779623528","wikidata":"https://www.wikidata.org/wiki/Q864377","display_name":"Multiset","level":2,"score":0.9904690384864807},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7540433406829834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.641276478767395},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5829121470451355},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4544740617275238},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37614211440086365},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07630908489227295},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.06688797473907471},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.035493940114974976}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/15m1021118","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1021118","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1412.8415","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1412.8415","pdf_url":"https://arxiv.org/pdf/1412.8415","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":"text"},{"id":"mag:298601666","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1412.8415.pdf","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:oai:dspace.mit.edu:1721.1/106586","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/106586","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM","raw_type":"http://purl.org/eprint/type/JournalArticle"},{"id":"doi:10.48550/arxiv.1412.8415","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1412.8415","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":"pmh:oai:arXiv.org:1412.8415","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1412.8415","pdf_url":"https://arxiv.org/pdf/1412.8415","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":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.8299999833106995}],"awards":[{"id":"https://openalex.org/G950296825","display_name":null,"funder_award_id":"1367/14","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320322596","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49"},{"id":"https://openalex.org/F4320337313","display_name":"Yitzhak and Chaya Weinstein Research Institute for Signal Processing, Tel Aviv University","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W298601666.pdf","grobid_xml":"https://content.openalex.org/works/W298601666.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1915069679","https://openalex.org/W1970105392","https://openalex.org/W1978382377","https://openalex.org/W1993730784","https://openalex.org/W2059958442","https://openalex.org/W2065338886","https://openalex.org/W2068871408","https://openalex.org/W2094760650","https://openalex.org/W2099111195","https://openalex.org/W2123114258","https://openalex.org/W2127768309","https://openalex.org/W2137384791","https://openalex.org/W2141432745","https://openalex.org/W2149407563","https://openalex.org/W2150412388","https://openalex.org/W2159734452","https://openalex.org/W2160841597"],"related_works":[],"abstract_inverted_index":{"Let":[0],"$\\mathcal{F}_1$":[1,16],"and":[2,17,26,33,43,64],"$\\mathcal{F}_2$":[3,18],"be":[4],"two":[5],"families":[6],"of":[7,9,56,62],"subsets":[8],"an":[10],"$n$-element":[11],"set.":[12],"We":[13,46],"say":[14],"that":[15],"are":[19,36],"multiset-union-free":[20,57],"if":[21],"for":[22],"any":[23],"$A,B\\in":[24],"\\mathcal{F}_1$":[25],"$C,D\\in":[27],"\\mathcal{F}_2$":[28],"the":[29,53],"multisets":[30],"$A\\uplus":[31],"C$":[32],"$B\\uplus":[34],"D$":[35],"different,":[37],"unless":[38],"both":[39],"$A":[40],"=":[41],"B$":[42],"$C=":[44],"D$.":[45],"derive":[47],"a":[48,60],"new":[49],"upper":[50],"bound":[51],"on":[52],"maximal":[54],"sizes":[55],"pairs,":[58],"improving":[59],"result":[61],"Urbanke":[63],"Li.":[65]},"counts_by_year":[{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
