{"id":"https://openalex.org/W4317383335","doi":"https://doi.org/10.1137/22m1476150","title":"A Kneser-Type Theorem for Restricted Sumsets","display_name":"A Kneser-Type Theorem for Restricted Sumsets","publication_year":2023,"publication_date":"2023-01-18","ids":{"openalex":"https://openalex.org/W4317383335","doi":"https://doi.org/10.1137/22m1476150"},"language":"en","primary_location":{"id":"doi:10.1137/22m1476150","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1476150","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":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033758323","display_name":"Mario Huicochea","orcid":null},"institutions":[{"id":"https://openalex.org/I47400469","display_name":"Universidad Aut\u00f3noma de Zacatecas \"Francisco Garc\u00eda Salinas\"","ror":"https://ror.org/01m296r74","country_code":"MX","type":"education","lineage":["https://openalex.org/I47400469"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Mario Huicochea","raw_affiliation_strings":["CONACYT/UAZ, Zacatecas, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CONACYT/UAZ, Zacatecas, Mexico","institution_ids":["https://openalex.org/I47400469"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5033758323"],"corresponding_institution_ids":["https://openalex.org/I47400469"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05304944,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":"1","first_page":"83","last_page":"93"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9962000250816345,"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":0.9044913649559021},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6089102029800415},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5918886661529541},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5053680539131165},{"id":"https://openalex.org/keywords/additive-group","display_name":"Additive group","score":0.43934890627861023},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42629337310791016},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.33893322944641113}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9044913649559021},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6089102029800415},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5918886661529541},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5053680539131165},{"id":"https://openalex.org/C2779483109","wikidata":"https://www.wikidata.org/wiki/Q4681347","display_name":"Additive group","level":3,"score":0.43934890627861023},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42629337310791016},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.33893322944641113},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1476150","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1476150","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W590122907","https://openalex.org/W1574629728","https://openalex.org/W1818472233","https://openalex.org/W2008670878","https://openalex.org/W2026324195","https://openalex.org/W2031357976","https://openalex.org/W2105395737","https://openalex.org/W2106884280","https://openalex.org/W2319414173","https://openalex.org/W2479604145","https://openalex.org/W2773806639","https://openalex.org/W2912209775","https://openalex.org/W2963254917","https://openalex.org/W2964269379","https://openalex.org/W3000449594","https://openalex.org/W3102216609"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W2002282073","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W2790190308","https://openalex.org/W1991411408"],"abstract_inverted_index":{"Abstract.":[0],"Let":[1],"[Formula:":[2,10,14,22,26,43,49,53,57,62,66,86,101,104,109,113,121,125,130,134,138,142,156,164,168,172,188,192,206,210,231,236,244,256,263,267,271],"see":[3,11,15,23,27,44,50,54,58,63,67,87,102,105,110,114,122,126,131,135,139,143,157,165,169,173,189,193,207,211,232,237,245,257,264,268,272],"text]":[4,12,16,24,51,103,111,123,132,158,166,170,190,208,233,238,258,265,269],"be":[5,17],"a":[6,32,79,152,215],"commutative":[7],"group":[8],"and":[9,13,25,39,137,184,202],"nonempty":[18],"finite":[19],"subsets":[20,187,205],"of":[21,52,161,191,209,217,221,235,243,255,260],"text].":[28,45,59,68,88,144,174,194,212,273],"Kneser\u2019s":[29],"theorem":[30,81],"is":[31,76,117,225],"fundamental":[33],"result":[34,220],"in":[35,72,239],"additive":[36,73],"number":[37,74],"theory,":[38],"it":[40,196,224],"establishes":[41],"that":[42,99,129,227],"For":[46,60],"any":[47,61],"subset":[48],"text],":[55,64,106,246],"write":[56],"set":[65],"An":[69],"important":[70],"problem":[71,153,176],"theory":[75],"to":[77,154,159],"find":[78],"Kneser-type":[80],"for":[82,107,180,199],"the":[83,146,162,218,240,253,261],"restricted":[84],"sumsets":[85],"In":[89,145],"particular,":[90],"more":[91],"than":[92],"20":[93],"years":[94],"ago":[95],"V.":[96],"Lev":[97,149],"proved":[98],"if":[100,228],"all":[108],"(resp.,":[112,124,133],"text])":[115,127],"there":[116],"at":[118],"most":[119],"one":[120],"such":[128],"text]),":[136],"text];":[140],"then":[141,247],"same":[147],"paper,":[148,223],"proposed":[150],"as":[151,214,252],"improve":[155],"something":[160,259],"form":[163,262],"with":[167,266],"whenever":[171,270],"Lev\u2019s":[175],"has":[177],"been":[178],"solved":[179],"some":[181,185],"particular":[182],"groups":[183,201],"specific":[186],"However,":[195],"remains":[197],"open":[198],"arbitrary":[200,203],"large":[204],"Here,":[213],"consequence":[216],"main":[219],"this":[222],"shown":[226],"we":[229,249],"take":[230,251],"instead":[234],"lower":[241],"bound":[242],"indeed":[248],"can":[250],"coefficient":[254]},"counts_by_year":[],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}
