{"id":"https://openalex.org/W3039692898","doi":"https://doi.org/10.1137/19m1248108","title":"Sparse Hypergraphs with Applications to Coding Theory","display_name":"Sparse Hypergraphs with Applications to Coding Theory","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3039692898","doi":"https://doi.org/10.1137/19m1248108","mag":"3039692898"},"language":"en","primary_location":{"id":"doi:10.1137/19m1248108","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1248108","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/A5022619695","display_name":"Chong Shangguan","orcid":"https://orcid.org/0000-0002-3206-3968"},"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":true,"raw_author_name":"Chong Shangguan","raw_affiliation_strings":["Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv 6997801, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv 6997801, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085150941","display_name":"Itzhak Tamo","orcid":"https://orcid.org/0000-0002-8000-0419"},"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":"Itzhak Tamo","raw_affiliation_strings":["Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv 6997801, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv 6997801, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022619695"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":8.2482,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.98971001,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"34","issue":"3","first_page":"1493","last_page":"1504"},"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":0.9993000030517578,"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":0.9993000030517578,"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":0.9990000128746033,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9955999851226807,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.90204918384552},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8241459131240845},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.693855345249176},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.6920902729034424},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6905519366264343},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.6372144222259521},{"id":"https://openalex.org/keywords/independence-number","display_name":"Independence number","score":0.607512891292572},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.4656411409378052},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3553706407546997},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15947389602661133},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.139849454164505}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.90204918384552},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8241459131240845},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.693855345249176},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.6920902729034424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6905519366264343},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.6372144222259521},{"id":"https://openalex.org/C2984853995","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independence number","level":3,"score":0.607512891292572},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.4656411409378052},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3553706407546997},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15947389602661133},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.139849454164505},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1248108","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1248108","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":[{"id":"https://openalex.org/G2877989186","display_name":null,"funder_award_id":"1030/15","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G4127838089","display_name":null,"funder_award_id":"NSF-BSF","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8246453351","display_name":null,"funder_award_id":"2015814","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/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1755426982","https://openalex.org/W1965520462","https://openalex.org/W1993830711","https://openalex.org/W2023600080","https://openalex.org/W2046549378","https://openalex.org/W2052723037","https://openalex.org/W2055241129","https://openalex.org/W2063292248","https://openalex.org/W2067650130","https://openalex.org/W2069023101","https://openalex.org/W2071474047","https://openalex.org/W2079125810","https://openalex.org/W2086208008","https://openalex.org/W2087964954","https://openalex.org/W2088622619","https://openalex.org/W2089062285","https://openalex.org/W2093276208","https://openalex.org/W2096625536","https://openalex.org/W2133795933","https://openalex.org/W2143569998","https://openalex.org/W2150075045","https://openalex.org/W2955640348","https://openalex.org/W2962817083","https://openalex.org/W2963711761","https://openalex.org/W2963720294"],"related_works":["https://openalex.org/W4301330059","https://openalex.org/W2181370180","https://openalex.org/W2949795080","https://openalex.org/W2802561319","https://openalex.org/W4300766548","https://openalex.org/W2518817144","https://openalex.org/W4297791114","https://openalex.org/W2963074540","https://openalex.org/W2392806037","https://openalex.org/W4300853274"],"abstract_inverted_index":{"For":[0,49],"fixed":[1],"integers":[2],"$r\\ge":[3],"3,e\\ge":[4],"3,v\\ge":[5],"r+1$,":[6],"an":[7],"$r$-uniform":[8],"hypergraph":[9,40,112,152],"is":[10,80,115,140],"called":[11],"$\\mathscr{G}_r(v,e)$-free":[12],"if":[13],"the":[14,32,56,60,87,97,136,147,151],"union":[15],"of":[16,35,37,90,135,146],"any":[17,107],"$e$":[18],"distinct":[19],"edges":[20,36],"contains":[21],"at":[22],"least":[23],"$v+1$":[24],"vertices.":[25],"Brown,":[26],"Erd\u00f6s,":[27],"and":[28,53,124,159],"S\u00f3s":[29],"showed":[30],"that":[31,103],"maximum":[33],"number":[34,154],"such":[38],"a":[39,65,81,143],"on":[41,71,142,150],"$n$":[42,52],"vertices,":[43],"denoted":[44],"as":[45],"$f_r(n,v,e)$,":[46],"satisfies":[47],"$\\Omega(n^{\\frac{er-v}{e-1}})=f_r(n,v,e)=O(n^{\\lceil\\frac{er-v}{e-1}\\rceil})$.":[48],"sufficiently":[50],"large":[51],"$e-1\\mid":[54],"er-v$,":[55,76],"lower":[57,99,138,148],"bound":[58,62,100,139,149],"matches":[59],"upper":[61],"up":[63],"to":[64,85,156],"constant":[66],"factor,":[67],"which":[68],"depends":[69],"only":[70],"$r,v,e$;":[72],"whereas":[73],"for":[74,106,119],"$e-1\\nmid":[75],"in":[77,116,130],"general":[78],"it":[79,125],"notoriously":[82],"hard":[83],"problem":[84],"determine":[86],"correct":[88],"exponent":[89],"$n$.":[91],"Among":[92],"other":[93],"results,":[94],"we":[95,113],"improve":[96],"above":[98],"by":[101],"showing":[102],"$f_r(n,v,e)=\\Omega(n^{\\frac{er-v}{e-1}}(\\log":[104],"n)^{\\frac{1}{e-1}})$":[105],"$r,e,v$":[108],"satisfying":[109],"$\\gcd(e-1,er-v)=1$.":[110],"The":[111,133],"constructed":[114],"fact":[117],"$\\mathscr{G}_r(ir-\\lceil\\frac{(i-1)(er-v)}{e-1}\\rceil,i)$-free":[118],"every":[120],"$2\\le":[121],"i\\le":[122],"e$,":[123],"has":[126],"several":[127],"interesting":[128],"applications":[129],"coding":[131],"theory.":[132],"proof":[134],"new":[137],"based":[141],"novel":[144],"application":[145],"independence":[153],"due":[155],"Duke,":[157],"Lefmann,":[158],"R\u00f6dl.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2}],"updated_date":"2026-03-15T09:29:46.208133","created_date":"2025-10-10T00:00:00"}
