{"id":"https://openalex.org/W3161454186","doi":"https://doi.org/10.1137/20m1317529","title":"A Reciprocity on Finite Abelian Groups Involving Zero-Sum Sequences","display_name":"A Reciprocity on Finite Abelian Groups Involving Zero-Sum Sequences","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3161454186","doi":"https://doi.org/10.1137/20m1317529","mag":"3161454186"},"language":"en","primary_location":{"id":"doi:10.1137/20m1317529","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1317529","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/A5084547874","display_name":"Dongchun Han","orcid":"https://orcid.org/0000-0002-5591-4817"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]},{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dongchun Han","raw_affiliation_strings":["Department of Mathematics, Southwest Jiaotong University, Chengdu 610000, P.R. China","School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai 519082, Guangdong, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Southwest Jiaotong University, Chengdu 610000, P.R. China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai 519082, Guangdong, P.R. China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053114505","display_name":"Hanbin Zhang","orcid":"https://orcid.org/0000-0003-1972-4327"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]},{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hanbin Zhang","raw_affiliation_strings":["School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai 519082, Guangdong, P.R. China","Department of Mathematics, Southwest Jiaotong University, Chengdu 610000, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai 519082, Guangdong, P.R. China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Department of Mathematics, Southwest Jiaotong University, Chengdu 610000, P.R. China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084547874"],"corresponding_institution_ids":["https://openalex.org/I157773358","https://openalex.org/I4800084"],"apc_list":null,"apc_paid":null,"fwci":0.28,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.62513722,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"35","issue":"2","first_page":"1077","last_page":"1095"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9991999864578247,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9968000054359436,"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/abelian-group","display_name":"Abelian group","score":0.8104875683784485},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7756609916687012},{"id":"https://openalex.org/keywords/reciprocity","display_name":"Reciprocity (cultural anthropology)","score":0.615054190158844},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5062116980552673},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5031985640525818},{"id":"https://openalex.org/keywords/catalan-number","display_name":"Catalan number","score":0.4482179880142212},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4456862211227417},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.44034963846206665},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4366070330142975},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32627880573272705},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.29205888509750366},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.08761674165725708}],"concepts":[{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.8104875683784485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7756609916687012},{"id":"https://openalex.org/C169903001","wikidata":"https://www.wikidata.org/wiki/Q3264987","display_name":"Reciprocity (cultural anthropology)","level":2,"score":0.615054190158844},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5062116980552673},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5031985640525818},{"id":"https://openalex.org/C43929256","wikidata":"https://www.wikidata.org/wiki/Q270513","display_name":"Catalan number","level":2,"score":0.4482179880142212},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4456862211227417},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.44034963846206665},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4366070330142975},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32627880573272705},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29205888509750366},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.08761674165725708},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","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},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"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:10.1137/20m1317529","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1317529","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/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3214160367","display_name":null,"funder_award_id":"No. 11","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3614052546","display_name":null,"funder_award_id":"1901563","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4503148698","display_name":null,"funder_award_id":"11971395","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5167091242","display_name":null,"funder_award_id":"No. 1","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6318000786","display_name":null,"funder_award_id":"11901563","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6867424150","display_name":null,"funder_award_id":"11601448","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7726157001","display_name":null,"funder_award_id":"Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"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/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320325582","display_name":"Karl-Franzens-Universit\u00e4t Graz","ror":"https://ror.org/01faaaf77"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W11574717","https://openalex.org/W1630698243","https://openalex.org/W1634042400","https://openalex.org/W1776330888","https://openalex.org/W1799589307","https://openalex.org/W1990623507","https://openalex.org/W2027326150","https://openalex.org/W2034643132","https://openalex.org/W2042824544","https://openalex.org/W2046947513","https://openalex.org/W2051202214","https://openalex.org/W2056160952","https://openalex.org/W2059036144","https://openalex.org/W2081348568","https://openalex.org/W2084430366","https://openalex.org/W2085094001","https://openalex.org/W2121001629","https://openalex.org/W2268812832","https://openalex.org/W2319140844","https://openalex.org/W2514823897","https://openalex.org/W2586008757","https://openalex.org/W2597253815","https://openalex.org/W2599860712","https://openalex.org/W2735868948","https://openalex.org/W2962710831","https://openalex.org/W2962843469","https://openalex.org/W2963064405","https://openalex.org/W2963921456","https://openalex.org/W2963938592","https://openalex.org/W2998684166"],"related_works":["https://openalex.org/W2895808267","https://openalex.org/W4253699484","https://openalex.org/W2612136637","https://openalex.org/W2033428949","https://openalex.org/W2937076924","https://openalex.org/W3167464145","https://openalex.org/W4210335754","https://openalex.org/W2017381362","https://openalex.org/W2078204420","https://openalex.org/W4306404500"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"6":[17],"February":[18],"2020Accepted:":[19],"15":[20],"March":[21],"2021Published":[22],"online:":[23],"20":[24],"May":[25],"2021Keywordszero-sum":[26],"sequence,":[27],"finite":[28],"abelian":[29],"group,":[30],"rational":[31,34],"Catalan":[32],"number,":[33],"Dyck":[35],"path,":[36],"invariant":[37],"theoryAMS":[38],"Subject":[39],"Headings05A19,":[40],"11B13,":[41],"15A72Publication":[42],"DataISSN":[43],"(print):":[44],"0895-4801ISSN":[45],"(online):":[46],"1095-7146Publisher:":[47],"Society":[48],"for":[49],"Industrial":[50],"and":[51],"Applied":[52],"MathematicsCODEN:":[53],"sjdmec":[54]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}
