{"id":"https://openalex.org/W1986185633","doi":"https://doi.org/10.1016/0097-3165(71)90053-7","title":"Some remarks on ballot-type sequences of positive integers","display_name":"Some remarks on ballot-type sequences of positive integers","publication_year":1971,"publication_date":"1971-11-01","ids":{"openalex":"https://openalex.org/W1986185633","doi":"https://doi.org/10.1016/0097-3165(71)90053-7","mag":"1986185633"},"language":"en","primary_location":{"id":"doi:10.1016/0097-3165(71)90053-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(71)90053-7","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","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/A5072073027","display_name":"L. Carlitz","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"L Carlitz","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039467896","display_name":"David P. Roselle","orcid":null},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]},{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D.P Roselle","raw_affiliation_strings":["Department of Mathematics, Duke University, Durham, North Carolina 27706, USA","Louisiana State University, Baton Rouge, Louisiana 70803, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Duke University, Durham, North Carolina 27706, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Louisiana State University, Baton Rouge, Louisiana 70803, USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024478949","display_name":"Richard Scoville","orcid":null},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]},{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R.A Scoville","raw_affiliation_strings":["Department of Mathematics, Duke University, Durham, North Carolina 27706, USA","Louisiana State University, Baton Rouge, Louisiana 70803, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Duke University, Durham, North Carolina 27706, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Louisiana State University, Baton Rouge, Louisiana 70803, USA","institution_ids":["https://openalex.org/I121820613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072073027"],"corresponding_institution_ids":[],"apc_list":{"value":3320,"currency":"USD","value_usd":3320},"apc_paid":null,"fwci":3.3593,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.925,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"3","first_page":"258","last_page":"271"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9919000267982483,"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"}},"topics":[{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9919000267982483,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9840999841690063,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9781000018119812,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ballot","display_name":"Ballot","score":0.8589494824409485},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6375307440757751},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4832233190536499},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4061492085456848},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.327391654253006},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3205570578575134},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.20320889353752136},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.12854766845703125},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.09354877471923828},{"id":"https://openalex.org/keywords/voting","display_name":"Voting","score":0.0416925847530365}],"concepts":[{"id":"https://openalex.org/C2777094542","wikidata":"https://www.wikidata.org/wiki/Q905151","display_name":"Ballot","level":4,"score":0.8589494824409485},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6375307440757751},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4832233190536499},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4061492085456848},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.327391654253006},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3205570578575134},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.20320889353752136},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.12854766845703125},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.09354877471923828},{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.0416925847530365},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0097-3165(71)90053-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(71)90053-7","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W621515157","https://openalex.org/W1531843149","https://openalex.org/W2022892305","https://openalex.org/W2024411251","https://openalex.org/W2068455109","https://openalex.org/W2317191967","https://openalex.org/W2795565120","https://openalex.org/W4231417877","https://openalex.org/W6619522162"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W2017331178","https://openalex.org/W2976797620","https://openalex.org/W2008607650","https://openalex.org/W2349865494","https://openalex.org/W2372553222","https://openalex.org/W2352982982","https://openalex.org/W2090558690","https://openalex.org/W3157620392"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
