{"id":"https://openalex.org/W2017068229","doi":"https://doi.org/10.1016/0166-218x(87)90043-6","title":"Divisor generating functions and insertion into a heap","display_name":"Divisor generating functions and insertion into a heap","publication_year":1987,"publication_date":"1987-09-01","ids":{"openalex":"https://openalex.org/W2017068229","doi":"https://doi.org/10.1016/0166-218x(87)90043-6","mag":"2017068229"},"language":"en","primary_location":{"id":"doi:10.1016/0166-218x(87)90043-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(87)90043-6","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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":"Discrete Applied 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/A5110027866","display_name":"Keisuke Uchimura","orcid":null},"institutions":[{"id":"https://openalex.org/I1314466530","display_name":"Tokai University","ror":"https://ror.org/01p7qe739","country_code":"JP","type":"education","lineage":["https://openalex.org/I1314466530"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Keisuke Uchimura","raw_affiliation_strings":["Department of Mathematics, Tokai University, Hiratsuka, 259-12, Japan","Department of Mathematics Tokai University Hiratsuka 259-12, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tokai University, Hiratsuka, 259-12, Japan","institution_ids":["https://openalex.org/I1314466530"]},{"raw_affiliation_string":"Department of Mathematics Tokai University Hiratsuka 259-12, Japan","institution_ids":["https://openalex.org/I1314466530"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110027866"],"corresponding_institution_ids":["https://openalex.org/I1314466530"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.15693642,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"18","issue":"1","first_page":"73","last_page":"81"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9932000041007996,"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"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9932000041007996,"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"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9926000237464905,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9713000059127808,"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/heap","display_name":"Heap (data structure)","score":0.850334882736206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8478536605834961},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6755067110061646},{"id":"https://openalex.org/keywords/divisor","display_name":"Divisor (algebraic geometry)","score":0.5676562190055847},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4147375226020813},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14881810545921326}],"concepts":[{"id":"https://openalex.org/C134757568","wikidata":"https://www.wikidata.org/wiki/Q274089","display_name":"Heap (data structure)","level":2,"score":0.850334882736206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8478536605834961},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6755067110061646},{"id":"https://openalex.org/C203492994","wikidata":"https://www.wikidata.org/wiki/Q909669","display_name":"Divisor (algebraic geometry)","level":2,"score":0.5676562190055847},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4147375226020813},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14881810545921326}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0166-218x(87)90043-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(87)90043-6","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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":"Discrete Applied Mathematics","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":17,"referenced_works":["https://openalex.org/W1600795850","https://openalex.org/W1963503748","https://openalex.org/W1972601280","https://openalex.org/W1978276814","https://openalex.org/W1981257688","https://openalex.org/W2046713587","https://openalex.org/W2051768731","https://openalex.org/W2076597612","https://openalex.org/W2125838758","https://openalex.org/W2317997851","https://openalex.org/W2485448916","https://openalex.org/W2914203798","https://openalex.org/W3175367423","https://openalex.org/W4230533591","https://openalex.org/W4238798236","https://openalex.org/W6645101459","https://openalex.org/W6759158279"],"related_works":["https://openalex.org/W3158777280","https://openalex.org/W2093687902","https://openalex.org/W2949158926","https://openalex.org/W4301885003","https://openalex.org/W1979597421","https://openalex.org/W1996981508","https://openalex.org/W1989205740","https://openalex.org/W4387561287","https://openalex.org/W2005058894","https://openalex.org/W4292852259"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}