{"id":"https://openalex.org/W2069012352","doi":"https://doi.org/10.1016/s0012-365x(97)00064-2","title":"Independent finite sums in graphs defined on the natural numbers","display_name":"Independent finite sums in graphs defined on the natural numbers","publication_year":1998,"publication_date":"1998-02-01","ids":{"openalex":"https://openalex.org/W2069012352","doi":"https://doi.org/10.1016/s0012-365x(97)00064-2","mag":"2069012352"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(97)00064-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(97)00064-2","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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 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/A5003433063","display_name":"Tomasz \u0141uczak","orcid":"https://orcid.org/0000-0002-3517-9034"},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]},{"id":"https://openalex.org/I59411706","display_name":"Adam Mickiewicz University in Pozna\u0144","ror":"https://ror.org/04g6bbq64","country_code":"PL","type":"education","lineage":["https://openalex.org/I59411706"]}],"countries":["PL","US"],"is_corresponding":true,"raw_author_name":"Tomasz Luczak","raw_affiliation_strings":["Department of Discrete Mathematics, Adam Mickiewicz University, 60-769 Pozna\u0144, Poland","Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA"],"affiliations":[{"raw_affiliation_string":"Department of Discrete Mathematics, Adam Mickiewicz University, 60-769 Pozna\u0144, Poland","institution_ids":["https://openalex.org/I59411706"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109078443","display_name":"Vojt\u011bch R\u00f6dl","orcid":null},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vojt\u011bch R\u00f6dl","raw_affiliation_strings":["Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA","Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA","institution_ids":["https://openalex.org/I150468666"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA,","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040639904","display_name":"Tomasz Schoen","orcid":"https://orcid.org/0000-0002-9427-3127"},"institutions":[{"id":"https://openalex.org/I59411706","display_name":"Adam Mickiewicz University in Pozna\u0144","ror":"https://ror.org/04g6bbq64","country_code":"PL","type":"education","lineage":["https://openalex.org/I59411706"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Tomasz Schoen","raw_affiliation_strings":["Department of Discrete Mathematics, Adam Mickiewicz University, 60-769 Pozna\u0144, Poland","Department of Discrete Mathematics Adam Mickiewicz University 60-769 Pozna\u0144, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Discrete Mathematics, Adam Mickiewicz University, 60-769 Pozna\u0144, Poland","institution_ids":["https://openalex.org/I59411706"]},{"raw_affiliation_string":"Department of Discrete Mathematics Adam Mickiewicz University 60-769 Pozna\u0144, Poland","institution_ids":["https://openalex.org/I59411706"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003433063"],"corresponding_institution_ids":["https://openalex.org/I150468666","https://openalex.org/I59411706"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.6805,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.6498494,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"181","issue":"1-3","first_page":"289","last_page":"294"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9962000250816345,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9937999844551086,"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":0.8785704374313354},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8275865912437439},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.6946729421615601},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5643718838691711},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.47573021054267883},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.45242393016815186},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.43705984950065613}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8785704374313354},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8275865912437439},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.6946729421615601},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5643718838691711},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.47573021054267883},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.45242393016815186},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.43705984950065613},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0012-365x(97)00064-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(97)00064-2","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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 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":4,"referenced_works":["https://openalex.org/W1993214414","https://openalex.org/W1999853872","https://openalex.org/W2003723973","https://openalex.org/W2047891343"],"related_works":["https://openalex.org/W1651031009","https://openalex.org/W4233354377","https://openalex.org/W3021792919","https://openalex.org/W2064409016","https://openalex.org/W4252518165","https://openalex.org/W2367640509","https://openalex.org/W149979176","https://openalex.org/W2019883514","https://openalex.org/W4213012733","https://openalex.org/W1506207436"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}