{"id":"https://openalex.org/W2070190818","doi":"https://doi.org/10.1007/s00493-009-2257-0","title":"Colourings of the cartesian product of graphs and multiplicative Sidon sets","display_name":"Colourings of the cartesian product of graphs and multiplicative Sidon sets","publication_year":2009,"publication_date":"2009-07-01","ids":{"openalex":"https://openalex.org/W2070190818","doi":"https://doi.org/10.1007/s00493-009-2257-0","mag":"2070190818"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-009-2257-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-009-2257-0","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","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/A5088282000","display_name":"Attila P\u00f3r","orcid":"https://orcid.org/0000-0002-4242-865X"},"institutions":[{"id":"https://openalex.org/I94339441","display_name":"Western Kentucky University","ror":"https://ror.org/0446vnd56","country_code":"US","type":"education","lineage":["https://openalex.org/I94339441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Attila P\u00f3r","raw_affiliation_strings":["Department of Mathematics, Western Kentucky University, 1906 College Heights Boulevard, Bowling Green, KY, 42101-1078, USA","Western Kentucky University, Department of Mathematics, 1906 College Heights Boulevard, 42101-1078, Bowling Green, KY, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Western Kentucky University, 1906 College Heights Boulevard, Bowling Green, KY, 42101-1078, USA","institution_ids":["https://openalex.org/I94339441"]},{"raw_affiliation_string":"Western Kentucky University, Department of Mathematics, 1906 College Heights Boulevard, 42101-1078, Bowling Green, KY, USA#TAB#","institution_ids":["https://openalex.org/I94339441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066302647","display_name":"David R. Wood","orcid":"https://orcid.org/0000-0001-8866-3041"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"David R. Wood","raw_affiliation_strings":["QEII Research Fellow Department of Mathematics and Statistics, The University of Melbourne, Parkville, VIC, 3010, Australia","The University of Melbourne, QEII Research Fellow Department of Mathematics and Statistics, 3010, Parkville, VIC, Australia"],"affiliations":[{"raw_affiliation_string":"QEII Research Fellow Department of Mathematics and Statistics, The University of Melbourne, Parkville, VIC, 3010, Australia","institution_ids":["https://openalex.org/I165779595"]},{"raw_affiliation_string":"The University of Melbourne, QEII Research Fellow Department of Mathematics and Statistics, 3010, Parkville, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088282000"],"corresponding_institution_ids":["https://openalex.org/I94339441"],"apc_list":null,"apc_paid":null,"fwci":2.4346,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.8722067,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"29","issue":"4","first_page":"449","last_page":"466"},"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":0.9986000061035156,"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":0.9986000061035156,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9976000189781189,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9853000044822693,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8828091621398926},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.8678560256958008},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8163288831710815},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.7280375957489014},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6916232705116272},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5515970587730408},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5192189812660217},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.5031694769859314},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.48270225524902344},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46086370944976807},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.42505699396133423},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3997349739074707}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8828091621398926},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.8678560256958008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8163288831710815},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7280375957489014},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6916232705116272},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5515970587730408},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5192189812660217},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.5031694769859314},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.48270225524902344},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46086370944976807},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.42505699396133423},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3997349739074707},{"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00493-009-2257-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-009-2257-0","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","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":33,"referenced_works":["https://openalex.org/W167393220","https://openalex.org/W1528114635","https://openalex.org/W1564411015","https://openalex.org/W1569049372","https://openalex.org/W1596146664","https://openalex.org/W1741449785","https://openalex.org/W1965994418","https://openalex.org/W1968319543","https://openalex.org/W1972168259","https://openalex.org/W1976536763","https://openalex.org/W1982898207","https://openalex.org/W1989388823","https://openalex.org/W1999075790","https://openalex.org/W2019307433","https://openalex.org/W2021640907","https://openalex.org/W2024908972","https://openalex.org/W2029746920","https://openalex.org/W2030243808","https://openalex.org/W2044716204","https://openalex.org/W2052210031","https://openalex.org/W2076597612","https://openalex.org/W2087699257","https://openalex.org/W2104103621","https://openalex.org/W2113659224","https://openalex.org/W2114547177","https://openalex.org/W2127868304","https://openalex.org/W2145333029","https://openalex.org/W2156149469","https://openalex.org/W2316759756","https://openalex.org/W3175367423","https://openalex.org/W4213087285","https://openalex.org/W4245550773","https://openalex.org/W4300190926"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2002177687","https://openalex.org/W2949097972","https://openalex.org/W2943475405","https://openalex.org/W2353823005","https://openalex.org/W4301329442","https://openalex.org/W2953390393","https://openalex.org/W2154008353"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}