{"id":"https://openalex.org/W1585834993","doi":"https://doi.org/10.1007/s00373-004-0550-7","title":"On the Achromatic Index of for a Prime q","display_name":"On the Achromatic Index of for a Prime q","publication_year":2004,"publication_date":"2004-06-01","ids":{"openalex":"https://openalex.org/W1585834993","doi":"https://doi.org/10.1007/s00373-004-0550-7","mag":"1585834993"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-004-0550-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-004-0550-7","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","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/A5111462408","display_name":"Mirko Horn\ufffdk","orcid":null},"institutions":[{"id":"https://openalex.org/I204881574","display_name":"University of Pavol Jozef \u0160af\u00e1rik","ror":"https://ror.org/039965637","country_code":"SK","type":"education","lineage":["https://openalex.org/I204881574"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Mirko Horn\ufffdk","raw_affiliation_strings":["P. J. \u0160af\u00e1rik University, Jesenn\u00e1, Institute of Mathematics, Slovakia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"P. J. \u0160af\u00e1rik University, Jesenn\u00e1, Institute of Mathematics, Slovakia#TAB#","institution_ids":["https://openalex.org/I204881574"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5097030333","display_name":"tefan Pcola","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115213","display_name":"Novitech (Slovakia)","ror":"https://ror.org/024bc8636","country_code":"SK","type":"company","lineage":["https://openalex.org/I4210115213"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"?tefan Pcola","raw_affiliation_strings":["Novitech a. s., Moyzesova, Institute of Mathematics, Slovakia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Novitech a. s., Moyzesova, Institute of Mathematics, Slovakia#TAB#","institution_ids":["https://openalex.org/I4210115213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085801031","display_name":"Mariusz Wo\u017aniak","orcid":"https://orcid.org/0000-0003-4769-0056"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Mariusz Wozniak","raw_affiliation_strings":["Faculty of Applied Mathematics AGH, Department of Discrete Mathematics, al. Mickiewicza 30, 30-059, Krak\u00f3w, Poland","Department of Discrete Mathematics, Faculty of Applied Mathematics AGH, Poland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics AGH, Department of Discrete Mathematics, al. Mickiewicza 30, 30-059, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I686019"]},{"raw_affiliation_string":"Department of Discrete Mathematics, Faculty of Applied Mathematics AGH, Poland#TAB#","institution_ids":["https://openalex.org/I686019"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"USD","value_usd":2190},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.08189158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"2","first_page":"191","last_page":"203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9538999795913696,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9538999795913696,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9014000296592712,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/achromatic-lens","display_name":"Achromatic lens","score":0.9711030721664429},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7685225605964661},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7084294557571411},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6030352115631104},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5130499601364136},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.4480232000350952},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.358072429895401},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1411784589290619},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08551466464996338},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.07114747166633606}],"concepts":[{"id":"https://openalex.org/C121535716","wikidata":"https://www.wikidata.org/wiki/Q340600","display_name":"Achromatic lens","level":2,"score":0.9711030721664429},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7685225605964661},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7084294557571411},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6030352115631104},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5130499601364136},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.4480232000350952},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.358072429895401},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1411784589290619},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08551466464996338},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.07114747166633606},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-004-0550-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-004-0550-7","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2034404159"],"related_works":["https://openalex.org/W2788497138","https://openalex.org/W2020965264","https://openalex.org/W3084515308","https://openalex.org/W2049354090","https://openalex.org/W4287668294","https://openalex.org/W2162342972","https://openalex.org/W2393920765","https://openalex.org/W2152957801","https://openalex.org/W2148492102","https://openalex.org/W2348582275"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}