{"id":"https://openalex.org/W4210497133","doi":"https://doi.org/10.1007/s00373-021-02423-5","title":"The Crossing Numbers of Join of Special Disconnected Graph on Five Vertices with Discrete Graphs","display_name":"The Crossing Numbers of Join of Special Disconnected Graph on Five Vertices with Discrete Graphs","publication_year":2022,"publication_date":"2022-02-01","ids":{"openalex":"https://openalex.org/W4210497133","doi":"https://doi.org/10.1007/s00373-021-02423-5"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-021-02423-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-021-02423-5","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/A5053691295","display_name":"Mari\u00e1n Kle\u0161\u010d","orcid":null},"institutions":[{"id":"https://openalex.org/I183764125","display_name":"Technical University of Ko\u0161ice","ror":"https://ror.org/05xm08015","country_code":"SK","type":"education","lineage":["https://openalex.org/I183764125"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Mari\u00e1n Kle\u0161\u010d","raw_affiliation_strings":["Faculty of Electrical Engineering and Informatics, Technical University of Ko\u0161ice, Ko\u0161ice, Slovakia","Faculty\u00a0of\u00a0Electrical Engineering and Informatics, Technical University of Ko\u0161ice, Ko\u0161ice, Slovakia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering and Informatics, Technical University of Ko\u0161ice, Ko\u0161ice, Slovakia","institution_ids":["https://openalex.org/I183764125"]},{"raw_affiliation_string":"Faculty\u00a0of\u00a0Electrical Engineering and Informatics, Technical University of Ko\u0161ice, Ko\u0161ice, Slovakia","institution_ids":["https://openalex.org/I183764125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001941301","display_name":"Michal Sta\u0161","orcid":"https://orcid.org/0000-0002-2837-8879"},"institutions":[{"id":"https://openalex.org/I183764125","display_name":"Technical University of Ko\u0161ice","ror":"https://ror.org/05xm08015","country_code":"SK","type":"education","lineage":["https://openalex.org/I183764125"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"Michal Sta\u0161","raw_affiliation_strings":["Faculty of Electrical Engineering and Informatics, Technical University of Ko\u0161ice, Ko\u0161ice, Slovakia","Faculty\u00a0of\u00a0Electrical Engineering and Informatics, Technical University of Ko\u0161ice, Ko\u0161ice, Slovakia"],"raw_orcid":"https://orcid.org/0000-0002-2837-8879","affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering and Informatics, Technical University of Ko\u0161ice, Ko\u0161ice, Slovakia","institution_ids":["https://openalex.org/I183764125"]},{"raw_affiliation_string":"Faculty\u00a0of\u00a0Electrical Engineering and Informatics, Technical University of Ko\u0161ice, Ko\u0161ice, Slovakia","institution_ids":["https://openalex.org/I183764125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032965186","display_name":"Jana Petrillov\u00e1","orcid":null},"institutions":[{"id":"https://openalex.org/I183764125","display_name":"Technical University of Ko\u0161ice","ror":"https://ror.org/05xm08015","country_code":"SK","type":"education","lineage":["https://openalex.org/I183764125"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Jana Petrillov\u00e1","raw_affiliation_strings":["Faculty of Electrical Engineering and Informatics, Technical University of Ko\u0161ice, Ko\u0161ice, Slovakia","Faculty\u00a0of\u00a0Electrical Engineering and Informatics, Technical University of Ko\u0161ice, Ko\u0161ice, Slovakia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering and Informatics, Technical University of Ko\u0161ice, Ko\u0161ice, Slovakia","institution_ids":["https://openalex.org/I183764125"]},{"raw_affiliation_string":"Faculty\u00a0of\u00a0Electrical Engineering and Informatics, Technical University of Ko\u0161ice, Ko\u0161ice, Slovakia","institution_ids":["https://openalex.org/I183764125"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001941301"],"corresponding_institution_ids":["https://openalex.org/I183764125"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.5538,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.92587262,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"38","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9970999956130981,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/combinatorics","display_name":"Combinatorics","score":0.8412867784500122},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7534596920013428},{"id":"https://openalex.org/keywords/join","display_name":"Join (topology)","score":0.6441826820373535},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6078891158103943},{"id":"https://openalex.org/keywords/crossing-number","display_name":"Crossing number (knot theory)","score":0.5723268985748291},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47517696022987366},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4632146954536438}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8412867784500122},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7534596920013428},{"id":"https://openalex.org/C2776124973","wikidata":"https://www.wikidata.org/wiki/Q3183033","display_name":"Join (topology)","level":2,"score":0.6441826820373535},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6078891158103943},{"id":"https://openalex.org/C2777724877","wikidata":"https://www.wikidata.org/wiki/Q2548661","display_name":"Crossing number (knot theory)","level":3,"score":0.5723268985748291},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47517696022987366},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4632146954536438},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-021-02423-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-021-02423-5","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":15,"referenced_works":["https://openalex.org/W1607613323","https://openalex.org/W1612188539","https://openalex.org/W1988585176","https://openalex.org/W2032958186","https://openalex.org/W2060538865","https://openalex.org/W2064423795","https://openalex.org/W2071169530","https://openalex.org/W2074390287","https://openalex.org/W2086778098","https://openalex.org/W2101447138","https://openalex.org/W2132818870","https://openalex.org/W2583539467","https://openalex.org/W2963910203","https://openalex.org/W3155248941","https://openalex.org/W4248819667"],"related_works":["https://openalex.org/W4205996836","https://openalex.org/W3214148052","https://openalex.org/W2151692181","https://openalex.org/W794462722","https://openalex.org/W2029625042","https://openalex.org/W4248476017","https://openalex.org/W2807741550","https://openalex.org/W2963172655","https://openalex.org/W4299906858","https://openalex.org/W2563528590"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}