{"id":"https://openalex.org/W1479918018","doi":"https://doi.org/10.1007/978-3-540-31843-9_36","title":"New Exact Results and Bounds for Bipartite Crossing Numbers of Meshes","display_name":"New Exact Results and Bounds for Bipartite Crossing Numbers of Meshes","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1479918018","doi":"https://doi.org/10.1007/978-3-540-31843-9_36","mag":"1479918018"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-31843-9_36","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-31843-9_36","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-31843-9_36.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-31843-9_36.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006072369","display_name":"Mary Newton","orcid":"https://orcid.org/0000-0002-4062-2117"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Matthew C. Newton","raw_affiliation_strings":["Department of Computer Science, Loughborough University, Loughborough, Leicestershire, LE11 3TU, United Kingdom","Department of Computer Science, Loughborough University, Loughborough, Leicestershire, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Loughborough University, Loughborough, Leicestershire, LE11 3TU, United Kingdom","institution_ids":["https://openalex.org/I143804889"]},{"raw_affiliation_string":"Department of Computer Science, Loughborough University, Loughborough, Leicestershire, United Kingdom","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073592264","display_name":"Ond\u0159ej S\u00fdkora","orcid":null},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ondrej S\u00fdkora","raw_affiliation_strings":["Department of Computer Science, Loughborough University, Loughborough, Leicestershire, LE11 3TU, United Kingdom","Department of Computer Science, Loughborough University, Loughborough, Leicestershire, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Loughborough University, Loughborough, Leicestershire, LE11 3TU, United Kingdom","institution_ids":["https://openalex.org/I143804889"]},{"raw_affiliation_string":"Department of Computer Science, Loughborough University, Loughborough, Leicestershire, United Kingdom","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021205937","display_name":"Martin U\u017eovi\u010d","orcid":null},"institutions":[{"id":"https://openalex.org/I74788687","display_name":"Comenius University Bratislava","ror":"https://ror.org/0587ef340","country_code":"SK","type":"education","lineage":["https://openalex.org/I74788687"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Martin U\u017eovi\u010d","raw_affiliation_strings":["Department of Computer Science, Comenius University, Mlynsk\u00e1 dolina, 842 48, Bratislava, Slovak Republic","Department of Computer Science, Comenius University, Mlynsk\u00e1 dolina, Bratislava, Slovak Republic#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Comenius University, Mlynsk\u00e1 dolina, 842 48, Bratislava, Slovak Republic","institution_ids":["https://openalex.org/I74788687"]},{"raw_affiliation_string":"Department of Computer Science, Comenius University, Mlynsk\u00e1 dolina, Bratislava, Slovak Republic#TAB#","institution_ids":["https://openalex.org/I74788687"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063290861","display_name":"Imrich Vrt\u2019o","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]},{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"funder","lineage":["https://openalex.org/I207624831"]}],"countries":["CZ","SK"],"is_corresponding":false,"raw_author_name":"Imrich Vrt\u2019o","raw_affiliation_strings":["Department of Informatics, Institute of Mathematics, Slovak Academy of Sciences, D\u00fabravsk\u00e1 9, 841 04, Bratislava, Slovak Republic","Department of Informatics Institute of Mathematics, Slovak Academy of Sciences, Bratislava, Slovak Republic"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, Institute of Mathematics, Slovak Academy of Sciences, D\u00fabravsk\u00e1 9, 841 04, Bratislava, Slovak Republic","institution_ids":["https://openalex.org/I4210120266","https://openalex.org/I207624831"]},{"raw_affiliation_string":"Department of Informatics Institute of Mathematics, Slovak Academy of Sciences, Bratislava, Slovak Republic","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120266"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5006072369"],"corresponding_institution_ids":["https://openalex.org/I143804889"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.794,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66805846,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"360","last_page":"370"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9933000206947327,"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":0.9865999817848206,"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/bipartite-graph","display_name":"Bipartite graph","score":0.9383190870285034},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6988993287086487},{"id":"https://openalex.org/keywords/crossing-number","display_name":"Crossing number (knot theory)","score":0.6433378458023071},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5919526815414429},{"id":"https://openalex.org/keywords/complete-bipartite-graph","display_name":"Complete bipartite graph","score":0.5316720008850098},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4533885419368744},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4487447440624237},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4415859878063202},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4270879626274109},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4137575030326843},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3840572237968445},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11489075422286987}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.9383190870285034},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6988993287086487},{"id":"https://openalex.org/C2777724877","wikidata":"https://www.wikidata.org/wiki/Q2548661","display_name":"Crossing number (knot theory)","level":3,"score":0.6433378458023071},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5919526815414429},{"id":"https://openalex.org/C134119311","wikidata":"https://www.wikidata.org/wiki/Q913598","display_name":"Complete bipartite graph","level":4,"score":0.5316720008850098},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4533885419368744},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4487447440624237},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4415859878063202},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4270879626274109},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4137575030326843},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3840572237968445},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11489075422286987},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-31843-9_36","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-31843-9_36","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-31843-9_36.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:gdea.informatik.uni-koeln.de:603","is_oa":false,"landing_page_url":"http://gdea.informatik.uni-koeln.de/603/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196197","display_name":"gdea - Graph Drawing E-print Archive (GDEA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":{"id":"doi:10.1007/978-3-540-31843-9_36","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-31843-9_36","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-31843-9_36.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3472121460","display_name":null,"funder_award_id":"2/3164/23","funder_id":"https://openalex.org/F4320323641","funder_display_name":"Vedeck\u00e1 Grantov\u00e1 Agent\u00fara M\u0160VVa\u0160 SR a SAV"},{"id":"https://openalex.org/G3557625856","display_name":null,"funder_award_id":"GR/R37395/01","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320323641","display_name":"Vedeck\u00e1 Grantov\u00e1 Agent\u00fara M\u0160VVa\u0160 SR a SAV","ror":"https://ror.org/044gwpv05"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1479918018.pdf","grobid_xml":"https://content.openalex.org/works/W1479918018.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W86126052","https://openalex.org/W1490218556","https://openalex.org/W1516516022","https://openalex.org/W1568614804","https://openalex.org/W1572018558","https://openalex.org/W1574082713","https://openalex.org/W1972151695","https://openalex.org/W1988098280","https://openalex.org/W2011218826","https://openalex.org/W2019834521","https://openalex.org/W2020712298","https://openalex.org/W2035922087","https://openalex.org/W2060538865","https://openalex.org/W2066367369","https://openalex.org/W2071353749","https://openalex.org/W2094450647","https://openalex.org/W2097116563","https://openalex.org/W2099281231","https://openalex.org/W2102664288","https://openalex.org/W2119515957","https://openalex.org/W2318992515","https://openalex.org/W2481227236","https://openalex.org/W2912202394","https://openalex.org/W4240657212","https://openalex.org/W4248874913"],"related_works":["https://openalex.org/W2091826982","https://openalex.org/W245205139","https://openalex.org/W2036057584","https://openalex.org/W4246000090","https://openalex.org/W2107875203","https://openalex.org/W4234658180","https://openalex.org/W4235849992","https://openalex.org/W2910933086","https://openalex.org/W3143578817","https://openalex.org/W4288630335"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}