{"id":"https://openalex.org/W1540814977","doi":"https://doi.org/10.1007/3-540-63938-1_48","title":"Bipartite crossing numbers of meshes and hypercubes","display_name":"Bipartite crossing numbers of meshes and hypercubes","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1540814977","doi":"https://doi.org/10.1007/3-540-63938-1_48","mag":"1540814977"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-63938-1_48","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-63938-1_48","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-63938-1_48.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%2F3-540-63938-1_48.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113484676","display_name":"Farhad Shahrokhi","orcid":null},"institutions":[{"id":"https://openalex.org/I123534392","display_name":"University of North Texas","ror":"https://ror.org/00v97ad02","country_code":"US","type":"education","lineage":["https://openalex.org/I123534392"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Farhad Shahrokhi","raw_affiliation_strings":["Department of Computer Science, University of North Texas, Denton, USA","Univ of North texas"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of North Texas, Denton, USA","institution_ids":["https://openalex.org/I123534392"]},{"raw_affiliation_string":"Univ of North texas","institution_ids":["https://openalex.org/I123534392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073592264","display_name":"Ond\u0159ej S\u00fdkora","orcid":null},"institutions":[{"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":["SK"],"is_corresponding":false,"raw_author_name":"Ondrej Sykora","raw_affiliation_strings":["Institute for Informatics, Slovak Academy of Sciences, Bratislava, Slovak Republic","Slovak Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Institute for Informatics, Slovak Academy of Sciences, Bratislava, Slovak Republic","institution_ids":["https://openalex.org/I207624831"]},{"raw_affiliation_string":"Slovak Academy of Sciences","institution_ids":["https://openalex.org/I207624831"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103035080","display_name":"\u0141\u00e1szl\u00f3 A. Sz\u00e9kely","orcid":"https://orcid.org/0000-0002-9470-9111"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L\u00e1szl\u00f3 A. Sz\u00e9kely","raw_affiliation_strings":["Department of Mathematics, University of South Carolina, Columbia, USA","University of South Carolina"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, USA","institution_ids":["https://openalex.org/I155781252"]},{"raw_affiliation_string":"University of South Carolina","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063290861","display_name":"Imrich Vrt\u2019o","orcid":null},"institutions":[{"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":["SK"],"is_corresponding":false,"raw_author_name":"Imrich Vrt'o","raw_affiliation_strings":["Institute for Informatics, Slovak Academy of Sciences, Bratislava, Slovak Republic","Slovak Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Institute for Informatics, Slovak Academy of Sciences, Bratislava, Slovak Republic","institution_ids":["https://openalex.org/I207624831"]},{"raw_affiliation_string":"Slovak Academy of Sciences","institution_ids":["https://openalex.org/I207624831"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5113484676"],"corresponding_institution_ids":["https://openalex.org/I123534392"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3702,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50333333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"37","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9986000061035156,"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":0.9986000061035156,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/bipartite-graph","display_name":"Bipartite graph","score":0.904096245765686},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.8254324197769165},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8063068985939026},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6244543194770813},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5228757858276367},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4169202148914337},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3825605809688568}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.904096245765686},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.8254324197769165},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8063068985939026},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6244543194770813},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5228757858276367},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4169202148914337},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3825605809688568}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/3-540-63938-1_48","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-63938-1_48","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-63938-1_48.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:CiteSeerX.psu:10.1.1.53.2333","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.53.2333","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ifi.savba.sk/pub/imrich/gd97.ps.gz","raw_type":"text"},{"id":"pmh:oai:gdea.informatik.uni-koeln.de:174","is_oa":false,"landing_page_url":"http://gdea.informatik.uni-koeln.de/174/","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:10.1007/3-540-63938-1_48","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-63938-1_48","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-63938-1_48.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":[],"funders":[{"id":"https://openalex.org/F4320323807","display_name":"Institut National Du Cancer","ror":"https://ror.org/03m8vkq32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1540814977.pdf","grobid_xml":"https://content.openalex.org/works/W1540814977.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1415354223","https://openalex.org/W1578099820","https://openalex.org/W1586092564","https://openalex.org/W1972151695","https://openalex.org/W1988098280","https://openalex.org/W1992709202","https://openalex.org/W2004265962","https://openalex.org/W2010025177","https://openalex.org/W2019834521","https://openalex.org/W2060538865","https://openalex.org/W2063054346","https://openalex.org/W2071353749","https://openalex.org/W2093126960","https://openalex.org/W2094450647","https://openalex.org/W2109502288","https://openalex.org/W2119515957","https://openalex.org/W2166264168","https://openalex.org/W2799004609"],"related_works":["https://openalex.org/W4286907761","https://openalex.org/W2916710807","https://openalex.org/W2413588304","https://openalex.org/W3205447645","https://openalex.org/W2009411567","https://openalex.org/W2371629703","https://openalex.org/W3087772622","https://openalex.org/W2013252038","https://openalex.org/W2386598361","https://openalex.org/W2078375028"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
