{"id":"https://openalex.org/W1708570965","doi":"https://doi.org/10.1007/978-3-540-77537-9_6","title":"Crossing Numbers and Parameterized Complexity","display_name":"Crossing Numbers and Parameterized Complexity","publication_year":2008,"publication_date":"2008-01-30","ids":{"openalex":"https://openalex.org/W1708570965","doi":"https://doi.org/10.1007/978-3-540-77537-9_6","mag":"1708570965"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-77537-9_6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-77537-9_6","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-77537-9_6.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/10.1007/978-3-540-77537-9_6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068581962","display_name":"Michael J. Pelsmajer","orcid":"https://orcid.org/0000-0001-9688-5787"},"institutions":[{"id":"https://openalex.org/I180949307","display_name":"Illinois Institute of Technology","ror":"https://ror.org/037t3ry66","country_code":"US","type":"education","lineage":["https://openalex.org/I180949307"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael J. Pelsmajer","raw_affiliation_strings":["Illinois Institute of Technology, Chicago, IL 60616, USA",", Illinois Institute of Technology, Chicago, IL"],"affiliations":[{"raw_affiliation_string":"Illinois Institute of Technology, Chicago, IL 60616, USA","institution_ids":["https://openalex.org/I180949307"]},{"raw_affiliation_string":", Illinois Institute of Technology, Chicago, IL","institution_ids":["https://openalex.org/I180949307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043232183","display_name":"Marcus Schaefer","orcid":"https://orcid.org/0000-0001-7005-8599"},"institutions":[{"id":"https://openalex.org/I118353179","display_name":"DePaul University","ror":"https://ror.org/04xtx5t16","country_code":"US","type":"education","lineage":["https://openalex.org/I118353179"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marcus Schaefer","raw_affiliation_strings":["DePaul University, Chicago, IL 60604, USA","DePaul University, Chicago IL#TAB#"],"affiliations":[{"raw_affiliation_string":"DePaul University, Chicago, IL 60604, USA","institution_ids":["https://openalex.org/I118353179"]},{"raw_affiliation_string":"DePaul University, Chicago IL#TAB#","institution_ids":["https://openalex.org/I118353179"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088287514","display_name":"Daniel \u0160tefankovi\u010d","orcid":"https://orcid.org/0000-0002-4849-7955"},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel \u0160tefankovi\u010d","raw_affiliation_strings":["University of Rochester, Rochester, NY 14627, USA","University of Rochester; Rochester, NY"],"affiliations":[{"raw_affiliation_string":"University of Rochester, Rochester, NY 14627, USA","institution_ids":["https://openalex.org/I5388228"]},{"raw_affiliation_string":"University of Rochester; Rochester, NY","institution_ids":["https://openalex.org/I5388228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5068581962"],"corresponding_institution_ids":["https://openalex.org/I180949307"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.7758,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.82517483,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"31","last_page":"36"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9939000010490417,"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":0.989799976348877,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/crossing-number","display_name":"Crossing number (knot theory)","score":0.8725470304489136},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.8284571170806885},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6146472692489624},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6107369065284729},{"id":"https://openalex.org/keywords/level-crossing","display_name":"Level crossing","score":0.48494699597358704},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.394858181476593}],"concepts":[{"id":"https://openalex.org/C2777724877","wikidata":"https://www.wikidata.org/wiki/Q2548661","display_name":"Crossing number (knot theory)","level":3,"score":0.8725470304489136},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8284571170806885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6146472692489624},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6107369065284729},{"id":"https://openalex.org/C1975866","wikidata":"https://www.wikidata.org/wiki/Q171448","display_name":"Level crossing","level":2,"score":0.48494699597358704},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.394858181476593},{"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/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","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":4,"locations":[{"id":"doi:10.1007/978-3-540-77537-9_6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-77537-9_6","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-77537-9_6.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:10.1.1.158.1718","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.158.1718","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ovid.cs.depaul.edu/documents/critical.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.295.5128","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.295.5128","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.rochester.edu/u/stefanko/Publications/GD - crossing parameterized.pdf","raw_type":"text"},{"id":"pmh:oai:gdea.informatik.uni-koeln.de:826","is_oa":false,"landing_page_url":"http://gdea.informatik.uni-koeln.de/826/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400857","display_name":"Graph Drawing E-print Archive (Die Universit\u00e4t zu K\u00f6ln)","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:10.1007/978-3-540-77537-9_6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-77537-9_6","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-77537-9_6.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":[{"id":"https://metadata.un.org/sdg/10","score":0.4399999976158142,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1708570965.pdf","grobid_xml":"https://content.openalex.org/works/W1708570965.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1493472025","https://openalex.org/W1577934253","https://openalex.org/W1586000865","https://openalex.org/W1968281628","https://openalex.org/W1973059108","https://openalex.org/W1985534820","https://openalex.org/W2003689202","https://openalex.org/W2024280488","https://openalex.org/W2047577363","https://openalex.org/W2083578892","https://openalex.org/W2197963488","https://openalex.org/W2275768625","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2963402006","https://openalex.org/W2275307537","https://openalex.org/W4235502529","https://openalex.org/W2998616538","https://openalex.org/W2964749573","https://openalex.org/W4288277589","https://openalex.org/W2401679980","https://openalex.org/W4212974456","https://openalex.org/W2094356522"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}