{"id":"https://openalex.org/W2108371359","doi":"https://doi.org/10.1137/090765729","title":"Removing Independently Even Crossings","display_name":"Removing Independently Even Crossings","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2108371359","doi":"https://doi.org/10.1137/090765729","mag":"2108371359"},"language":"en","primary_location":{"id":"doi:10.1137/090765729","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090765729","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5068581962","display_name":"Michael J. Pelsmajer","orcid":"https://orcid.org/0000-0001-9688-5787"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael J. Pelsmajer","raw_affiliation_strings":["pelsmajer@iit.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"pelsmajer@iit.edu#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043232183","display_name":"Marcus Schaefer","orcid":"https://orcid.org/0000-0001-7005-8599"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marcus Schaefer","raw_affiliation_strings":["mschaefer@cdm.depaul.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"mschaefer@cdm.depaul.edu#TAB#","institution_ids":[]}]},{"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":["stefanko@cs.rochester.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"stefanko@cs.rochester.edu#TAB#","institution_ids":["https://openalex.org/I5388228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0445,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.91491541,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"24","issue":"2","first_page":"379","last_page":"393"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9984999895095825,"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/mathematics","display_name":"Mathematics","score":0.7290742993354797},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6235763430595398},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41705700755119324}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7290742993354797},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6235763430595398},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41705700755119324}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/090765729","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090765729","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1539895965","https://openalex.org/W1560672772","https://openalex.org/W1577934253","https://openalex.org/W1708570965","https://openalex.org/W1934271741","https://openalex.org/W1967638544","https://openalex.org/W1973059108","https://openalex.org/W2003689202","https://openalex.org/W2019336795","https://openalex.org/W2024280488","https://openalex.org/W2025868128","https://openalex.org/W2028433962","https://openalex.org/W2083578892","https://openalex.org/W2092577467","https://openalex.org/W2112319409","https://openalex.org/W2116517722","https://openalex.org/W2120627276","https://openalex.org/W2197963488","https://openalex.org/W4213236916"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2],"$\\mathrm{cr}(G)\\leq({2\\,\\mathrm{iocr}(G)\\atop2})$,":[3],"settling":[4],"an":[5],"open":[6],"problem":[7],"of":[8],"Pach":[9],"and":[10],"T\u00f3th":[11],"[Geombinatorics,":[12],"9":[13],"(2000),":[14],"pp.":[15],"194\u2013207].":[16],"Moreover,":[17],"$\\mathrm{iocr}(G)=\\mathrm{cr}(G)$":[18],"if":[19],"$\\mathrm{iocr}(G)\\leq2$.":[20]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
