{"id":"https://openalex.org/W2010712298","doi":"https://doi.org/10.1145/2261250.2261254","title":"Computing cartograms with optimal complexity","display_name":"Computing cartograms with optimal complexity","publication_year":2012,"publication_date":"2012-06-17","ids":{"openalex":"https://openalex.org/W2010712298","doi":"https://doi.org/10.1145/2261250.2261254","mag":"2010712298"},"language":"en","primary_location":{"id":"doi:10.1145/2261250.2261254","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2261250.2261254","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-eighth annual symposium on Computational geometry","raw_type":"proceedings-article"},"type":"conference-paper","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/A5101592174","display_name":"Md. Jawaherul Alam","orcid":"https://orcid.org/0000-0002-7062-6792"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Md. Jawaherul Alam","raw_affiliation_strings":["University of Arizona, Tucson, AZ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Arizona, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038712987","display_name":"Th\u00e9r\u00e8se Biedl","orcid":"https://orcid.org/0000-0002-9003-3783"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Therese Biedl","raw_affiliation_strings":["University of Waterloo, Waterloo, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005468020","display_name":"Stefan Felsner","orcid":"https://orcid.org/0000-0002-6150-1998"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Felsner","raw_affiliation_strings":["Technische Universitat Berlin, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technische Universitat Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103045561","display_name":"Michael Kaufmann","orcid":"https://orcid.org/0000-0001-9186-3538"},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Kaufmann","raw_affiliation_strings":["Eberhard Karls Universitat Tubingen, Tubingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eberhard Karls Universitat Tubingen, Tubingen, Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003147292","display_name":"Stephen Kobourov","orcid":"https://orcid.org/0000-0002-0477-2724"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen G. Kobourov","raw_affiliation_strings":["University of Arizona, Tucson, AZ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Arizona, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063296115","display_name":"Torsten Ueckerdt","orcid":"https://orcid.org/0000-0002-0645-9715"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Torsten Ueckerdt","raw_affiliation_strings":["Technische Universitat Berlin, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technische Universitat Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"21","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"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":0.9997000098228455,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9979000091552734,"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"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/dual-graph","display_name":"Dual graph","score":0.6424294114112854},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6016719341278076},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.5665785670280457},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5647946000099182},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5315292477607727},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.482949435710907},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4739491939544678},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4600408673286438},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4290139675140381},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3973086476325989},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29821786284446716},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.23121407628059387}],"concepts":[{"id":"https://openalex.org/C169827030","wikidata":"https://www.wikidata.org/wiki/Q2294516","display_name":"Dual graph","level":4,"score":0.6424294114112854},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6016719341278076},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5665785670280457},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5647946000099182},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5315292477607727},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.482949435710907},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4739491939544678},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4600408673286438},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4290139675140381},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3973086476325989},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29821786284446716},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.23121407628059387},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2261250.2261254","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2261250.2261254","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-eighth annual symposium on Computational geometry","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1292837","https://openalex.org/W1499650211","https://openalex.org/W1774658022","https://openalex.org/W1858050217","https://openalex.org/W1868235818","https://openalex.org/W1876595912","https://openalex.org/W1965372753","https://openalex.org/W1968739134","https://openalex.org/W1973624728","https://openalex.org/W1974763131","https://openalex.org/W1981505946","https://openalex.org/W2003525146","https://openalex.org/W2005167789","https://openalex.org/W2007701319","https://openalex.org/W2015594715","https://openalex.org/W2018046116","https://openalex.org/W2021849652","https://openalex.org/W2025456120","https://openalex.org/W2038318850","https://openalex.org/W2052977033","https://openalex.org/W2068347860","https://openalex.org/W2071191815","https://openalex.org/W2076035893","https://openalex.org/W2082251733","https://openalex.org/W2095517208","https://openalex.org/W2102316858","https://openalex.org/W2111451158","https://openalex.org/W2115023660","https://openalex.org/W2123300935","https://openalex.org/W2128790786","https://openalex.org/W2138620696","https://openalex.org/W2148734466","https://openalex.org/W2148987114","https://openalex.org/W2152799810","https://openalex.org/W2166735327","https://openalex.org/W2176056854","https://openalex.org/W2322867406","https://openalex.org/W2516527296","https://openalex.org/W2899517269","https://openalex.org/W2917685071","https://openalex.org/W3104537554","https://openalex.org/W4205230056","https://openalex.org/W6645454059"],"related_works":["https://openalex.org/W2246199414","https://openalex.org/W3216105633","https://openalex.org/W4300508906","https://openalex.org/W2019085620","https://openalex.org/W2990956612","https://openalex.org/W2584131233","https://openalex.org/W2998789653","https://openalex.org/W2003472496","https://openalex.org/W2949720595","https://openalex.org/W2006448585"],"abstract_inverted_index":{"In":[0],"a":[1,5,30,41],"rectilinear":[2,13,26],"dual":[3,27],"of":[4,35],"planar":[6],"graph":[7],"vertices":[8],"are":[9,17],"represented":[10,18],"by":[11,19],"simple":[12],"polygons,":[14],"while":[15],"edges":[16],"side-contact":[20],"between":[21],"the":[22,33],"corresponding":[23],"polygons.":[24],"A":[25],"is":[28,38],"called":[29],"cartogram":[31],"if":[32],"area":[34],"each":[36],"region":[37],"equal":[39],"to":[40],"pre-specified":[42],"weight.":[43]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
