{"id":"https://openalex.org/W2093327209","doi":"https://doi.org/10.1007/s10878-011-9381-7","title":"Small grid drawings of planar graphs with balanced partition","display_name":"Small grid drawings of planar graphs with balanced partition","publication_year":2011,"publication_date":"2011-01-21","ids":{"openalex":"https://openalex.org/W2093327209","doi":"https://doi.org/10.1007/s10878-011-9381-7","mag":"2093327209"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-011-9381-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-011-9381-7","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","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/A5026434724","display_name":"Xiao Zhou","orcid":"https://orcid.org/0000-0002-3105-8390"},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Xiao Zhou","raw_affiliation_strings":["Graduate School of Information Sciences, Tohoku University, Sendai, 980-8579, Japan","Graduate School of Information Sciences, Tohoku University, Sendai, Japan 980-8579#TAB#"],"affiliations":[{"raw_affiliation_string":"Graduate School of Information Sciences, Tohoku University, Sendai, 980-8579, Japan","institution_ids":["https://openalex.org/I201537933"]},{"raw_affiliation_string":"Graduate School of Information Sciences, Tohoku University, Sendai, Japan 980-8579#TAB#","institution_ids":["https://openalex.org/I201537933"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024634109","display_name":"Takashi Hikino","orcid":null},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takashi Hikino","raw_affiliation_strings":["Graduate School of Information Sciences, Tohoku University, Sendai, 980-8579, Japan","Graduate School of Information Sciences, Tohoku University, Sendai, Japan 980-8579#TAB#"],"affiliations":[{"raw_affiliation_string":"Graduate School of Information Sciences, Tohoku University, Sendai, 980-8579, Japan","institution_ids":["https://openalex.org/I201537933"]},{"raw_affiliation_string":"Graduate School of Information Sciences, Tohoku University, Sendai, Japan 980-8579#TAB#","institution_ids":["https://openalex.org/I201537933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033580185","display_name":"Takao Nishizeki","orcid":null},"institutions":[{"id":"https://openalex.org/I206011266","display_name":"Kwansei Gakuin University","ror":"https://ror.org/02qf2tx24","country_code":"JP","type":"education","lineage":["https://openalex.org/I206011266"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takao Nishizeki","raw_affiliation_strings":["Faculty of Science and Technology, Kwansei Gakuin University, Sanda, 669-1337, Japan","Faculty of Science and Technology, Kwansei Gakuin University, Sanda, Japan 669-1337#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Science and Technology, Kwansei Gakuin University, Sanda, 669-1337, Japan","institution_ids":["https://openalex.org/I206011266"]},{"raw_affiliation_string":"Faculty of Science and Technology, Kwansei Gakuin University, Sanda, Japan 669-1337#TAB#","institution_ids":["https://openalex.org/I206011266"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026434724"],"corresponding_institution_ids":["https://openalex.org/I201537933"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4878,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.85654245,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"24","issue":"2","first_page":"99","last_page":"115"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9987000226974487,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9909999966621399,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.805007815361023},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.6602498292922974},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6436097621917725},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.6111202239990234},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5624762177467346},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5425456762313843},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.46400681138038635},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.42800435423851013},{"id":"https://openalex.org/keywords/graph-drawing","display_name":"Graph drawing","score":0.4270051419734955},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4153476059436798},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4139418601989746},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22925737500190735},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17599153518676758}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.805007815361023},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6602498292922974},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6436097621917725},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.6111202239990234},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5624762177467346},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5425456762313843},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.46400681138038635},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.42800435423851013},{"id":"https://openalex.org/C112953755","wikidata":"https://www.wikidata.org/wiki/Q739462","display_name":"Graph drawing","level":3,"score":0.4270051419734955},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4153476059436798},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4139418601989746},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22925737500190735},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17599153518676758},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10878-011-9381-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-011-9381-7","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jcomop:v:24:y:2012:i:2:d:10.1007_s10878-011-9381-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-011-9381-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W171848522","https://openalex.org/W193938304","https://openalex.org/W202496218","https://openalex.org/W411619626","https://openalex.org/W1526095213","https://openalex.org/W1530984052","https://openalex.org/W1560307591","https://openalex.org/W1599440454","https://openalex.org/W1870867590","https://openalex.org/W1981505946","https://openalex.org/W2003021478","https://openalex.org/W2003525146","https://openalex.org/W2008443107","https://openalex.org/W2013871179","https://openalex.org/W2038318850","https://openalex.org/W2120892678","https://openalex.org/W2122573548","https://openalex.org/W4240930434"],"related_works":["https://openalex.org/W2015634066","https://openalex.org/W2048339306","https://openalex.org/W3046629113","https://openalex.org/W2210665824","https://openalex.org/W2048639803","https://openalex.org/W4287272854","https://openalex.org/W2604486243","https://openalex.org/W2470646738","https://openalex.org/W130561602","https://openalex.org/W2337656972"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
