{"id":"https://openalex.org/W1870867590","doi":"https://doi.org/10.1007/978-3-642-11440-3_5","title":"Small Grid Drawings of Planar Graphs with Balanced Bipartition","display_name":"Small Grid Drawings of Planar Graphs with Balanced Bipartition","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1870867590","doi":"https://doi.org/10.1007/978-3-642-11440-3_5","mag":"1870867590"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-11440-3_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-11440-3_5","pdf_url":null,"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":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"],"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","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"],"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","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/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":"Takao Nishizeki","raw_affiliation_strings":["Graduate School of Information Sciences, Tohoku University, Sendai, 980-8579, Japan","Graduate School of Information Sciences , Tohoku University , Sendai , Japan"],"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","institution_ids":["https://openalex.org/I201537933"]}]}],"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":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.8882,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.84134615,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"109","issue":"235","first_page":"47","last_page":"57"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9977999925613403,"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":0.9922000169754028,"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/grid","display_name":"Grid","score":0.760730504989624},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6727328300476074},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.6380097270011902},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6308492422103882},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5951736569404602},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5333656668663025},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49867987632751465},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.48141834139823914},{"id":"https://openalex.org/keywords/graph-drawing","display_name":"Graph drawing","score":0.47825920581817627},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46029365062713623},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3731235861778259},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3499758541584015},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23517274856567383},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.16261029243469238},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.06262731552124023}],"concepts":[{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.760730504989624},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6727328300476074},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.6380097270011902},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6308492422103882},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5951736569404602},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5333656668663025},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49867987632751465},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.48141834139823914},{"id":"https://openalex.org/C112953755","wikidata":"https://www.wikidata.org/wiki/Q739462","display_name":"Graph drawing","level":3,"score":0.47825920581817627},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46029365062713623},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3731235861778259},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3499758541584015},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23517274856567383},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.16261029243469238},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.06262731552124023},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-11440-3_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-11440-3_5","pdf_url":null,"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":"mag:2917270459","is_oa":false,"landing_page_url":"https://www.ieice.org/ken/paper/20091016naQH/eng/","pdf_url":null,"source":{"id":"https://openalex.org/S4306512848","display_name":"IEICE Technical Report; IEICE Tech. Rep.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"IEICE Technical Report; IEICE Tech. Rep.","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W171848522","https://openalex.org/W193938304","https://openalex.org/W202496218","https://openalex.org/W411619626","https://openalex.org/W619004858","https://openalex.org/W1502944917","https://openalex.org/W1526095213","https://openalex.org/W1530984052","https://openalex.org/W1560307591","https://openalex.org/W1599440454","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/W2210665824","https://openalex.org/W2048639803","https://openalex.org/W2604486243","https://openalex.org/W4287272854","https://openalex.org/W2470646738","https://openalex.org/W130561602","https://openalex.org/W2337656972","https://openalex.org/W2953014750","https://openalex.org/W1628543033","https://openalex.org/W165147621"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}