{"id":"https://openalex.org/W1996892843","doi":"https://doi.org/10.1007/978-3-642-40328-6_8","title":"On the Total Perimeter of Homothetic Convex Bodies in a Convex Container","display_name":"On the Total Perimeter of Homothetic Convex Bodies in a Convex Container","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1996892843","doi":"https://doi.org/10.1007/978-3-642-40328-6_8","mag":"1996892843"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-40328-6_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40328-6_8","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":"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/A5091313409","display_name":"Adrian Dumitrescu","orcid":"https://orcid.org/0000-0002-1118-0321"},"institutions":[{"id":"https://openalex.org/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Adrian Dumitrescu","raw_affiliation_strings":["Department of Computer Science, University of Wisconsin\u2013Milwaukee, WI, USA","Univ. of Wisconsin Milwaukee"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Wisconsin\u2013Milwaukee, WI, USA","institution_ids":["https://openalex.org/I43579087"]},{"raw_affiliation_string":"Univ. of Wisconsin Milwaukee","institution_ids":["https://openalex.org/I43579087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030799674","display_name":"Csaba D. T\u00f3th","orcid":"https://orcid.org/0000-0002-8769-3190"},"institutions":[{"id":"https://openalex.org/I127339247","display_name":"California State University System","ror":"https://ror.org/020qm1538","country_code":"US","type":"education","lineage":["https://openalex.org/I127339247"]},{"id":"https://openalex.org/I157638225","display_name":"California State University, Northridge","ror":"https://ror.org/005f5hv41","country_code":"US","type":"education","lineage":["https://openalex.org/I157638225"]},{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"Csaba D. T\u00f3th","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Calgary, Canada","Department of Mathematics, California State University, Northridge, CA, USA","University of Calgary","California State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Calgary, Canada","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"Department of Mathematics, California State University, Northridge, CA, USA","institution_ids":["https://openalex.org/I157638225"]},{"raw_affiliation_string":"University of Calgary","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"California State University","institution_ids":["https://openalex.org/I127339247"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"96","last_page":"109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9983999729156494,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9621000289916992,"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/homothetic-transformation","display_name":"Homothetic transformation","score":0.8618149757385254},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8028761744499207},{"id":"https://openalex.org/keywords/convex-polygon","display_name":"Convex polygon","score":0.7830580472946167},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.7252165079116821},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6657087802886963},{"id":"https://openalex.org/keywords/perimeter","display_name":"Perimeter","score":0.621347963809967},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.6022096276283264},{"id":"https://openalex.org/keywords/container","display_name":"Container (type theory)","score":0.5948753356933594},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5516716241836548},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.5164127945899963},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5119813680648804},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.47118476033210754},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4169797897338867},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.36673814058303833},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2303476333618164},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.220558762550354},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12751281261444092},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.05184599757194519}],"concepts":[{"id":"https://openalex.org/C91709909","wikidata":"https://www.wikidata.org/wiki/Q583960","display_name":"Homothetic transformation","level":2,"score":0.8618149757385254},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8028761744499207},{"id":"https://openalex.org/C2780034980","wikidata":"https://www.wikidata.org/wiki/Q3259505","display_name":"Convex polygon","level":3,"score":0.7830580472946167},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.7252165079116821},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6657087802886963},{"id":"https://openalex.org/C98503990","wikidata":"https://www.wikidata.org/wiki/Q28474","display_name":"Perimeter","level":2,"score":0.621347963809967},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.6022096276283264},{"id":"https://openalex.org/C2781018962","wikidata":"https://www.wikidata.org/wiki/Q5164884","display_name":"Container (type theory)","level":2,"score":0.5948753356933594},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5516716241836548},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.5164127945899963},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5119813680648804},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.47118476033210754},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4169797897338867},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.36673814058303833},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2303476333618164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.220558762550354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12751281261444092},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.05184599757194519},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-40328-6_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40328-6_8","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.550000011920929,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1488094097","https://openalex.org/W1495550473","https://openalex.org/W1527583442","https://openalex.org/W1535954744","https://openalex.org/W1539895965","https://openalex.org/W1968165428","https://openalex.org/W1988573007","https://openalex.org/W2044260792","https://openalex.org/W2047747795","https://openalex.org/W2079896400","https://openalex.org/W2153440815","https://openalex.org/W2165142526","https://openalex.org/W2167578217","https://openalex.org/W2569985645","https://openalex.org/W2952750818","https://openalex.org/W3121675905"],"related_works":["https://openalex.org/W2046620241","https://openalex.org/W1969425543","https://openalex.org/W2901878621","https://openalex.org/W1970960579","https://openalex.org/W2021838999","https://openalex.org/W2766634095","https://openalex.org/W2900805362","https://openalex.org/W2402215390","https://openalex.org/W2043445244","https://openalex.org/W2085648318"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-26T07:53:14.480251","created_date":"2025-10-10T00:00:00"}
