{"id":"https://openalex.org/W2104947808","doi":"https://doi.org/10.1007/11841036_17","title":"Necklaces, Convolutions, and X + Y","display_name":"Necklaces, Convolutions, and X + Y","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2104947808","doi":"https://doi.org/10.1007/11841036_17","mag":"2104947808"},"language":"en","primary_location":{"id":"doi:10.1007/11841036_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11841036_17","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":null,"display_name":"David Bremner","orcid":null},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"David Bremner","raw_affiliation_strings":["Faculty of Computer Science, University of New Brunswick, Fredericton, New Brunswick, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, University of New Brunswick, Fredericton, New Brunswick, Canada","institution_ids":["https://openalex.org/I106938459"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032955418","display_name":"Timothy M. Chan","orcid":"https://orcid.org/0000-0002-8093-0675"},"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":true,"raw_author_name":"Timothy M. Chan","raw_affiliation_strings":["School of Computer Science, University of Waterloo, Waterloo, Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Waterloo, Waterloo, Ontario, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083684609","display_name":"Erik D. Demaine","orcid":"https://orcid.org/0000-0003-3803-5703"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Erik D. Demaine","raw_affiliation_strings":["Computer Science and Artificial Intelligence Laboratory, Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Artificial Intelligence Laboratory, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042187195","display_name":"Jeff Erickson","orcid":"https://orcid.org/0000-0002-5253-2282"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jeff Erickson","raw_affiliation_strings":["Computer Science Department, University of Illinois, Urbana-Champaign, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111463493","display_name":"Ferr\u00e1n Hurtado","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Ferran Hurtado","raw_affiliation_strings":["Departament de Matem\u00e0tica Aplicada II, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica Aplicada II, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088852372","display_name":"John Iacono","orcid":"https://orcid.org/0000-0001-8885-8172"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John Iacono","raw_affiliation_strings":["Department of Computer and Information Science, Polytechnic University, Brooklyn, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, Polytechnic University, Brooklyn, NY, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072214666","display_name":"Stefan Langerman","orcid":"https://orcid.org/0000-0001-6999-3088"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Stefan Langerman","raw_affiliation_strings":["Chercheur qualifi\u00e9 du FNRS, D\u00e9partment d\u2019Informatique, Universit\u00e9 Libre de Bruxelles, Brussels, Belgium","Chercheur qualifi\u00e9 du FNRS, D\u00e9partment d'Informatique, Universit\u00e9 Libre de Bruxelles, Brussels, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chercheur qualifi\u00e9 du FNRS, D\u00e9partment d\u2019Informatique, Universit\u00e9 Libre de Bruxelles, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Chercheur qualifi\u00e9 du FNRS, D\u00e9partment d'Informatique, Universit\u00e9 Libre de Bruxelles, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028946392","display_name":"Perouz Taslakian","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Perouz Taslakian","raw_affiliation_strings":["School of Computer Science, McGill University, Montr\u00e9al, Qu\u00e9bec, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Montr\u00e9al, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5028946392","https://openalex.org/A5032955418","https://openalex.org/A5042187195","https://openalex.org/A5072214666","https://openalex.org/A5083684609","https://openalex.org/A5111463493"],"corresponding_institution_ids":["https://openalex.org/I106938459","https://openalex.org/I132053463","https://openalex.org/I151746483","https://openalex.org/I157725225","https://openalex.org/I5023651","https://openalex.org/I63966007","https://openalex.org/I9617848"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"160","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994000196456909,"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":0.9994000196456909,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T13664","display_name":"Genome Rearrangement Algorithms","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.7204427719116211},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5538439154624939},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.5308557152748108},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.5029544234275818},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5016975402832031},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4966159462928772},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4799649715423584},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4668743312358856},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4542045295238495},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.41728657484054565},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.41017958521842957},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3451147675514221},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3277561366558075},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1564697027206421},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08449149131774902}],"concepts":[{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.7204427719116211},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5538439154624939},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.5308557152748108},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.5029544234275818},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5016975402832031},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4966159462928772},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4799649715423584},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4668743312358856},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4542045295238495},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.41728657484054565},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.41017958521842957},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3451147675514221},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3277561366558075},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1564697027206421},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08449149131774902},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11841036_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11841036_17","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W103364611","https://openalex.org/W1492546882","https://openalex.org/W1514735749","https://openalex.org/W1518641734","https://openalex.org/W1566079789","https://openalex.org/W1607456165","https://openalex.org/W1988985328","https://openalex.org/W1996113955","https://openalex.org/W1996641400","https://openalex.org/W2014338990","https://openalex.org/W2019315437","https://openalex.org/W2028341270","https://openalex.org/W2049647076","https://openalex.org/W2061171222","https://openalex.org/W2067386559","https://openalex.org/W2069502471","https://openalex.org/W2073512309","https://openalex.org/W2091505308","https://openalex.org/W2093626764","https://openalex.org/W2097382431","https://openalex.org/W2100020153","https://openalex.org/W2112643218","https://openalex.org/W2146067709","https://openalex.org/W2152008715","https://openalex.org/W2153063335","https://openalex.org/W2153517105","https://openalex.org/W2153655707","https://openalex.org/W2273959428","https://openalex.org/W2274238134","https://openalex.org/W2301132366","https://openalex.org/W2568939725","https://openalex.org/W2623873233","https://openalex.org/W2915044777","https://openalex.org/W2946046356","https://openalex.org/W3129885716","https://openalex.org/W3145128584","https://openalex.org/W4206648722","https://openalex.org/W4234407907","https://openalex.org/W4249667877","https://openalex.org/W4285719527","https://openalex.org/W6812491094"],"related_works":["https://openalex.org/W2739612537","https://openalex.org/W2349174696","https://openalex.org/W2360241746","https://openalex.org/W4313041667","https://openalex.org/W2767599893","https://openalex.org/W2381572297","https://openalex.org/W3114770763","https://openalex.org/W2106741186","https://openalex.org/W2368890809","https://openalex.org/W4298146145"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}