{"id":"https://openalex.org/W4391262651","doi":"https://doi.org/10.1007/s11590-023-02089-3","title":"Constrained many-to-many point matching in two dimensions","display_name":"Constrained many-to-many point matching in two dimensions","publication_year":2024,"publication_date":"2024-01-26","ids":{"openalex":"https://openalex.org/W4391262651","doi":"https://doi.org/10.1007/s11590-023-02089-3"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-023-02089-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-023-02089-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-023-02089-3.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11590-023-02089-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054149323","display_name":"L.E. Caraballo","orcid":"https://orcid.org/0000-0002-6847-4283"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"L. E. Caraballo","raw_affiliation_strings":["Departmento de Matem\u00e1tica Aplicada II, Universidad de Sevilla, Seville, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departmento de Matem\u00e1tica Aplicada II, Universidad de Sevilla, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067990900","display_name":"R. A. Castro","orcid":"https://orcid.org/0000-0002-1902-5801"},"institutions":[{"id":"https://openalex.org/I200362191","display_name":"Universidad Aut\u00f3noma Metropolitana","ror":"https://ror.org/02kta5139","country_code":"MX","type":"education","lineage":["https://openalex.org/I200362191"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"R. A. Castro","raw_affiliation_strings":["Departamento de Sistemas, Universidad Aut\u00f3noma Metropolitana Azcapotzalco, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Sistemas, Universidad Aut\u00f3noma Metropolitana Azcapotzalco, Mexico City, Mexico","institution_ids":["https://openalex.org/I200362191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012843243","display_name":"Jos\u00e9 Miguel D\u00edaz-B\u00e1\u00f1ez","orcid":"https://orcid.org/0000-0002-4031-4309"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. M. D\u00edaz-B\u00e1\u00f1ez","raw_affiliation_strings":["Departmento de Matem\u00e1tica Aplicada II, Universidad de Sevilla, Seville, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departmento de Matem\u00e1tica Aplicada II, Universidad de Sevilla, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113105642","display_name":"Marco A. Heredia","orcid":null},"institutions":[{"id":"https://openalex.org/I200362191","display_name":"Universidad Aut\u00f3noma Metropolitana","ror":"https://ror.org/02kta5139","country_code":"MX","type":"education","lineage":["https://openalex.org/I200362191"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"M. A. Heredia","raw_affiliation_strings":["Departamento de Sistemas, Universidad Aut\u00f3noma Metropolitana Azcapotzalco, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Sistemas, Universidad Aut\u00f3noma Metropolitana Azcapotzalco, Mexico City, Mexico","institution_ids":["https://openalex.org/I200362191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068857927","display_name":"Jorge Urrutia","orcid":"https://orcid.org/0000-0002-4158-5979"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"J. Urrutia","raw_affiliation_strings":["Instituto de Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065216965","display_name":"Inmaculada Ventura","orcid":"https://orcid.org/0000-0003-1217-3913"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"I. Ventura","raw_affiliation_strings":["Departmento de Matem\u00e1tica Aplicada II, Universidad de Sevilla, Seville, Spain"],"raw_orcid":"https://orcid.org/0000-0003-1217-3913","affiliations":[{"raw_affiliation_string":"Departmento de Matem\u00e1tica Aplicada II, Universidad de Sevilla, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028630183","display_name":"Francisco J. Zaragoza","orcid":null},"institutions":[{"id":"https://openalex.org/I200362191","display_name":"Universidad Aut\u00f3noma Metropolitana","ror":"https://ror.org/02kta5139","country_code":"MX","type":"education","lineage":["https://openalex.org/I200362191"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"F. J. Zaragoza","raw_affiliation_strings":["Departamento de Sistemas, Universidad Aut\u00f3noma Metropolitana Azcapotzalco, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Sistemas, Universidad Aut\u00f3noma Metropolitana Azcapotzalco, Mexico City, Mexico","institution_ids":["https://openalex.org/I200362191"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065216965"],"corresponding_institution_ids":["https://openalex.org/I79238269"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00768643,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"8","first_page":"1837","last_page":"1854"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9812999963760376,"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"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9812999963760376,"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/T11567","display_name":"semigroups and automata theory","score":0.9416000247001648,"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"}},{"id":"https://openalex.org/T10265","display_name":"Multilingual Education and Policy","score":0.9218999743461609,"subfield":{"id":"https://openalex.org/subfields/3310","display_name":"Linguistics and Language"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.7054312229156494},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5980314016342163},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5220858454704285},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47057101130485535},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3546094298362732},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29803967475891113},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1218683123588562},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08534863591194153}],"concepts":[{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.7054312229156494},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5980314016342163},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5220858454704285},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47057101130485535},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3546094298362732},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29803967475891113},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1218683123588562},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08534863591194153}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-023-02089-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-023-02089-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-023-02089-3.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11590-023-02089-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-023-02089-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-023-02089-3.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1429610611","display_name":null,"funder_award_id":"PID2020-114154RB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G1643949827","display_name":null,"funder_award_id":"AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2309174360","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G2601397997","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2660406951","display_name":null,"funder_award_id":"/ AEI/10","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G2671204574","display_name":null,"funder_award_id":"/ AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G300979063","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3431655644","display_name":null,"funder_award_id":"#734922","funder_id":"https://openalex.org/F4320338438","funder_display_name":"HORIZON EUROPE Marie Sklodowska-Curie Actions"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3681454997","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4017095837","display_name":null,"funder_award_id":"AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G4042783231","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4285484487","display_name":null,"funder_award_id":"#734922","funder_id":"https://openalex.org/F4320323401","funder_display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico"},{"id":"https://openalex.org/G5080475149","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G5421974903","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5550858994","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5805502524","display_name":null,"funder_award_id":"PID2020","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5990900802","display_name":null,"funder_award_id":"CIN/AEI/10.13039/501100011033 (PID2020-114154RB-I00)","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G6347847539","display_name":"Combinatorics of Networks and Computation","funder_award_id":"734922","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6589649124","display_name":null,"funder_award_id":"PID2020-","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G6823456974","display_name":null,"funder_award_id":"AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7084143925","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7266728691","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7535663061","display_name":null,"funder_award_id":"AEI/10.","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7643708868","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G7842005466","display_name":null,"funder_award_id":"Horizon 2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8055432103","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320310967","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320323401","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null},{"id":"https://openalex.org/F4320336053","display_name":"Sistema Nacional de Investigadores","ror":null},{"id":"https://openalex.org/F4320338438","display_name":"HORIZON EUROPE Marie Sklodowska-Curie Actions","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4391262651.pdf"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1530899232","https://openalex.org/W1551121583","https://openalex.org/W1967648182","https://openalex.org/W1993265270","https://openalex.org/W2011003805","https://openalex.org/W2041657504","https://openalex.org/W2063722161","https://openalex.org/W2064071538","https://openalex.org/W2098661994","https://openalex.org/W2156303926","https://openalex.org/W2222512263","https://openalex.org/W2268666097","https://openalex.org/W2943338055","https://openalex.org/W3199722554","https://openalex.org/W4206648722"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"the":[2,25,54,59,89,138,157,181],"minimum-weight":[3,90,131],"many-to-many":[4,132],"point":[5,39,133],"matching":[6,92,134],"problem,":[7,93],"we":[8,33,127],"are":[9,141,186],"given":[10,142,187],"a":[11,18,86,108,147,161],"set":[12,19],"R":[13,41,183],"of":[14,21,27,56,111,164],"red":[15],"points":[16,23,46,61,159],"and":[17,32,49,94,154,184],"B":[20,48,185],"blue":[22],"in":[24,40,47,69,121,124,136,174],"plane,":[26],"total":[28],"size":[29],"N":[30,177],",":[31],"want":[34],"to":[35,42,88,101,114,169],"pair":[36,149],"up":[37],"each":[38],"one":[43],"or":[44],"more":[45],"vice":[50],"versa":[51],"so":[52],"that":[53],"sum":[55],"distances":[57],"between":[58],"paired":[60],"is":[62,97],"minimized.":[63],"This":[64],"problem":[65],"can":[66,150],"be":[67,102,115,151],"solved":[68],"$$O(N^3)$$":[70],"<mml:math":[71],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[72],"<mml:mrow>":[73],"<mml:mi>O</mml:mi>":[74],"<mml:mo>(</mml:mo>":[75],"<mml:msup>":[76],"<mml:mi>N</mml:mi>":[77],"<mml:mn>3</mml:mn>":[78],"</mml:msup>":[79],"<mml:mo>)</mml:mo>":[80],"</mml:mrow>":[81],"</mml:math>":[82],"time":[83,179],"by":[84,118,143,189],"using":[85],"reduction":[87],"perfect":[91],"thus,":[95],"it":[96],"not":[98],"fast":[99],"enough":[100],"used":[103],"for":[104],"on-line":[105],"systems":[106],"where":[107],"large":[109],"number":[110],"tunes":[112],"need":[113],"compared.":[116],"Motivated":[117],"similarity":[119],"problems":[120,135],"music":[122],"theory,":[123],"this":[125],"paper":[126],"study":[128],"several":[129],"constrained":[130,172],"which":[137],"allowed":[139],"pairings":[140],"geometric":[144],"restrictions,":[145],"i.e.,":[146],"bichromatic":[148],"matched":[152],"if":[153,156],"only":[155],"corresponding":[158],"satisfy":[160],"specific":[162],"condition":[163],"closeness.":[165],"We":[166],"provide":[167],"algorithms":[168],"solve":[170],"these":[171],"versions":[173],"O":[175],"(":[176],")":[178],"when":[180],"sets":[182],"ordered":[188],"abscissa.":[190]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
