{"id":"https://openalex.org/W2537342248","doi":"https://doi.org/10.4230/lipics.mfcs.2016.37","title":"On the General Chain Pair Simplification Problem","display_name":"On the General Chain Pair Simplification Problem","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2537342248","doi":"https://doi.org/10.4230/lipics.mfcs.2016.37","mag":"2537342248"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://drops.dagstuhl.de/opus/volltexte/2016/6451/pdf/LIPIcs-MFCS-2016-37.pdf/","pdf_url":null,"source":{"id":"https://openalex.org/S4306420488","display_name":"Mathematical Foundations of Computer Science","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":[],"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/A5080242645","display_name":"Chenglin Fan","orcid":"https://orcid.org/0009-0007-7645-8367"},"institutions":[{"id":"https://openalex.org/I23732399","display_name":"Montana State University","ror":"https://ror.org/02w0trx84","country_code":"US","type":"funder","lineage":["https://openalex.org/I23732399","https://openalex.org/I4210126032"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chenglin Fan","raw_affiliation_strings":["Montana State University, Bozeman, United States"],"affiliations":[{"raw_affiliation_string":"Montana State University, Bozeman, United States","institution_ids":["https://openalex.org/I23732399"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007090107","display_name":"Omrit Filtser","orcid":"https://orcid.org/0000-0002-3978-1428"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"funder","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Omrit Filtser","raw_affiliation_strings":["Ben-Gurion University of the Negev, Beersheba, Israel"],"affiliations":[{"raw_affiliation_string":"Ben-Gurion University of the Negev, Beersheba, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104278282","display_name":"Matthew J. Katz","orcid":"https://orcid.org/0000-0002-5971-6746"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"funder","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Matthew J. Katz","raw_affiliation_strings":["Ben-Gurion University of the Negev, Beersheba, Israel"],"affiliations":[{"raw_affiliation_string":"Ben-Gurion University of the Negev, Beersheba, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070925973","display_name":"Binhai Zhu","orcid":"https://orcid.org/0000-0002-3929-4128"},"institutions":[{"id":"https://openalex.org/I23732399","display_name":"Montana State University","ror":"https://ror.org/02w0trx84","country_code":"US","type":"funder","lineage":["https://openalex.org/I23732399","https://openalex.org/I4210126032"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Binhai Zhu","raw_affiliation_strings":["Montana State University, Bozeman, United States"],"affiliations":[{"raw_affiliation_string":"Montana State University, Bozeman, United States","institution_ids":["https://openalex.org/I23732399"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.477,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":77,"max":79},"biblio":{"volume":null,"issue":null,"first_page":"14","last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11617","display_name":"Enzyme Production and Characterization","score":0.9904,"subfield":{"id":"https://openalex.org/subfields/1305","display_name":"Biotechnology"},"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"}},"topics":[{"id":"https://openalex.org/T11617","display_name":"Enzyme Production and Characterization","score":0.9904,"subfield":{"id":"https://openalex.org/subfields/1305","display_name":"Biotechnology"},"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"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9672,"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/T10519","display_name":"Advanced Proteomics Techniques and Applications","score":0.9645,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hausdorff-distance","display_name":"Hausdorff distance","score":0.6809099},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.5231715},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4631324}],"concepts":[{"id":"https://openalex.org/C141898687","wikidata":"https://www.wikidata.org/wiki/Q1501997","display_name":"Hausdorff distance","level":2,"score":0.6809099},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6643757},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6050855},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.59264976},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.55236757},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.5231715},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.49484628},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4631324},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.41257846},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40731016},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34859836},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.16118026},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06970212},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://drops.dagstuhl.de/opus/volltexte/2016/6451/pdf/LIPIcs-MFCS-2016-37.pdf/","pdf_url":null,"source":{"id":"https://openalex.org/S4306420488","display_name":"Mathematical Foundations of Computer Science","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W83942656","https://openalex.org/W3184650363","https://openalex.org/W3042247227","https://openalex.org/W3023761765","https://openalex.org/W3021886364","https://openalex.org/W2893416801","https://openalex.org/W2490687350","https://openalex.org/W2264989043","https://openalex.org/W2157795846","https://openalex.org/W2139532350","https://openalex.org/W2136807817","https://openalex.org/W2126625228","https://openalex.org/W2091376083","https://openalex.org/W2083364906","https://openalex.org/W2077513533","https://openalex.org/W2042670297","https://openalex.org/W2021784334","https://openalex.org/W2016538969","https://openalex.org/W1985300487","https://openalex.org/W1899441833"],"abstract_inverted_index":{"The":[0],"Chain":[1],"Pair":[2],"Simplification":[3],"problem":[4,17,88],"(CPS)":[5],"was":[6],"posed":[7],"by":[8,15,130,143,154],"Bereg":[9],"et":[10],"al.":[11],"who":[12],"were":[13],"motivated":[14],"the":[16,23,44,55,58,64,73,76,84,87,99,102,108,114,119,122,125,131,137,144,162,174,177,192],"of":[18,29,39,50,57,75,104,124],"efficiently":[19],"computing":[20],"and":[21,42,113,135,186],"visualizing":[22],"structural":[24],"resemblance":[25],"between":[26,68],"a":[27],"pair":[28],"protein":[30],"backbones.":[31],"In":[32],"this":[33,94],"problem,":[34],"given":[35],"two":[36,126],"polygonal":[37],"chains":[38],"lengths":[40,56],"n":[41],"m,":[43],"goal":[45],"is":[46,89,128,141,151,184],"to":[47],"simplify":[48],"both":[49,107],"them":[51,69],"simultaneously,":[52],"so":[53],"that":[54,149,182],"resulting":[59],"simplifications":[60,77,127],"as":[61,63],"well":[62],"discrete":[65,109,132],"Frechet":[66,110],"distance":[67,111,116],"are":[70,78],"bounded.":[71],"When":[72],"vertices":[74],"arbitrary":[79],"(i.e.,":[80],"not":[81],"necessarily":[82],"from":[83],"original":[85],"chains),":[86],"called":[90],"General":[91],"CPS":[92],"(GCPS).\r\n\t\r\nIn":[93],"paper":[95],"we":[96,180],"consider":[97],"for":[98,161,173,191],"first":[100],"time":[101,159],"complexity":[103],"GCPS":[105],"under":[106],"(GCPS-3F)":[112],"Hausdorff":[115,145],"(GCPS-2H).":[117],"(In":[118],"former":[120],"version,":[121],"quality":[123],"measured":[129,142],"Fr'echet":[133],"distance,":[134],"in":[136],"latter":[138],"version":[139],"it":[140],"distance.)":[146],"We":[147,166],"prove":[148],"GCPS-3F":[150],"polynomially":[152],"solvable,":[153],"presenting":[155],"an":[156,169,188],"widetilde-O((n+m)^6":[157],"min{n,m})":[158],"algorithm":[160,172,190],"corresponding":[163],"minimization":[164],"problem.":[165,175,193],"also":[167],"present":[168,187],"O((n+m)^4)":[170],"2-approximation":[171],"On":[176],"other":[178],"hand,":[179],"show":[181],"GCPS-2H":[183],"NP-complete,":[185],"approximation":[189]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2537342248","counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-03-13T09:26:55.611667","created_date":"2016-10-28"}