{"id":"https://openalex.org/W2066454279","doi":"https://doi.org/10.1142/s0129054106004194","title":"SORTING SIGNED PERMUTATIONS BY FIXED-LENGTH REVERSALS","display_name":"SORTING SIGNED PERMUTATIONS BY FIXED-LENGTH REVERSALS","publication_year":2006,"publication_date":"2006-08-01","ids":{"openalex":"https://openalex.org/W2066454279","doi":"https://doi.org/10.1142/s0129054106004194","mag":"2066454279"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054106004194","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054106004194","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"},"type":"article","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/A5012591067","display_name":"Xingqin Qi","orcid":"https://orcid.org/0000-0002-2818-7175"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"XINGQIN QI","raw_affiliation_strings":["School of Mathematics and System Sciences, Shandong University, Jinan, 250100, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and System Sciences, Shandong University, Jinan, 250100, People's Republic of China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100696687","display_name":"Guojun Li","orcid":"https://orcid.org/0000-0003-1581-5897"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"GUOJUN LI","raw_affiliation_strings":["School of Mathematics and System Sciences, Shandong University, Jinan, 250100, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and System Sciences, Shandong University, Jinan, 250100, People's Republic of China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103447060","display_name":"Jichang Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JICHANG WU","raw_affiliation_strings":["School of Mathematics and System Sciences, Shandong University, Jinan, 250100, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and System Sciences, Shandong University, Jinan, 250100, People's Republic of China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017344694","display_name":"Bingqiang Liu","orcid":"https://orcid.org/0000-0002-5734-1135"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"BINGQIANG LIU","raw_affiliation_strings":["School of Mathematics and System Sciences, Shandong University, Jinan, 250100, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and System Sciences, Shandong University, Jinan, 250100, People's Republic of China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13389013,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"04","first_page":"933","last_page":"948"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13664","display_name":"Genome Rearrangement Algorithms","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T13664","display_name":"Genome Rearrangement Algorithms","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9690999984741211,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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":0.9429000020027161,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7837263941764832},{"id":"https://openalex.org/keywords/social-connectedness","display_name":"Social connectedness","score":0.7708954215049744},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7550317645072937},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.7115393280982971},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.603071928024292},{"id":"https://openalex.org/keywords/parity-of-a-permutation","display_name":"Parity of a permutation","score":0.5680599212646484},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.5476616024971008},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4629436731338501},{"id":"https://openalex.org/keywords/cyclic-permutation","display_name":"Cyclic permutation","score":0.19633305072784424},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13506180047988892},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.09490403532981873},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07273611426353455}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7837263941764832},{"id":"https://openalex.org/C201943243","wikidata":"https://www.wikidata.org/wiki/Q7551008","display_name":"Social connectedness","level":2,"score":0.7708954215049744},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7550317645072937},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7115393280982971},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.603071928024292},{"id":"https://openalex.org/C64137656","wikidata":"https://www.wikidata.org/wiki/Q1064405","display_name":"Parity of a permutation","level":4,"score":0.5680599212646484},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.5476616024971008},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4629436731338501},{"id":"https://openalex.org/C77670614","wikidata":"https://www.wikidata.org/wiki/Q212130","display_name":"Cyclic permutation","level":3,"score":0.19633305072784424},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13506180047988892},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.09490403532981873},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07273611426353455},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054106004194","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054106004194","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.46000000834465027}],"awards":[],"funders":[{"id":"https://openalex.org/F4320311526","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1965701660","https://openalex.org/W1968192648","https://openalex.org/W2124862004"],"related_works":["https://openalex.org/W2951352292","https://openalex.org/W2382039200","https://openalex.org/W2964309395","https://openalex.org/W2950043401","https://openalex.org/W2506973052","https://openalex.org/W2952804671","https://openalex.org/W937918267","https://openalex.org/W1715361633","https://openalex.org/W2140809923","https://openalex.org/W2129778201"],"abstract_inverted_index":{"A":[0],"signed":[1,27,62,94,119],"n-permutation":[2],"is":[3,12,65,90,109],"a":[4,15,113],"permutation":[5],"on":[6],"{1,2,\u2026,n}":[7],"in":[8,79],"which":[9],"each":[10,74],"element":[11],"labelled":[13],"by":[14,29,55,76],"positive":[16],"or":[17],"negative":[18],"sign.":[19],"Here":[20],"we":[21,102],"consider":[22],"the":[23,34,85,91,116],"problem":[24,106],"of":[25,38,93,115,118],"sorting":[26],"permutations":[28,63,95],"fixed-length":[30,97],"reversals.":[31],"Indeed,":[32],"limiting":[33],"transformations":[35],"to":[36,53,73],"reversals":[37],"length":[39],"exactly":[40],"k":[41],"can":[42,49,70],"be":[43,51,71],"very":[44],"restrictive,":[45],"for":[46,59,123],"example,":[47],"(+1,+3,+2,+4,\u2026,+n)":[48],"never":[50],"sorted":[52,72],"(+1,+2,+3,+4,\u2026,+n)":[54],"2-reversals.":[56],"That":[57],"is,":[58],"given":[60],"two":[61],"it":[64],"not":[66],"obvious":[67],"whether":[68],"they":[69],"other":[75],"k-reversals.":[77],"Thus":[78],"1996,":[80],"Chen":[81],"and":[82,111,126],"Skiena":[83],"gave":[84],"following":[86],"open":[87,105],"problem:":[88],"what":[89],"connectedness":[92,117],"under":[96,121],"reversals?":[98],"In":[99],"this":[100,104],"paper,":[101],"resolve":[103],"when":[107],"\"fixed-length\"":[108],"even,":[110],"give":[112],"characterization":[114],"n-permutations":[120],"2l-reversal,":[122],"both":[124],"linear":[125],"circular":[127],"permutations.":[128]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}