{"id":"https://openalex.org/W2560491353","doi":"https://doi.org/10.1142/s0219525916500107","title":"THE ORDER OF A 2-SEQUENCE AND THE COMPLEXITY OF DIGITAL IMAGES","display_name":"THE ORDER OF A 2-SEQUENCE AND THE COMPLEXITY OF DIGITAL IMAGES","publication_year":2016,"publication_date":"2016-06-01","ids":{"openalex":"https://openalex.org/W2560491353","doi":"https://doi.org/10.1142/s0219525916500107","mag":"2560491353"},"language":"en","primary_location":{"id":"doi:10.1142/s0219525916500107","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219525916500107","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"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":"Advances in Complex Systems","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/A5037836788","display_name":"Tadas Telksnys","orcid":"https://orcid.org/0000-0002-4975-8467"},"institutions":[{"id":"https://openalex.org/I172574986","display_name":"Kaunas University of Technology","ror":"https://ror.org/01me6gb93","country_code":"LT","type":"education","lineage":["https://openalex.org/I172574986"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"TADAS TELKSNYS","raw_affiliation_strings":["Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania","institution_ids":["https://openalex.org/I172574986"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001095277","display_name":"Zenonas Navickas","orcid":"https://orcid.org/0000-0002-8725-3005"},"institutions":[{"id":"https://openalex.org/I172574986","display_name":"Kaunas University of Technology","ror":"https://ror.org/01me6gb93","country_code":"LT","type":"education","lineage":["https://openalex.org/I172574986"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"ZENONAS NAVICKAS","raw_affiliation_strings":["Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania","institution_ids":["https://openalex.org/I172574986"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066082248","display_name":"Martynas Vaidelys","orcid":"https://orcid.org/0000-0003-3490-2814"},"institutions":[{"id":"https://openalex.org/I172574986","display_name":"Kaunas University of Technology","ror":"https://ror.org/01me6gb93","country_code":"LT","type":"education","lineage":["https://openalex.org/I172574986"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"MARTYNAS VAIDELYS","raw_affiliation_strings":["Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania","institution_ids":["https://openalex.org/I172574986"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040829874","display_name":"Minvydas Ragulskis","orcid":"https://orcid.org/0000-0002-3348-9717"},"institutions":[{"id":"https://openalex.org/I172574986","display_name":"Kaunas University of Technology","ror":"https://ror.org/01me6gb93","country_code":"LT","type":"education","lineage":["https://openalex.org/I172574986"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"MINVYDAS RAGULSKIS","raw_affiliation_strings":["Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania","institution_ids":["https://openalex.org/I172574986"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I172574986"],"apc_list":null,"apc_paid":null,"fwci":0.3482,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69887109,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"19","issue":"04n05","first_page":"1650010","last_page":"1650010"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9761000275611877,"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"}},"topics":[{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9761000275611877,"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/T10320","display_name":"Neural Networks and Applications","score":0.9753000140190125,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9598000049591064,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.8615662455558777},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.7681201696395874},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.642306923866272},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.500821590423584},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4567374885082245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40813854336738586},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34215348958969116},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.06864160299301147}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.8615662455558777},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.7681201696395874},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.642306923866272},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.500821590423584},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4567374885082245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40813854336738586},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34215348958969116},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.06864160299301147},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219525916500107","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219525916500107","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"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":"Advances in Complex Systems","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:acsxxx:v:19:y:2016:i:04n05:p:1-25","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219525916500107","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W595863337","https://openalex.org/W1016468751","https://openalex.org/W1535144613","https://openalex.org/W1827382781","https://openalex.org/W1876456565","https://openalex.org/W1963869928","https://openalex.org/W1967141626","https://openalex.org/W1972925812","https://openalex.org/W1998220024","https://openalex.org/W2005748876","https://openalex.org/W2023464931","https://openalex.org/W2037819791","https://openalex.org/W2051774519","https://openalex.org/W2053396180","https://openalex.org/W2057616013","https://openalex.org/W2057839622","https://openalex.org/W2058042004","https://openalex.org/W2059432853","https://openalex.org/W2061831401","https://openalex.org/W2063840230","https://openalex.org/W2066436194","https://openalex.org/W2068683606","https://openalex.org/W2069661836","https://openalex.org/W2074376970","https://openalex.org/W2075559254","https://openalex.org/W2079406917","https://openalex.org/W2081681829","https://openalex.org/W2082999365","https://openalex.org/W2099593264","https://openalex.org/W2102892532","https://openalex.org/W2124440336","https://openalex.org/W2168090960","https://openalex.org/W2238042308","https://openalex.org/W2262385674","https://openalex.org/W2325399301","https://openalex.org/W2605543710","https://openalex.org/W3123720835","https://openalex.org/W3145128584","https://openalex.org/W4229706427","https://openalex.org/W4246219036","https://openalex.org/W4247052524","https://openalex.org/W4298072523"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2369178846","https://openalex.org/W2082716031","https://openalex.org/W2370289839","https://openalex.org/W2933494595","https://openalex.org/W3144842310","https://openalex.org/W2206006039"],"abstract_inverted_index":{"The":[0,13],"concept":[1],"of":[2,5,15,25,28,41,59,68],"the":[3,26,39,47,57,66],"order":[4,14,27,45,58],"a":[6,16,19],"2-sequence":[7,17],"is":[8,18,54],"introduced":[9],"in":[10],"this":[11],"paper.":[12],"natural":[20],"but":[21],"not":[22],"trivial":[23],"extension":[24],"one-dimensional":[29],"(1D)":[30],"linear":[31],"recurrent":[32],"sequences.":[33],"Necessary":[34],"and":[35],"sufficient":[36],"conditions":[37],"for":[38],"generation":[40],"2-sequences":[42,60],"with":[43,71],"finite":[44],"from":[46],"minimal":[48],"information":[49],"subset":[50],"are":[51],"derived.":[52],"It":[53],"demonstrated":[55],"that":[56],"can":[61],"be":[62],"used":[63],"to":[64,73],"estimate":[65],"complexity":[67],"self-organizing":[69],"patterns":[70],"respect":[72],"each":[74],"spatial":[75],"coordinate.":[76]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
