{"id":"https://openalex.org/W4401199217","doi":"https://doi.org/10.1142/s179383092450068x","title":"A new encoding/decoding algorithm via Fibonacci\u2013Lucas tree diagrams","display_name":"A new encoding/decoding algorithm via Fibonacci\u2013Lucas tree diagrams","publication_year":2024,"publication_date":"2024-07-31","ids":{"openalex":"https://openalex.org/W4401199217","doi":"https://doi.org/10.1142/s179383092450068x"},"language":"en","primary_location":{"id":"doi:10.1142/s179383092450068x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383092450068x","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","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/A5026698482","display_name":"Nihal Y\u0131lmaz \u00d6zg\u00fcr","orcid":"https://orcid.org/0000-0002-8152-1830"},"institutions":[{"id":"https://openalex.org/I132257509","display_name":"Izmir University","ror":"https://ror.org/013h3xr51","country_code":"TR","type":"education","lineage":["https://openalex.org/I132257509"]},{"id":"https://openalex.org/I4387154896","display_name":"\u0130zmir Demokrasi \u00dcniversitesi","ror":"https://ror.org/04c152q53","country_code":null,"type":"education","lineage":["https://openalex.org/I4387154896"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Ni\u0307hal \u00d6zg\u00fcr","raw_affiliation_strings":["Department of Mathematics, \u0130zmir Democracy University, 35140 Karaba\u011flar, \u0130zmi\u0307r, T\u00fcrki\u0307ye"],"raw_orcid":"https://orcid.org/0000-0002-8152-1830","affiliations":[{"raw_affiliation_string":"Department of Mathematics, \u0130zmir Democracy University, 35140 Karaba\u011flar, \u0130zmi\u0307r, T\u00fcrki\u0307ye","institution_ids":["https://openalex.org/I132257509","https://openalex.org/I4387154896"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053273705","display_name":"S\u00fcmeyra U\u00e7ar","orcid":"https://orcid.org/0000-0002-6628-526X"},"institutions":[{"id":"https://openalex.org/I115600380","display_name":"Bal\u0131kesir University","ror":"https://ror.org/02tv7db43","country_code":"TR","type":"education","lineage":["https://openalex.org/I115600380"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"S\u00fcmeyra U\u00e7ar","raw_affiliation_strings":["Department of Mathematics, Bal\u0131kesir University, 10145 Bal\u0131kesir, T\u00fcrki\u0307ye"],"raw_orcid":"https://orcid.org/0000-0002-6628-526X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bal\u0131kesir University, 10145 Bal\u0131kesir, T\u00fcrki\u0307ye","institution_ids":["https://openalex.org/I115600380"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026986423","display_name":"N\u0131hal Ta\u015f","orcid":"https://orcid.org/0000-0002-4535-4019"},"institutions":[{"id":"https://openalex.org/I115600380","display_name":"Bal\u0131kesir University","ror":"https://ror.org/02tv7db43","country_code":"TR","type":"education","lineage":["https://openalex.org/I115600380"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Ni\u0307hal Ta\u015f","raw_affiliation_strings":["Department of Mathematics, Bal\u0131kesir University, 10145 Bal\u0131kesir, T\u00fcrki\u0307ye"],"raw_orcid":"https://orcid.org/0000-0002-4535-4019","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bal\u0131kesir University, 10145 Bal\u0131kesir, T\u00fcrki\u0307ye","institution_ids":["https://openalex.org/I115600380"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110849424","display_name":"\u00d6znur \u00d6ztun\u00e7 Kaymak","orcid":"https://orcid.org/0000-0003-3832-9947"},"institutions":[{"id":"https://openalex.org/I132257509","display_name":"Izmir University","ror":"https://ror.org/013h3xr51","country_code":"TR","type":"education","lineage":["https://openalex.org/I132257509"]},{"id":"https://openalex.org/I4387154896","display_name":"\u0130zmir Demokrasi \u00dcniversitesi","ror":"https://ror.org/04c152q53","country_code":null,"type":"education","lineage":["https://openalex.org/I4387154896"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"\u00d6znur \u00d6ztun\u00e7 Kaymak","raw_affiliation_strings":["Department of Information Technology, \u0130zmir Democracy University, 35140 Karaba\u011flar, \u0130zmi\u0307r, T\u00fcrki\u0307ye"],"raw_orcid":"https://orcid.org/0000-0003-3832-9947","affiliations":[{"raw_affiliation_string":"Department of Information Technology, \u0130zmir Democracy University, 35140 Karaba\u011flar, \u0130zmi\u0307r, T\u00fcrki\u0307ye","institution_ids":["https://openalex.org/I132257509","https://openalex.org/I4387154896"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2503,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51813823,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"17","issue":"04","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9800000190734863,"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/T11130","display_name":"Coding theory and cryptography","score":0.9681000113487244,"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/fibonacci-number","display_name":"Fibonacci number","score":0.8495426177978516},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6856786012649536},{"id":"https://openalex.org/keywords/fibonacci-polynomials","display_name":"Fibonacci polynomials","score":0.6524254679679871},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6083981990814209},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.5753452181816101},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5659421682357788},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5101850032806396},{"id":"https://openalex.org/keywords/lucas-number","display_name":"Lucas number","score":0.5093844532966614},{"id":"https://openalex.org/keywords/pisano-period","display_name":"Pisano period","score":0.49822092056274414},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42397454380989075},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3238458037376404},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21870800852775574},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.0695338249206543}],"concepts":[{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.8495426177978516},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6856786012649536},{"id":"https://openalex.org/C79117305","wikidata":"https://www.wikidata.org/wiki/Q974295","display_name":"Fibonacci polynomials","level":4,"score":0.6524254679679871},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6083981990814209},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.5753452181816101},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5659421682357788},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5101850032806396},{"id":"https://openalex.org/C3634175","wikidata":"https://www.wikidata.org/wiki/Q2503280","display_name":"Lucas number","level":3,"score":0.5093844532966614},{"id":"https://openalex.org/C174757984","wikidata":"https://www.wikidata.org/wiki/Q4351325","display_name":"Pisano period","level":5,"score":0.49822092056274414},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42397454380989075},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3238458037376404},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21870800852775574},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.0695338249206543},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s179383092450068x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383092450068x","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2003164853","https://openalex.org/W2019073482","https://openalex.org/W2079415843","https://openalex.org/W2505714894","https://openalex.org/W2521594923","https://openalex.org/W2626654879","https://openalex.org/W2760048697","https://openalex.org/W2770219114","https://openalex.org/W2963498517","https://openalex.org/W2964137872"],"related_works":["https://openalex.org/W2064332477","https://openalex.org/W2164636225","https://openalex.org/W3164365663","https://openalex.org/W4210878695","https://openalex.org/W4385354131","https://openalex.org/W2015545432","https://openalex.org/W3011914617","https://openalex.org/W2612005655","https://openalex.org/W2810239400","https://openalex.org/W2056328718"],"abstract_inverted_index":{"In":[0],"this":[1,29,42],"paper,":[2],"we":[3],"present":[4],"a":[5,33,37,44,51],"new":[6,45],"encoding":[7],"and":[8,28,36,53],"decoding":[9],"method":[10,31],"based":[11],"on":[12],"the":[13,19],"recently":[14],"introduced":[15],"Minesweeper":[16],"Model.":[17],"Here,":[18],"main":[20],"idea":[21],"is":[22,47],"to":[23,49],"use":[24],"Fibonacci\u2013Lucas":[25],"tree":[26],"diagrams,":[27],"proposed":[30],"uses":[32],"public":[34],"key":[35],"private":[38],"key.":[39],"To":[40],"test":[41],"method,":[43],"algorithm":[46],"constructed":[48],"enable":[50],"faster":[52],"more":[54],"accurate":[55],"control.":[56]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
