{"id":"https://openalex.org/W4223646353","doi":"https://doi.org/10.3390/sym14040781","title":"A Novel 2D Clustering Algorithm Based on Recursive Topological Data Structure","display_name":"A Novel 2D Clustering Algorithm Based on Recursive Topological Data Structure","publication_year":2022,"publication_date":"2022-04-09","ids":{"openalex":"https://openalex.org/W4223646353","doi":"https://doi.org/10.3390/sym14040781"},"language":"en","primary_location":{"id":"doi:10.3390/sym14040781","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14040781","pdf_url":"https://www.mdpi.com/2073-8994/14/4/781/pdf?version=1649649996","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/4/781/pdf?version=1649649996","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047613353","display_name":"Ismael Osuna-Gal\u00e1n","orcid":"https://orcid.org/0000-0002-3127-7489"},"institutions":[{"id":"https://openalex.org/I4210147794","display_name":"Universidad Polit\u00e9cnica de Chiapas","ror":"https://ror.org/04ena6v85","country_code":"MX","type":"education","lineage":["https://openalex.org/I4210147794"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Ismael Osuna-Gal\u00e1n","raw_affiliation_strings":["Departamento de Electr\u00f3nica, Polytechnic University of Chiapas, Carretera Tuxtla Gutierrez-Portillo Zaragoza Km 21+500, Suchiapa 29150, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Electr\u00f3nica, Polytechnic University of Chiapas, Carretera Tuxtla Gutierrez-Portillo Zaragoza Km 21+500, Suchiapa 29150, Mexico","institution_ids":["https://openalex.org/I4210147794"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083458130","display_name":"Yolanda P\u00e9rez-Pimentel","orcid":"https://orcid.org/0000-0003-2223-6105"},"institutions":[{"id":"https://openalex.org/I4210147794","display_name":"Universidad Polit\u00e9cnica de Chiapas","ror":"https://ror.org/04ena6v85","country_code":"MX","type":"education","lineage":["https://openalex.org/I4210147794"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Yolanda P\u00e9rez-Pimentel","raw_affiliation_strings":["Departamento de Electr\u00f3nica, Polytechnic University of Chiapas, Carretera Tuxtla Gutierrez-Portillo Zaragoza Km 21+500, Suchiapa 29150, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Electr\u00f3nica, Polytechnic University of Chiapas, Carretera Tuxtla Gutierrez-Portillo Zaragoza Km 21+500, Suchiapa 29150, Mexico","institution_ids":["https://openalex.org/I4210147794"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072266639","display_name":"Carlos Avil\u00e9s\u2010Cruz","orcid":"https://orcid.org/0000-0002-2323-9335"},"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":true,"raw_author_name":"Carlos Aviles-Cruz","raw_affiliation_strings":["Departamento de Electr\u00f3nica, Universidad Aut\u00f3noma Metropolitana, Av. San Pablo 180 Col. Reynosa Tamaulipas, Ciudad de M\u00e9xico 02200, Mexico"],"raw_orcid":"https://orcid.org/0000-0002-2323-9335","affiliations":[{"raw_affiliation_string":"Departamento de Electr\u00f3nica, Universidad Aut\u00f3noma Metropolitana, Av. San Pablo 180 Col. Reynosa Tamaulipas, Ciudad de M\u00e9xico 02200, Mexico","institution_ids":["https://openalex.org/I200362191"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072266639"],"corresponding_institution_ids":["https://openalex.org/I200362191"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.2777,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6097695,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"14","issue":"4","first_page":"781","last_page":"781"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9965000152587891,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9965000152587891,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9922000169754028,"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/T13234","display_name":"advanced mathematical theories","score":0.9811000227928162,"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/cluster-analysis","display_name":"Cluster analysis","score":0.8075098991394043},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5048516392707825},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.473576158285141},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4675399661064148},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46730896830558777},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4659399092197418},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.4604421854019165},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.45045003294944763},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4365620017051697},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.41852331161499023},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.353818416595459},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19138610363006592},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10576203465461731},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08500444889068604}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8075098991394043},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5048516392707825},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.473576158285141},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4675399661064148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46730896830558777},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4659399092197418},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.4604421854019165},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.45045003294944763},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4365620017051697},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.41852331161499023},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.353818416595459},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19138610363006592},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10576203465461731},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08500444889068604},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym14040781","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14040781","pdf_url":"https://www.mdpi.com/2073-8994/14/4/781/pdf?version=1649649996","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:19cd5474986e4e79894ebb34b9309ed4","is_oa":true,"landing_page_url":"https://doaj.org/article/19cd5474986e4e79894ebb34b9309ed4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 14, Iss 4, p 781 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/4/781/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14040781","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14040781","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14040781","pdf_url":"https://www.mdpi.com/2073-8994/14/4/781/pdf?version=1649649996","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6100000143051147,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4223646353.pdf","grobid_xml":"https://content.openalex.org/works/W4223646353.grobid-xml"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W304893792","https://openalex.org/W1128809682","https://openalex.org/W1489593754","https://openalex.org/W1564142089","https://openalex.org/W2026892527","https://openalex.org/W2064610124","https://openalex.org/W2083438541","https://openalex.org/W2256361316","https://openalex.org/W2297788108","https://openalex.org/W2307746788","https://openalex.org/W2332285636","https://openalex.org/W2338183708","https://openalex.org/W2349932203","https://openalex.org/W2517503648","https://openalex.org/W2554484716","https://openalex.org/W2556533027","https://openalex.org/W2560185252","https://openalex.org/W2573916904","https://openalex.org/W2574523700","https://openalex.org/W2578851583","https://openalex.org/W2607336455","https://openalex.org/W2621613972","https://openalex.org/W2733539851","https://openalex.org/W2733722625","https://openalex.org/W2740633916","https://openalex.org/W2760710921","https://openalex.org/W2775300889","https://openalex.org/W2792375288","https://openalex.org/W2797653144","https://openalex.org/W2804795672","https://openalex.org/W2806999627","https://openalex.org/W2884586244","https://openalex.org/W2897098291","https://openalex.org/W2898790230","https://openalex.org/W2900404321","https://openalex.org/W2901602964","https://openalex.org/W2901747865","https://openalex.org/W2902181691","https://openalex.org/W2906257190","https://openalex.org/W2909565279","https://openalex.org/W2912232812","https://openalex.org/W2915005671","https://openalex.org/W2942959009","https://openalex.org/W2950577166","https://openalex.org/W2963659968","https://openalex.org/W2969866791","https://openalex.org/W2970602317","https://openalex.org/W2981875205","https://openalex.org/W2983751658","https://openalex.org/W3093303840","https://openalex.org/W3100987608","https://openalex.org/W3135435709","https://openalex.org/W3186916110","https://openalex.org/W3197886029","https://openalex.org/W3214559464","https://openalex.org/W4200101842","https://openalex.org/W4200146675","https://openalex.org/W4234680249","https://openalex.org/W4252229481","https://openalex.org/W4298123128","https://openalex.org/W6730107233"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W4321353415","https://openalex.org/W2745001401","https://openalex.org/W2130974462","https://openalex.org/W2028665553","https://openalex.org/W2086519370","https://openalex.org/W4246352526","https://openalex.org/W1482441085","https://openalex.org/W2966858528","https://openalex.org/W2151687600"],"abstract_inverted_index":{"In":[0],"the":[1,9,48,55,74,81,85,90,100,119,130,147,154,162,168,187],"field":[2],"of":[3,54,72,87,103,121,146,149,170,189],"data":[4,7,56],"science":[5],"and":[6,15,44,50,69,135,186],"mining,":[8],"problem":[10],"associated":[11],"with":[12],"clustering":[13,31,91,95],"features":[14],"determining":[16],"its":[17,190],"optimum":[18],"number":[19,86],"is":[20,97,116,159,175,181],"still":[21],"under":[22],"research":[23],"consideration.":[24],"This":[25],"paper":[26],"presents":[27],"a":[28,35,41,67,150,171,178],"new":[29,94,151,163,179],"2D":[30],"algorithm":[32],"based":[33,117],"on":[34,118,129,156,192],"mathematical":[36],"topological":[37,52],"theory":[38,96,185],"that":[39],"uses":[40],"pseudometric":[42],"space":[43],"takes":[45],"into":[46,61,111,140,153],"account":[47,62,141],"local":[49,136],"global":[51],"properties":[53],"to":[57],"be":[58],"clustered.":[59],"Taking":[60],"cluster":[63,155,180],"symmetry":[64],"property,":[65],"from":[66],"metric":[68],"mathematical-topological":[70,184],"point":[71],"view,":[73],"analysis":[75],"was":[76],"carried":[77],"out":[78],"only":[79],"in":[80,89],"positive":[82],"region,":[83],"reducing":[84],"calculations":[88],"process.":[92],"The":[93,113,144,183],"inspired":[98],"by":[99],"thermodynamics":[101],"principle":[102],"energy.":[104],"Thus,":[105],"both":[106,133],"topologies":[107,137],"are":[108,138,196],"recursively":[109],"taken":[110,139],"account.":[112],"proposed":[114],"model":[115],"interaction":[120],"particles":[122],"defined":[123],"through":[124],"measuring":[125],"homogeneous-energy":[126,157,169],"criterion.":[127],"Based":[128],"energy":[131],"concept,":[132],"general":[134],"for":[142],"clustering.":[143],"effect":[145],"integration":[148],"element":[152,164],"criterion":[158],"analyzed.":[160],"If":[161],"does":[165],"not":[166],"alter":[167],"group,":[172],"then":[173],"it":[174],"added;":[176],"otherwise,":[177],"created.":[182],"results":[188],"application":[191],"public":[193],"benchmark":[194],"datasets":[195],"presented.":[197]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
