{"id":"https://openalex.org/W4407992248","doi":"https://doi.org/10.3390/axioms14030175","title":"An Algorithm for Designing Circles in a Bubble Chart","display_name":"An Algorithm for Designing Circles in a Bubble Chart","publication_year":2025,"publication_date":"2025-02-27","ids":{"openalex":"https://openalex.org/W4407992248","doi":"https://doi.org/10.3390/axioms14030175"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14030175","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030175","pdf_url":"https://www.mdpi.com/2075-1680/14/3/175/pdf?version=1740659589","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/3/175/pdf?version=1740659589","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110283878","display_name":"Ching-Shoei Chiang","orcid":null},"institutions":[{"id":"https://openalex.org/I185940356","display_name":"Soochow University","ror":"https://ror.org/05kvm7n82","country_code":"TW","type":"education","lineage":["https://openalex.org/I185940356"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Ching-Shoei Chiang","raw_affiliation_strings":["Computer Science and Information Management, Soochow University, Taipei 100006, Taiwan"],"affiliations":[{"raw_affiliation_string":"Computer Science and Information Management, Soochow University, Taipei 100006, Taiwan","institution_ids":["https://openalex.org/I185940356"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002175399","display_name":"Hung-Chieh Li","orcid":null},"institutions":[{"id":"https://openalex.org/I185940356","display_name":"Soochow University","ror":"https://ror.org/05kvm7n82","country_code":"TW","type":"education","lineage":["https://openalex.org/I185940356"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Hung-Chieh Li","raw_affiliation_strings":["Computer Science and Information Management, Soochow University, Taipei 100006, Taiwan"],"affiliations":[{"raw_affiliation_string":"Computer Science and Information Management, Soochow University, Taipei 100006, Taiwan","institution_ids":["https://openalex.org/I185940356"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110283878"],"corresponding_institution_ids":["https://openalex.org/I185940356"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05243414,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"3","first_page":"175","last_page":"175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.6801999807357788,"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"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.6801999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chart","display_name":"Chart","score":0.6620229482650757},{"id":"https://openalex.org/keywords/bubble","display_name":"Bubble","score":0.6421530842781067},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5020945072174072},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4132035970687866},{"id":"https://openalex.org/keywords/engineering-drawing","display_name":"Engineering drawing","score":0.39477136731147766},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26588571071624756},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.23077771067619324},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10499390959739685},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.09332385659217834}],"concepts":[{"id":"https://openalex.org/C190812933","wikidata":"https://www.wikidata.org/wiki/Q28923","display_name":"Chart","level":2,"score":0.6620229482650757},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.6421530842781067},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5020945072174072},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4132035970687866},{"id":"https://openalex.org/C199639397","wikidata":"https://www.wikidata.org/wiki/Q1788588","display_name":"Engineering drawing","level":1,"score":0.39477136731147766},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26588571071624756},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.23077771067619324},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10499390959739685},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.09332385659217834}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14030175","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030175","pdf_url":"https://www.mdpi.com/2075-1680/14/3/175/pdf?version=1740659589","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:210522c0674446a7b8bee02b6705988d","is_oa":true,"landing_page_url":"https://doaj.org/article/210522c0674446a7b8bee02b6705988d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 3, p 175 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14030175","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030175","pdf_url":"https://www.mdpi.com/2075-1680/14/3/175/pdf?version=1740659589","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407992248.pdf"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W1975434639","https://openalex.org/W2000845118","https://openalex.org/W2055789678","https://openalex.org/W2056273964","https://openalex.org/W2061779282","https://openalex.org/W2063539633","https://openalex.org/W2064236037","https://openalex.org/W2070511479","https://openalex.org/W2187161511","https://openalex.org/W4401758160","https://openalex.org/W4402127602"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2072214669","https://openalex.org/W2928956957","https://openalex.org/W3137839740","https://openalex.org/W938380018","https://openalex.org/W2369700007","https://openalex.org/W3129210721","https://openalex.org/W2354156280"],"abstract_inverted_index":{"In":[0,34],"this":[1,98],"study,":[2],"we":[3,15],"investigated":[4],"circle":[5,20,32,48,63],"design":[6],"in":[7,55,70,86],"a":[8,18,28,46,110],"bubble":[9,12],"chart.":[10],"The":[11,59],"chart":[13],"that":[14,49],"designed":[16],"has":[17,74,91],"unit":[19],"at":[21],"the":[22,38,56,62,75,81,88,104],"center":[23],"and":[24,84,108],"is":[25,44,50,64,106],"surrounded":[26],"by":[27],"series":[29],"of":[30,41,61,78],"layered":[31],"rings.":[33],"order":[35],"to":[36,52],"add":[37],"next":[39],"layer":[40,73,90],"circles,":[42],"there":[43],"always":[45],"silhouette":[47],"tangential":[51],"all":[53],"circles":[54,79,92],"newest":[57],"layer.":[58],"extension":[60],"partitioned":[65],"into":[66],"two":[67],"classes:":[68],"one":[69],"which":[71,87],"each":[72],"same":[76,82],"number":[77],"with":[80,93],"radii,":[83],"another":[85],"new":[89],"different":[94],"radii.":[95],"We":[96],"solve":[97],"problem":[99,105],"geometrically":[100],"and/or":[101],"algebraically":[102],"if":[103],"simple":[107],"present":[109],"heuristic":[111],"algorithm":[112],"for":[113],"solving":[114],"more":[115],"complex":[116],"problems.":[117]},"counts_by_year":[],"updated_date":"2025-12-23T23:11:35.936235","created_date":"2025-10-10T00:00:00"}