{"id":"https://openalex.org/W4415421250","doi":"https://doi.org/10.3390/a18110673","title":"Algorithms for Two Types of Topological Indices","display_name":"Algorithms for Two Types of Topological Indices","publication_year":2025,"publication_date":"2025-10-22","ids":{"openalex":"https://openalex.org/W4415421250","doi":"https://doi.org/10.3390/a18110673"},"language":"en","primary_location":{"id":"doi:10.3390/a18110673","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a18110673","pdf_url":null,"source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/a18110673","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Fengqin Deng","orcid":null},"institutions":[{"id":"https://openalex.org/I116265982","display_name":"Qinghai University","ror":"https://ror.org/05h33bt13","country_code":"CN","type":"education","lineage":["https://openalex.org/I116265982"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fengqin Deng","raw_affiliation_strings":["School of Mathematics and Statistics, Qinghai Minzu University, Xining 810007, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Qinghai Minzu University, Xining 810007, China","institution_ids":["https://openalex.org/I116265982"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034560014","display_name":"Tingzeng Wu","orcid":"https://orcid.org/0000-0003-2488-9775"},"institutions":[{"id":"https://openalex.org/I116265982","display_name":"Qinghai University","ror":"https://ror.org/05h33bt13","country_code":"CN","type":"education","lineage":["https://openalex.org/I116265982"]},{"id":"https://openalex.org/I4210122330","display_name":"Qinghai New Energy (China)","ror":"https://ror.org/0311vkn02","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210122330"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tingzeng Wu","raw_affiliation_strings":["Qinghai Institute of Applied Mathematics, Xining 810007, China","School of Mathematics and Statistics, Qinghai Minzu University, Xining 810007, China"],"affiliations":[{"raw_affiliation_string":"Qinghai Institute of Applied Mathematics, Xining 810007, China","institution_ids":["https://openalex.org/I116265982","https://openalex.org/I4210122330"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Qinghai Minzu University, Xining 810007, China","institution_ids":["https://openalex.org/I116265982"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034560014"],"corresponding_institution_ids":["https://openalex.org/I116265982","https://openalex.org/I4210122330"],"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":0.35239448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"11","first_page":"673","last_page":"673"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9911999702453613,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9682000279426575,"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/stability","display_name":"Stability (learning theory)","score":0.5896000266075134},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.5371000170707703},{"id":"https://openalex.org/keywords/topological-index","display_name":"Topological index","score":0.4108000099658966},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4027000069618225}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5896000266075134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5490999817848206},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.5371000170707703},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5139999985694885},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4471000134944916},{"id":"https://openalex.org/C159867001","wikidata":"https://www.wikidata.org/wiki/Q904942","display_name":"Topological index","level":2,"score":0.4108000099658966},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4027000069618225},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3695000112056732},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36039999127388},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33489999175071716}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a18110673","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a18110673","pdf_url":null,"source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9e42b0b723284bc5871999beced02e82","is_oa":true,"landing_page_url":"https://doaj.org/article/9e42b0b723284bc5871999beced02e82","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":"Algorithms, Vol 18, Iss 11, p 673 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a18110673","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a18110673","pdf_url":null,"source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3795835246","display_name":null,"funder_award_id":"12261071","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"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":43,"referenced_works":["https://openalex.org/W1481641293","https://openalex.org/W1964312046","https://openalex.org/W1966551006","https://openalex.org/W1973356349","https://openalex.org/W1985689916","https://openalex.org/W1991063209","https://openalex.org/W1992402536","https://openalex.org/W1993024603","https://openalex.org/W2000462523","https://openalex.org/W2006912660","https://openalex.org/W2009011443","https://openalex.org/W2010928128","https://openalex.org/W2011633980","https://openalex.org/W2011994372","https://openalex.org/W2026737684","https://openalex.org/W2041985803","https://openalex.org/W2046312731","https://openalex.org/W2071169144","https://openalex.org/W2084861512","https://openalex.org/W2101262950","https://openalex.org/W2136128194","https://openalex.org/W2161611531","https://openalex.org/W2163274724","https://openalex.org/W2199650251","https://openalex.org/W2246042933","https://openalex.org/W2329714975","https://openalex.org/W2795112240","https://openalex.org/W2805879242","https://openalex.org/W2912271489","https://openalex.org/W2946032028","https://openalex.org/W2962847484","https://openalex.org/W2989577854","https://openalex.org/W3111910603","https://openalex.org/W3120474475","https://openalex.org/W3134753616","https://openalex.org/W3144898163","https://openalex.org/W3156950024","https://openalex.org/W4243094416","https://openalex.org/W4243285511","https://openalex.org/W4250347595","https://openalex.org/W4254702493","https://openalex.org/W4286374099","https://openalex.org/W4392376281"],"related_works":[],"abstract_inverted_index":{"Topological":[0],"indices":[1,28],"are":[2,25,30],"closely":[3],"related":[4],"to":[5,57],"the":[6,13,43,59,77],"stability":[7],"and":[8,22,46,62],"physical":[9],"properties":[10],"(such":[11],"as":[12],"boiling":[14],"point)":[15],"of":[16,65,79],"chemical":[17],"molecules.":[18],"The":[19],"permanental":[20,44,60],"sum":[21,45,61],"Hosoya":[23,47,63],"index":[24,64],"two":[26,55],"topological":[27],"that":[29],"strongly":[31],"associated":[32],"with":[33,67],"molecular":[34],"structure.":[35],"In":[36],"this":[37],"paper,":[38],"we":[39,52],"present":[40],"algorithms":[41,56],"for":[42,76],"index.":[48],"As":[49],"an":[50],"application,":[51],"employ":[53],"these":[54],"calculate":[58],"(3,6)-fullerene":[66],"n(4\u2264n\u226444)":[68],"vertices.":[69],"These":[70],"results":[71],"provide":[72],"a":[73],"mathematical":[74],"reference":[75],"synthesis":[78],"small":[80],"(3,6)-fullerenes.":[81]},"counts_by_year":[],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-24T00:00:00"}