{"id":"https://openalex.org/W2943902256","doi":"https://doi.org/10.3390/e21050482","title":"On Properties of Distance-Based Entropies on Fullerene Graphs","display_name":"On Properties of Distance-Based Entropies on Fullerene Graphs","publication_year":2019,"publication_date":"2019-05-10","ids":{"openalex":"https://openalex.org/W2943902256","doi":"https://doi.org/10.3390/e21050482","mag":"2943902256","pmid":"https://pubmed.ncbi.nlm.nih.gov/33267196"},"language":"en","primary_location":{"id":"doi:10.3390/e21050482","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21050482","pdf_url":"https://www.mdpi.com/1099-4300/21/5/482/pdf?version=1557737575","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/21/5/482/pdf?version=1557737575","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000899537","display_name":"Modjtaba Ghorbani","orcid":"https://orcid.org/0000-0001-5623-9932"},"institutions":[{"id":"https://openalex.org/I83123760","display_name":"Shahid Rajaee Teacher Training University","ror":"https://ror.org/02nkz4493","country_code":"IR","type":"education","lineage":["https://openalex.org/I83123760"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Modjtaba Ghorbani","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran 6785-136, Iran"],"raw_orcid":"https://orcid.org/0000-0001-5623-9932","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran 6785-136, Iran","institution_ids":["https://openalex.org/I83123760"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044244385","display_name":"Matthias Dehmer","orcid":"https://orcid.org/0000-0001-8454-5857"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]},{"id":"https://openalex.org/I4210114246","display_name":"UMIT - Private Universit\u00e4t f\u00fcr Gesundheitswissenschaften, Medizinische Informatik und Technik","ror":"https://ror.org/02d0kps43","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210114246"]},{"id":"https://openalex.org/I4210136249","display_name":"University of Applied Sciences Upper Austria","ror":"https://ror.org/03jqp6d56","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210136249"]}],"countries":["AT","CN"],"is_corresponding":false,"raw_author_name":"Matthias Dehmer","raw_affiliation_strings":["College of Artificial Intelligence, Nankai University, Tianjin 300350, China","Department of Biomedical Computer Science and Mechatronics, UMIT, 6060 Hall in Tyrol, Austria","Steyr School of Management, University of Applied Sciences Upper Austria, 4400 Steyr Campus, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nankai University, Tianjin 300350, China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"Department of Biomedical Computer Science and Mechatronics, UMIT, 6060 Hall in Tyrol, Austria","institution_ids":["https://openalex.org/I4210114246"]},{"raw_affiliation_string":"Steyr School of Management, University of Applied Sciences Upper Austria, 4400 Steyr Campus, Austria","institution_ids":["https://openalex.org/I4210136249"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054404322","display_name":"Mina Rajabi-Parsa","orcid":null},"institutions":[{"id":"https://openalex.org/I83123760","display_name":"Shahid Rajaee Teacher Training University","ror":"https://ror.org/02nkz4493","country_code":"IR","type":"education","lineage":["https://openalex.org/I83123760"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mina Rajabi-Parsa","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran 6785-136, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran 6785-136, Iran","institution_ids":["https://openalex.org/I83123760"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065460022","display_name":"Abbe Mowshowitz","orcid":null},"institutions":[{"id":"https://openalex.org/I125687163","display_name":"City College of New York","ror":"https://ror.org/00wmhkr98","country_code":"US","type":"education","lineage":["https://openalex.org/I125687163"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abbe Mowshowitz","raw_affiliation_strings":["Department of Computer Science, The City College of New York (CUNY), New York, NY 10031, USA"],"raw_orcid":"https://orcid.org/0000-0002-8254-505X","affiliations":[{"raw_affiliation_string":"Department of Computer Science, The City College of New York (CUNY), New York, NY 10031, USA","institution_ids":["https://openalex.org/I125687163"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057625030","display_name":"Frank Emmert\u2010Streib","orcid":"https://orcid.org/0000-0003-0745-5641"},"institutions":[{"id":"https://openalex.org/I166825849","display_name":"Tampere University","ror":"https://ror.org/033003e23","country_code":"FI","type":"education","lineage":["https://openalex.org/I166825849"]},{"id":"https://openalex.org/I4210133110","display_name":"Tampere University","ror":null,"country_code":"FI","type":null,"lineage":["https://openalex.org/I4210133110"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Frank Emmert-Streib","raw_affiliation_strings":["Institute of Biosciences and Medical Technology, 33520 Tampere, Finland","Predictive Medicine and Data Analytics Lab, Department of Signal Processing, Tampere University of Technology, 33720 Tampere, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Biosciences and Medical Technology, 33520 Tampere, Finland","institution_ids":[]},{"raw_affiliation_string":"Predictive Medicine and Data Analytics Lab, Department of Signal Processing, Tampere University of Technology, 33720 Tampere, Finland","institution_ids":["https://openalex.org/I166825849","https://openalex.org/I4210133110"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5000899537"],"corresponding_institution_ids":["https://openalex.org/I83123760"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":1685,"currency":"EUR","value_usd":1817},"fwci":4.5771,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.95397718,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"21","issue":"5","first_page":"482","last_page":"482"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998000264167786,"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":0.9998000264167786,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9541000127792358,"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/T10211","display_name":"Computational Drug Discovery Methods","score":0.9474999904632568,"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/combinatorics","display_name":"Combinatorics","score":0.5944323539733887},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5739069581031799},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5335662364959717},{"id":"https://openalex.org/keywords/fullerene","display_name":"Fullerene","score":0.5064252614974976},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33776113390922546},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17918765544891357},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.14903602004051208}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5944323539733887},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5739069581031799},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5335662364959717},{"id":"https://openalex.org/C162862793","wikidata":"https://www.wikidata.org/wiki/Q178026","display_name":"Fullerene","level":2,"score":0.5064252614974976},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33776113390922546},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17918765544891357},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.14903602004051208},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.3390/e21050482","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21050482","pdf_url":"https://www.mdpi.com/1099-4300/21/5/482/pdf?version=1557737575","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},{"id":"pmid:33267196","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33267196","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:academicworks.cuny.edu:cc_pubs-1975","is_oa":true,"landing_page_url":"https://academicworks.cuny.edu/cc_pubs/942","pdf_url":null,"source":{"id":"https://openalex.org/S4377196304","display_name":"CUNY Academic Works (City University of New York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174216632","host_organization_name":"City University of New York","host_organization_lineage":["https://openalex.org/I174216632"],"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":"Publications and Research","raw_type":"article"},{"id":"pmh:oai:doaj.org/article:31f6f221f4484cd094a676803b339643","is_oa":true,"landing_page_url":"https://doaj.org/article/31f6f221f4484cd094a676803b339643","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":"Entropy, Vol 21, Iss 5, p 482 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/21/5/482/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e21050482","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":"Entropy","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7514971","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7514971","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:trepo.tuni.fi:10024/215228","is_oa":true,"landing_page_url":"https://trepo.tuni.fi/handle/10024/215228","pdf_url":null,"source":{"id":"https://openalex.org/S7407055260","display_name":"Trepo - Institutional Repository of Tampere University","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"}],"best_oa_location":{"id":"doi:10.3390/e21050482","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21050482","pdf_url":"https://www.mdpi.com/1099-4300/21/5/482/pdf?version=1557737575","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W11476871","https://openalex.org/W172995788","https://openalex.org/W871532349","https://openalex.org/W1545231783","https://openalex.org/W1578352082","https://openalex.org/W1925452892","https://openalex.org/W1992705083","https://openalex.org/W1996223396","https://openalex.org/W1996472851","https://openalex.org/W1999940560","https://openalex.org/W2001437210","https://openalex.org/W2016154648","https://openalex.org/W2016178261","https://openalex.org/W2019486877","https://openalex.org/W2030400159","https://openalex.org/W2036487775","https://openalex.org/W2036572909","https://openalex.org/W2047451085","https://openalex.org/W2053600926","https://openalex.org/W2054181219","https://openalex.org/W2076171367","https://openalex.org/W2091613287","https://openalex.org/W2095298545","https://openalex.org/W2131467982","https://openalex.org/W2186179725","https://openalex.org/W2293416209","https://openalex.org/W2321047733","https://openalex.org/W2327033609","https://openalex.org/W2331229417","https://openalex.org/W2335025797","https://openalex.org/W2471058480","https://openalex.org/W2488315084","https://openalex.org/W2741207504","https://openalex.org/W2761730841","https://openalex.org/W2783320616","https://openalex.org/W2800854883","https://openalex.org/W2800955327","https://openalex.org/W2897982614","https://openalex.org/W2913595436","https://openalex.org/W2943902256","https://openalex.org/W2993383518","https://openalex.org/W4213214460","https://openalex.org/W4285719527","https://openalex.org/W6640158446","https://openalex.org/W6673460119","https://openalex.org/W6686802963","https://openalex.org/W6742069734","https://openalex.org/W6751086137"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2319609032","https://openalex.org/W1997512083","https://openalex.org/W2107134318","https://openalex.org/W2106686636","https://openalex.org/W2944702413","https://openalex.org/W2068568560","https://openalex.org/W2028439467","https://openalex.org/W2348411887","https://openalex.org/W2792522960"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,106],"study":[4],"several":[5],"distance-based":[6],"entropy":[7,29,42,53],"measures":[8,62,88],"on":[9,63,113],"fullerene":[10,68,115],"graphs.":[11,116],"These":[12],"include":[13],"the":[14,31,40,49,101,108,114],"topological":[15],"information":[16,52],"content":[17],"of":[18,67,103],"a":[19,22,27],"graph":[20,97],"I":[21,33],"(":[23,36,44],"G":[24,37,45],")":[25,38,46],",":[26,39],"degree-based":[28],"measure,":[30],"eccentric-entropy":[32],"f":[34],"\u03c3":[35],"Hosoya":[41],"H":[43,54],"and,":[47],"finally,":[48],"radial":[50],"centric":[51],"e":[55],"c":[56,57],".":[58,83],"We":[59,84],"compare":[60],"these":[61,87,104],"two":[64],"infinite":[65],"classes":[66],"graphs":[69],"denoted":[70],"by":[71],"A":[72],"12":[73,79],"n":[74,80],"+":[75,81],"4":[76],"and":[77,94],"B":[78],"6":[82],"have":[85],"chosen":[86],"as":[89],"they":[90],"are":[91],"easily":[92],"computable":[93],"capture":[95],"meaningful":[96],"properties.":[98],"To":[99],"demonstrate":[100],"utility":[102],"measures,":[105],"investigate":[107],"Pearson":[109],"correlation":[110],"between":[111],"them":[112]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}