{"id":"https://openalex.org/W2035211022","doi":"https://doi.org/10.1021/ci970059y","title":"Algebraic Connections between Topological Indices","display_name":"Algebraic Connections between Topological Indices","publication_year":1998,"publication_date":"1998-01-19","ids":{"openalex":"https://openalex.org/W2035211022","doi":"https://doi.org/10.1021/ci970059y","mag":"2035211022"},"language":"en","primary_location":{"id":"doi:10.1021/ci970059y","is_oa":false,"landing_page_url":"https://doi.org/10.1021/ci970059y","pdf_url":null,"source":{"id":"https://openalex.org/S171559003","display_name":"Journal of Chemical Information and Computer Sciences","issn_l":"0095-2338","issn":["0095-2338","1520-5142"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320006","host_organization_name":"American Chemical Society","host_organization_lineage":["https://openalex.org/P4310320006"],"host_organization_lineage_names":["American Chemical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Chemical Information and Computer Sciences","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/A5022563444","display_name":"Onn Chan","orcid":null},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Onn Chan","raw_affiliation_strings":["Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 119260, Republic of Singapore, Faculty of Science, University of Kragujevac, P.O. Box 60, YU-34000 Kragujevac, Yugoslavia, and Department of Mathematics and Computer Science, California State University, Hayward, California 94542"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 119260, Republic of Singapore, Faculty of Science, University of Kragujevac, P.O. Box 60, YU-34000 Kragujevac, Yugoslavia, and Department of Mathematics and Computer Science, California State University, Hayward, California 94542","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072814838","display_name":"\u0130van Gutman","orcid":"https://orcid.org/0000-0001-9681-1550"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Ivan Gutman","raw_affiliation_strings":["Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 119260, Republic of Singapore, Faculty of Science, University of Kragujevac, P.O. Box 60, YU-34000 Kragujevac, Yugoslavia, and Department of Mathematics and Computer Science, California State University, Hayward, California 94542"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 119260, Republic of Singapore, Faculty of Science, University of Kragujevac, P.O. Box 60, YU-34000 Kragujevac, Yugoslavia, and Department of Mathematics and Computer Science, California State University, Hayward, California 94542","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082461750","display_name":"Tao-Kai Lam","orcid":null},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Tao-Kai Lam","raw_affiliation_strings":["Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 119260, Republic of Singapore, Faculty of Science, University of Kragujevac, P.O. Box 60, YU-34000 Kragujevac, Yugoslavia, and Department of Mathematics and Computer Science, California State University, Hayward, California 94542"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 119260, Republic of Singapore, Faculty of Science, University of Kragujevac, P.O. Box 60, YU-34000 Kragujevac, Yugoslavia, and Department of Mathematics and Computer Science, California State University, Hayward, California 94542","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075558471","display_name":"Russell Merris","orcid":null},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Russell Merris","raw_affiliation_strings":["Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 119260, Republic of Singapore, Faculty of Science, University of Kragujevac, P.O. Box 60, YU-34000 Kragujevac, Yugoslavia, and Department of Mathematics and Computer Science, California State University, Hayward, California 94542"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 119260, Republic of Singapore, Faculty of Science, University of Kragujevac, P.O. Box 60, YU-34000 Kragujevac, Yugoslavia, and Department of Mathematics and Computer Science, California State University, Hayward, California 94542","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":3.1624,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.91795562,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"38","issue":"1","first_page":"62","last_page":"65"},"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/T10211","display_name":"Computational Drug Discovery Methods","score":0.9975000023841858,"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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/wiener-index","display_name":"Wiener index","score":0.8657786250114441},{"id":"https://openalex.org/keywords/topological-index","display_name":"Topological index","score":0.8089890480041504},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6355926990509033},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6063379645347595},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5497345924377441},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.5121212005615234},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49628716707229614},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4825800955295563},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4448704719543457},{"id":"https://openalex.org/keywords/simple-graph","display_name":"Simple graph","score":0.4354557991027832},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.43340808153152466},{"id":"https://openalex.org/keywords/molecular-graph","display_name":"Molecular graph","score":0.4292013347148895},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4176778197288513},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3569725453853607},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.089240163564682},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0721670389175415},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0585956871509552}],"concepts":[{"id":"https://openalex.org/C16640446","wikidata":"https://www.wikidata.org/wiki/Q909065","display_name":"Wiener index","level":3,"score":0.8657786250114441},{"id":"https://openalex.org/C159867001","wikidata":"https://www.wikidata.org/wiki/Q904942","display_name":"Topological index","level":2,"score":0.8089890480041504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6355926990509033},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6063379645347595},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5497345924377441},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.5121212005615234},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49628716707229614},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4825800955295563},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4448704719543457},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.4354557991027832},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.43340808153152466},{"id":"https://openalex.org/C2780022179","wikidata":"https://www.wikidata.org/wiki/Q1986794","display_name":"Molecular graph","level":3,"score":0.4292013347148895},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4176778197288513},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3569725453853607},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.089240163564682},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0721670389175415},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0585956871509552},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1021/ci970059y","is_oa":false,"landing_page_url":"https://doi.org/10.1021/ci970059y","pdf_url":null,"source":{"id":"https://openalex.org/S171559003","display_name":"Journal of Chemical Information and Computer Sciences","issn_l":"0095-2338","issn":["0095-2338","1520-5142"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320006","host_organization_name":"American Chemical Society","host_organization_lineage":["https://openalex.org/P4310320006"],"host_organization_lineage_names":["American Chemical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Chemical Information and Computer Sciences","raw_type":"journal-article"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/102799","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/102799","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W218783819","https://openalex.org/W1488799823","https://openalex.org/W1980956598","https://openalex.org/W1989042465","https://openalex.org/W2000628228","https://openalex.org/W2000802013","https://openalex.org/W2021229217","https://openalex.org/W2049463720","https://openalex.org/W2051980162","https://openalex.org/W2060907307","https://openalex.org/W2317784262","https://openalex.org/W2409065277","https://openalex.org/W3004773996","https://openalex.org/W4213442697"],"related_works":["https://openalex.org/W2181887477","https://openalex.org/W1530753320","https://openalex.org/W2186351816","https://openalex.org/W2266169121","https://openalex.org/W2470410011","https://openalex.org/W187961928","https://openalex.org/W2187991827","https://openalex.org/W2183177583","https://openalex.org/W2337701229","https://openalex.org/W2995191666"],"abstract_inverted_index":{"A":[0],"relation":[1],"has":[2],"been":[3],"recently":[4],"established":[5],"between":[6,52],"the":[7,15,19,39,71,80],"Wiener":[8],"number":[9],"W":[10,53],"and":[11,54,74,79],"an":[12],"immanant":[13],"of":[14,18,41,84],"Laplacian":[16],"matrix":[17],"molecular":[20],"graph":[21],"[Chan,":[22],"O.;":[23],"Lam,":[24],"T.":[25],"K.;":[26],"Merris,":[27],"R.":[28],"J.":[29],"Chem.":[30],"Inf.":[31],"Comput.":[32],"Sci":[33],".":[34],"1997,":[35],"37,":[36],"762\u2212765].":[37],"On":[38],"basis":[40],"this":[42],"result":[43],"we":[44],"now":[45],"show":[46],"that":[47],"there":[48],"exist":[49],"algebraic":[50],"connections":[51],"certain":[55],"molecular-graph-based":[56],"structure":[57],"descriptors":[58],"which,":[59],"until":[60],"now,":[61],"were":[62],"believed":[63],"not":[64],"to":[65,68],"be":[66],"related":[67],"W,":[69],"namely":[70],"Hosoya":[72],"index":[73,83],"quantities":[75],"derived":[76],"from":[77],"it":[78],"simple":[81],"topological":[82],"Narumi.":[85]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}