{"id":"https://openalex.org/W2028757465","doi":"https://doi.org/10.1021/ci9700541","title":"An All-Path Version of the Wiener Index","display_name":"An All-Path Version of the Wiener Index","publication_year":1998,"publication_date":"1998-01-22","ids":{"openalex":"https://openalex.org/W2028757465","doi":"https://doi.org/10.1021/ci9700541","mag":"2028757465"},"language":"en","primary_location":{"id":"doi:10.1021/ci9700541","is_oa":false,"landing_page_url":"https://doi.org/10.1021/ci9700541","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/A5111415372","display_name":"Istv\u00e1n Lukovits","orcid":null},"institutions":[{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Istv\u00e1n Lukovits","raw_affiliation_strings":["Central Research Institute of Chemistry, Hungarian Academy of Sciences, H-1525 Budapest, P.O. Box 17, Hungary","Central Research Institute of Chemistry, Hungarian Academy of Sciences , H-1525 Budapest, P.O. Box 17, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Central Research Institute of Chemistry, Hungarian Academy of Sciences, H-1525 Budapest, P.O. Box 17, Hungary","institution_ids":["https://openalex.org/I7597260"]},{"raw_affiliation_string":"Central Research Institute of Chemistry, Hungarian Academy of Sciences , H-1525 Budapest, P.O. Box 17, Hungary","institution_ids":["https://openalex.org/I7597260"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111415372"],"corresponding_institution_ids":["https://openalex.org/I7597260"],"apc_list":null,"apc_paid":null,"fwci":0.8856,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.7032872,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"38","issue":"2","first_page":"125","last_page":"129"},"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/T11298","display_name":"Synthesis and Properties of Aromatic Compounds","score":0.9775000214576721,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10211","display_name":"Computational Drug Discovery Methods","score":0.9695000052452087,"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":0.8603967428207397},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7105113863945007},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.6802277565002441},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6633857488632202},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.6308237314224243},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.567484438419342},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5471712946891785},{"id":"https://openalex.org/keywords/topological-index","display_name":"Topological index","score":0.49616631865501404},{"id":"https://openalex.org/keywords/contrast","display_name":"Contrast (vision)","score":0.4424179494380951},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4200500547885895},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4186038374900818},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1777506172657013},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13209742307662964}],"concepts":[{"id":"https://openalex.org/C16640446","wikidata":"https://www.wikidata.org/wiki/Q909065","display_name":"Wiener index","level":3,"score":0.8603967428207397},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7105113863945007},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.6802277565002441},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6633857488632202},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.6308237314224243},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.567484438419342},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5471712946891785},{"id":"https://openalex.org/C159867001","wikidata":"https://www.wikidata.org/wiki/Q904942","display_name":"Topological index","level":2,"score":0.49616631865501404},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.4424179494380951},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4200500547885895},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4186038374900818},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1777506172657013},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13209742307662964},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1021/ci9700541","is_oa":false,"landing_page_url":"https://doi.org/10.1021/ci9700541","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.699999988079071,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1998035585","https://openalex.org/W2000729003","https://openalex.org/W2002147588","https://openalex.org/W2002424150","https://openalex.org/W2004072180","https://openalex.org/W2029236883","https://openalex.org/W2031217417","https://openalex.org/W2034353279","https://openalex.org/W2049463720","https://openalex.org/W2062613486","https://openalex.org/W2065854198","https://openalex.org/W2072337803","https://openalex.org/W2076274021","https://openalex.org/W2081826185","https://openalex.org/W2090417881","https://openalex.org/W2154117231","https://openalex.org/W2322008283","https://openalex.org/W2323982141","https://openalex.org/W2409065277","https://openalex.org/W2729689113","https://openalex.org/W3010454804","https://openalex.org/W4247782380"],"related_works":["https://openalex.org/W1992064123","https://openalex.org/W1530753320","https://openalex.org/W2337701229","https://openalex.org/W2947875569","https://openalex.org/W2329275106","https://openalex.org/W2995191666","https://openalex.org/W2389441820","https://openalex.org/W1796630930","https://openalex.org/W2289583476","https://openalex.org/W2181887477"],"abstract_inverted_index":{"The":[0],"Wiener":[1],"index":[2],"W":[3,43,77,125],"(":[4,55,86,94,126,130,135],"G":[5,87,95,127,131,136],")":[6],"has":[7],"originally":[8],"been":[9,32],"defined":[10],"for":[11],"acyclic":[12],"graphs.":[13],"Therefore":[14],"its":[15,47,79],"extension":[16],"to":[17,52],"cycle-containing":[18,120],"structures":[19,121],"is":[20,50],"not":[21],"unambiguous;":[22],"there":[23],"are":[24,97],"several":[25],"possibilities,":[26],"some":[27],"of":[28,42,66,76,99,106],"which":[29],"have":[30],"already":[31],"realized.":[33],"In":[34,71],"this":[35],"paper,":[36],"we":[37],"proposed":[38],"an":[39],"\u201call-path\u201d":[40],"version":[41,117],"and":[44,78,89,108],"showed":[45],"that":[46,114],"maximal":[48,74],"value":[49],"equal":[51],"N":[53,56,59,62],"2":[54],"\u2212":[57],"1)2":[58],"-4,":[60],"where":[61],"denotes":[63],"the":[64,73,82,90,115],"number":[65],"vertices":[67],"in":[68,104],"a":[69],"graph.":[70],"contrast,":[72],"values":[75],"close":[80],"analogues,":[81],"detour":[83],"index,":[84,92],"w":[85,129],"),":[88,96,128,132],"Szeged":[91],"Sz":[93,134],"polynomials":[98],"order":[100],"4":[101],"or":[102,133],"less":[103],"terms":[105],"N,":[107],"therefore,":[109],"it":[110],"may":[111],"be":[112],"expected":[113],"new":[116],"will":[118],"discriminate":[119],"more":[122],"efficiently":[123],"than":[124],").":[137]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}
