{"id":"https://openalex.org/W2186800609","doi":null,"title":"Algorithm sa nd Extre mal Problem on Wiener Polarity Index","display_name":"Algorithm sa nd Extre mal Problem on Wiener Polarity Index","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2186800609","mag":"2186800609"},"language":"en","primary_location":{"id":"mag:2186800609","doi":null,"is_oa":false,"landing_page_url":"http://match.pmf.kg.ac.rs/electronic_versions/Match62/n1/match62n1_235-244.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5070945154","display_name":"Wenxue Du","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wenxue Du","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108139512","display_name":"Xueliang Li","orcid":null,"observed_orcids":[]},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueliang Li","raw_affiliation_strings":["Nankai University;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nankai University;","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062762366","display_name":"Yongtang Shi","orcid":"https://orcid.org/0000-0001-9406-7967","observed_orcids":["https://orcid.org/0000-0001-9406-7967"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yongtang Shi","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-9406-7967","affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.8589,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.95190275,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.00019999999494757503,"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/T12292","display_name":"Graph Theory and Algorithms","score":9.999999747378752e-05,"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/extremal-graph-theory","display_name":"extremal graph theory","score":0.7710000276565552},{"id":"https://openalex.org/keywords/trees","display_name":"trees","score":0.7519999742507935},{"id":"https://openalex.org/keywords/linear-time-algorithms","display_name":"linear-time algorithms","score":0.8069999814033508},{"id":"https://openalex.org/keywords/graph-invariants","display_name":"graph invariants","score":0.4830000102519989},{"id":"https://openalex.org/keywords/connected-graphs","display_name":"connected graphs","score":0.39800000190734863}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7003052830696106},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.6605789661407471},{"id":"https://openalex.org/C16640446","wikidata":"https://www.wikidata.org/wiki/Q909065","display_name":"Wiener index","level":3,"score":0.6537398099899292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6233582496643066},{"id":"https://openalex.org/C2777361361","wikidata":"https://www.wikidata.org/wiki/Q1112585","display_name":"Polarity (international relations)","level":3,"score":0.5465226173400879},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.5153943300247192},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5107643604278564},{"id":"https://openalex.org/C159867001","wikidata":"https://www.wikidata.org/wiki/Q904942","display_name":"Topological index","level":2,"score":0.4417993128299713},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3490146994590759},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.230852872133255},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07493093609809875},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C1491633281","wikidata":"https://www.wikidata.org/wiki/Q7868","display_name":"Cell","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2186800609","doi":null,"is_oa":false,"landing_page_url":"http://match.pmf.kg.ac.rs/electronic_versions/Match62/n1/match62n1_235-244.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W74903757","https://openalex.org/W1979740015","https://openalex.org/W1984732727","https://openalex.org/W2020345345","https://openalex.org/W2065854198","https://openalex.org/W2077737311","https://openalex.org/W2093839266","https://openalex.org/W2126991391","https://openalex.org/W2145000950","https://openalex.org/W2318794083","https://openalex.org/W2729689113","https://openalex.org/W2740816071","https://openalex.org/W2890747390","https://openalex.org/W2947000318"],"related_works":["https://openalex.org/W2392310334","https://openalex.org/W1981099328","https://openalex.org/W2063360945","https://openalex.org/W2556731292","https://openalex.org/W2789601848","https://openalex.org/W2406492498","https://openalex.org/W2950873455","https://openalex.org/W2652250685","https://openalex.org/W2270603402","https://openalex.org/W7217480707"],"abstract_inverted_index":{"The":[0],"Wiener":[1],"polarity":[2],"index":[3,39,57,67,85],"WP":[4,86],"(G)":[5,87],"of":[6,18,21,25,58,71],"a":[7,49],"graph":[8],"G":[9,26],"=(":[10],"V,":[11],"E":[12],")i":[13],"s":[14],"the":[15,38,44,56,63,66,75,84],"nu":[16],"mber":[17],"unordered":[19],"pairs":[20],"vertices":[22],"{u,":[23],"v}":[24],"such":[27],"that":[28],"dG(u,":[29],"v":[30],")=":[31],"3.":[32],"In":[33,43,74],"this":[34],"paper,":[35],"we":[36,47,78],"consider":[37],"for":[40,54,88],"connected":[41],"graphs.":[42],"first":[45],"part,":[46,77],"describe":[48],"linear":[50],"time":[51],"algorithm":[52,81],"APT":[53],"computing":[55],"trees,":[59],"and":[60],"then":[61],"characterize":[62],"trees":[64,70],"maximizing":[65],"among":[68],"all":[69],"given":[72],"order.":[73],"second":[76],"present":[79],"an":[80],"which":[82],"computes":[83],"any":[89]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}
