{"id":"https://openalex.org/W3120285861","doi":"https://doi.org/10.1007/s12190-020-01483-9","title":"Extremal phenylene chains with respect to detour indices","display_name":"Extremal phenylene chains with respect to detour indices","publication_year":2021,"publication_date":"2021-01-08","ids":{"openalex":"https://openalex.org/W3120285861","doi":"https://doi.org/10.1007/s12190-020-01483-9","mag":"3120285861"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-020-01483-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-020-01483-9","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","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/A5057254825","display_name":"Hechao Liu","orcid":"https://orcid.org/0000-0001-7606-4842"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hechao Liu","raw_affiliation_strings":["School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, People\u2019s Republic of China","School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-7606-4842","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, People\u2019s Republic of China","institution_ids":["https://openalex.org/I187400657"]},{"raw_affiliation_string":"School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, People's Republic of China","institution_ids":["https://openalex.org/I187400657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020014508","display_name":"Xiaona Fang","orcid":"https://orcid.org/0000-0001-9927-8579"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaona Fang","raw_affiliation_strings":["School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, People\u2019s Republic of China","School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, People\u2019s Republic of China","institution_ids":["https://openalex.org/I187400657"]},{"raw_affiliation_string":"School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, People's Republic of China","institution_ids":["https://openalex.org/I187400657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057254825"],"corresponding_institution_ids":["https://openalex.org/I187400657"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2661,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76897561,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"67","issue":"1-2","first_page":"301","last_page":"316"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9988999962806702,"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":0.9988999962806702,"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":0.995199978351593,"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/T11298","display_name":"Synthesis and Properties of Aromatic Compounds","score":0.96670001745224,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.8575068712234497},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.7279574871063232},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.727678656578064},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7046279907226562},{"id":"https://openalex.org/keywords/hexagonal-crystal-system","display_name":"Hexagonal crystal system","score":0.6246748566627502},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5996488332748413},{"id":"https://openalex.org/keywords/phenylene","display_name":"Phenylene","score":0.5639127492904663},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.5150446891784668},{"id":"https://openalex.org/keywords/topological-index","display_name":"Topological index","score":0.5028395056724548},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4777483344078064},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.412114679813385},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3552286624908447},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.2863568961620331},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.22004199028015137},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19235998392105103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10764151811599731},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09101724624633789},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08754807710647583},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08076730370521545},{"id":"https://openalex.org/keywords/polymer","display_name":"Polymer","score":0.05360680818557739}],"concepts":[{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.8575068712234497},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.7279574871063232},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.727678656578064},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7046279907226562},{"id":"https://openalex.org/C128765274","wikidata":"https://www.wikidata.org/wiki/Q663314","display_name":"Hexagonal crystal system","level":2,"score":0.6246748566627502},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5996488332748413},{"id":"https://openalex.org/C2776026683","wikidata":"https://www.wikidata.org/wiki/Q43342","display_name":"Phenylene","level":3,"score":0.5639127492904663},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.5150446891784668},{"id":"https://openalex.org/C159867001","wikidata":"https://www.wikidata.org/wiki/Q904942","display_name":"Topological index","level":2,"score":0.5028395056724548},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4777483344078064},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.412114679813385},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3552286624908447},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.2863568961620331},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.22004199028015137},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19235998392105103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10764151811599731},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09101724624633789},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08754807710647583},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08076730370521545},{"id":"https://openalex.org/C521977710","wikidata":"https://www.wikidata.org/wiki/Q81163","display_name":"Polymer","level":2,"score":0.05360680818557739},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0},{"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-020-01483-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-020-01483-9","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3448323650","display_name":null,"funder_award_id":"11571123","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G536216000","display_name":null,"funder_award_id":"2019A1515012052","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G7766830692","display_name":null,"funder_award_id":"11971180","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"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W66141154","https://openalex.org/W178228270","https://openalex.org/W1988415695","https://openalex.org/W1999644567","https://openalex.org/W2047501527","https://openalex.org/W2051025159","https://openalex.org/W2318794083","https://openalex.org/W2337153326","https://openalex.org/W2405545741","https://openalex.org/W2560643315","https://openalex.org/W2811256672","https://openalex.org/W2980287569","https://openalex.org/W2980571866","https://openalex.org/W3045222397","https://openalex.org/W4230091671","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2898882437","https://openalex.org/W4225381306","https://openalex.org/W1968844089","https://openalex.org/W2953041517","https://openalex.org/W2164512662","https://openalex.org/W2077820952","https://openalex.org/W2352017532","https://openalex.org/W2027181523","https://openalex.org/W178228270","https://openalex.org/W2254742737"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
