{"id":"https://openalex.org/W2899731870","doi":"https://doi.org/10.1109/access.2018.2879745","title":"On the Trees With Maximal Augmented Zagreb Index","display_name":"On the Trees With Maximal Augmented Zagreb Index","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2899731870","doi":"https://doi.org/10.1109/access.2018.2879745","mag":"2899731870"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2879745","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2879745","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2018.2879745","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057387391","display_name":"Wenshui Lin","orcid":"https://orcid.org/0000-0002-3460-1002"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wenshui Lin","raw_affiliation_strings":["Fujian Key Laboratory of Sensing and Computing for Smart City, Xiamen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Key Laboratory of Sensing and Computing for Smart City, Xiamen, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046231788","display_name":"Akbar Ali","orcid":"https://orcid.org/0000-0001-8160-4196"},"institutions":[{"id":"https://openalex.org/I87482320","display_name":"University of Management and Technology","ror":"https://ror.org/0095xcq10","country_code":"PK","type":"education","lineage":["https://openalex.org/I87482320"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Akbar Ali","raw_affiliation_strings":["Knowledge Unit of Science, University of Management and Technology, Sialkot, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-8160-4196","affiliations":[{"raw_affiliation_string":"Knowledge Unit of Science, University of Management and Technology, Sialkot, Pakistan","institution_ids":["https://openalex.org/I87482320"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076309029","display_name":"Linshan Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Linshan Huang","raw_affiliation_strings":["School of Information Science and Engineering, Xiamen University, Xiamen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030692495","display_name":"Zhixi Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhixi Wu","raw_affiliation_strings":["School of Information Science and Engineering, Xiamen University, Xiamen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065376714","display_name":"Jianfeng Chen","orcid":"https://orcid.org/0000-0002-7281-7138"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianfeng Chen","raw_affiliation_strings":["School of Information Science and Engineering, Xiamen University, Xiamen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5057387391"],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.6591,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.89939333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"6","issue":null,"first_page":"69335","last_page":"69341"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9984999895095825,"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/T13013","display_name":"Free Radicals and Antioxidants","score":0.9847999811172485,"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/combinatorics","display_name":"Combinatorics","score":0.8162310719490051},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7822850942611694},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.726762056350708},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5688076019287109},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4679875373840332},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.4234771132469177},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4206193685531616}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8162310719490051},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7822850942611694},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.726762056350708},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5688076019287109},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4679875373840332},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.4234771132469177},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4206193685531616}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2879745","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2879745","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3270e91a3b98473890b7ada3a6ef2c87","is_oa":true,"landing_page_url":"https://doaj.org/article/3270e91a3b98473890b7ada3a6ef2c87","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 6, Pp 69335-69341 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2879745","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2879745","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3327150394","display_name":null,"funder_award_id":"11771362","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W2014803106","https://openalex.org/W2025299491","https://openalex.org/W2029807809","https://openalex.org/W2039063640","https://openalex.org/W2041735011","https://openalex.org/W2052669118","https://openalex.org/W2061459416","https://openalex.org/W2076121179","https://openalex.org/W2080255676","https://openalex.org/W2088743362","https://openalex.org/W2089806302","https://openalex.org/W2090484032","https://openalex.org/W2092910538","https://openalex.org/W2113032528","https://openalex.org/W2139798975","https://openalex.org/W2181804886","https://openalex.org/W2183119646","https://openalex.org/W2184120375","https://openalex.org/W2186234697","https://openalex.org/W2187683861","https://openalex.org/W2187864654","https://openalex.org/W2341939561","https://openalex.org/W2345243877","https://openalex.org/W2346468258","https://openalex.org/W2347946660","https://openalex.org/W2515334884","https://openalex.org/W2546841750","https://openalex.org/W2549383583","https://openalex.org/W2587411915","https://openalex.org/W2599378588","https://openalex.org/W2655279131","https://openalex.org/W2743741045","https://openalex.org/W2772704759","https://openalex.org/W2792525291","https://openalex.org/W2804302070","https://openalex.org/W2810218751","https://openalex.org/W2962695121","https://openalex.org/W2962752362","https://openalex.org/W2964252141","https://openalex.org/W4285719527","https://openalex.org/W4367164171","https://openalex.org/W6638088125","https://openalex.org/W6685980142","https://openalex.org/W6686326933","https://openalex.org/W6686328185","https://openalex.org/W6686520213","https://openalex.org/W6686558008","https://openalex.org/W6686579419","https://openalex.org/W6703784367","https://openalex.org/W6704720698","https://openalex.org/W6729262240","https://openalex.org/W6729633422","https://openalex.org/W6733735651","https://openalex.org/W6742453961"],"related_works":["https://openalex.org/W4313216298","https://openalex.org/W2071797893","https://openalex.org/W2097063382","https://openalex.org/W2384431448","https://openalex.org/W3002741190","https://openalex.org/W3037640829","https://openalex.org/W2893201198","https://openalex.org/W2884117239","https://openalex.org/W3189256254","https://openalex.org/W2055455751"],"abstract_inverted_index":{"The":[0],"augmented":[1],"Zagreb":[2],"index":[3],"(AZI),":[4],"a":[5,23,69,108],"variant":[6],"of":[7,25,202],"the":[8,18,37,81,113,129,143,149,161,170,178,198],"well-known":[9],"atom-bond":[10],"connectivity":[11],"(ABC)":[12],"index,":[13,49,79],"was":[14],"shown":[15],"to":[16,36,127,136,176],"have":[17,52],"best":[19],"predicting":[20],"ability":[21],"for":[22,151,187],"variety":[24],"physicochemical":[26],"properties":[27],"among":[28,99,184],"several":[29],"tested":[30],"vertex-degree-based":[31],"topological":[32],"indices.":[33],"However,":[34],"contrasting":[35],"extensive":[38],"research":[39],"on":[40,55,121],"Problem":[41,56,84,90],"A:":[42],"characterizing":[43,58],"n-vertex":[44,59,130,185,207],"tree(s)":[45,60,131],"with":[46,61,80,102,132,181,209],"minimal":[47,77],"ABC":[48,78],"few":[50],"works":[51],"been":[53],"done":[54],"B:":[57],"maximal":[62,72,133,182,210],"AZI.":[63,114],"Ali":[64,166],"and":[65,157,167],"Bhatti":[66],"conjectured":[67,175],"that":[68,83,98,142,196],"tree":[70,122,180,208],"has":[71,76],"AZI":[73,134,150,183,211],"iff":[74],"it":[75],"implication":[82],"B":[85],"is":[86,125,174],"as":[87,89],"difficult":[88],"A.":[91],"In":[92],"this":[93],"paper,":[94],"we":[95,159,194],"first":[96],"prove":[97,195],"connected":[100],"graphs":[101],"given":[103],"degree":[104,123],"sequence,":[105],"there":[106],"exists":[107],"breadthfirst":[109],"searching":[110],"graph":[111],"maximizing":[112],"Using":[115],"this,":[116],"an":[117,206],"efficient":[118],"algorithm":[119],"based":[120],"sequences":[124],"designed":[126],"search":[128],"up":[135],"n":[137,154,188,213],"=":[138],"200.":[139],"We":[140],"find":[141],"balanced":[144,171],"double":[145,172],"star":[146,173],"uniquely":[147],"maximizes":[148],"19":[152],"\u2264":[153,155],"200,":[156],"consequently,":[158],"disprove":[160],"aforementioned":[162],"conjecture":[163],"posed":[164],"by":[165],"Bhatti.":[168],"Naturally,":[169],"be":[177],"unique":[179],"trees":[186],"\u2265":[189,214],"19.":[190,215],"Toward":[191],"our":[192],"conjecture,":[193],"all":[197],"pendent":[199],"paths":[200],"are":[201],"length":[203],"1":[204],"in":[205],"if":[212]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
