{"id":"https://openalex.org/W4288540247","doi":"https://doi.org/10.1007/978-3-030-97328-5_12","title":"The Energy of Trees with Diameter Five Under Given Conditions","display_name":"The Energy of Trees with Diameter Five Under Given Conditions","publication_year":2022,"publication_date":"2022-03-10","ids":{"openalex":"https://openalex.org/W4288540247","doi":"https://doi.org/10.1007/978-3-030-97328-5_12"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-97328-5_12","doi":"https://doi.org/10.1007/978-3-030-97328-5_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-97328-5_12","pdf_url":null,"source":{"id":"https://openalex.org/S4210201513","display_name":"Nonlinear systems and complexity","issn_l":"2195-9994","issn":["2195-9994","2196-0003"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Systems and Complexity","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4288678316","display_name":"New Perspectives on Nonlinear Dynamics and Complexity"},"type":"book-chapter","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/A5028905263","display_name":"Yarong Jia","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yarong Jia","raw_affiliation_strings":["School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai, China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101181394","display_name":"Qingsong Du","orcid":"https://orcid.org/0009-0005-3347-7897","observed_orcids":["https://orcid.org/0009-0005-3347-7897"]},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingsong Du","raw_affiliation_strings":["School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai, China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100395509","display_name":"Bin Liu","orcid":"https://orcid.org/0000-0002-5852-7599","observed_orcids":["https://orcid.org/0000-0002-5852-7599","https://orcid.org/0009-0005-3294-0317","https://orcid.org/0009-0007-3968-5181"]},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai, China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036262283","display_name":"Zijian Deng","orcid":"https://orcid.org/0000-0001-6679-151X","observed_orcids":["https://orcid.org/0000-0001-6679-151X"]},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zijian Deng","raw_affiliation_strings":["School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai, China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024165267","display_name":"Bofeng Huo","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bofeng Huo","raw_affiliation_strings":["School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai, China","institution_ids":["https://openalex.org/I20616075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I20616075"],"apc_list":null,"apc_paid":null,"fwci":3.2495,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.91530551,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"181","last_page":"193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":1.0,"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":1.0,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.0,"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/graph-energy","display_name":"graph energy","score":0.9620000123977661},{"id":"https://openalex.org/keywords/trees","display_name":"trees","score":0.8820000290870667},{"id":"https://openalex.org/keywords/adjacency-eigenvalues","display_name":"adjacency matrix eigenvalues","score":0.949999988079071},{"id":"https://openalex.org/keywords/necessary-conditions","display_name":"necessary conditions","score":0.5659999847412109},{"id":"https://openalex.org/keywords/extremal-graph-theory","display_name":"extremal graph theory","score":0.7879999876022339}],"concepts":[{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.8509268760681152},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7644457817077637},{"id":"https://openalex.org/C78913703","wikidata":"https://www.wikidata.org/wiki/Q5597087","display_name":"Graph energy","level":5,"score":0.6488664746284485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6026719212532043},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5892767310142517},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5548692941665649},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.5303780436515808},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5291334390640259},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4573989510536194},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1503412425518036},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1400165855884552},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.09188666939735413},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.07842773199081421},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04804864525794983},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-97328-5_12","doi":"https://doi.org/10.1007/978-3-030-97328-5_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-97328-5_12","pdf_url":null,"source":{"id":"https://openalex.org/S4210201513","display_name":"Nonlinear systems and complexity","issn_l":"2195-9994","issn":["2195-9994","2196-0003"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Systems and Complexity","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8199999928474426}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1987384957","https://openalex.org/W2015694005","https://openalex.org/W2023838007","https://openalex.org/W2029108524","https://openalex.org/W4230572909"],"related_works":["https://openalex.org/W2972289095","https://openalex.org/W3114897765","https://openalex.org/W1537186028","https://openalex.org/W1562068648","https://openalex.org/W4288540247","https://openalex.org/W4226162056","https://openalex.org/W4297821226","https://openalex.org/W3161456747","https://openalex.org/W4300914324","https://openalex.org/W4367060409"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2025-10-10T00:00:00"}
