{"id":"https://openalex.org/W3047228601","doi":"https://doi.org/10.1155/2020/8747684","title":"Research on Extreme Signed Graphs with Minimal Energy in Tricyclic Signed Graphs <i>S</i>(<i>n</i>, <i>n</i>\u2009+\u20092)","display_name":"Research on Extreme Signed Graphs with Minimal Energy in Tricyclic Signed Graphs <i>S</i>(<i>n</i>, <i>n</i>\u2009+\u20092)","publication_year":2020,"publication_date":"2020-08-04","ids":{"openalex":"https://openalex.org/W3047228601","doi":"https://doi.org/10.1155/2020/8747684","mag":"3047228601"},"language":"en","primary_location":{"id":"doi:10.1155/2020/8747684","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/8747684","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8747684.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/8747684.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100356735","display_name":"Yajing Wang","orcid":"https://orcid.org/0000-0002-9356-7684"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yajing Wang","raw_affiliation_strings":["Department of Data Science and Technology, North University of China, Taiyuan, Shanxi 030051, China"],"affiliations":[{"raw_affiliation_string":"Department of Data Science and Technology, North University of China, Taiyuan, Shanxi 030051, China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019319907","display_name":"Yubin Gao","orcid":"https://orcid.org/0000-0002-3333-4002"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yubin Gao","raw_affiliation_strings":["Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, China","institution_ids":["https://openalex.org/I135714990"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019319907"],"corresponding_institution_ids":["https://openalex.org/I135714990"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19110473,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"8"},"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/T11298","display_name":"Synthesis and Properties of Aromatic Compounds","score":0.9976999759674072,"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/T10083","display_name":"Graphene research and applications","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/signed-graph","display_name":"Signed graph","score":0.9281685948371887},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.6207655072212219},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.54283607006073},{"id":"https://openalex.org/keywords/tricyclic","display_name":"Tricyclic","score":0.5369313359260559},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5254418253898621},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5206931829452515},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.484379380941391},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41483795642852783},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34919846057891846},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33742672204971313},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15778324007987976},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09843304753303528},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.08705034852027893},{"id":"https://openalex.org/keywords/stereochemistry","display_name":"Stereochemistry","score":0.06124609708786011}],"concepts":[{"id":"https://openalex.org/C2779773260","wikidata":"https://www.wikidata.org/wiki/Q11246292","display_name":"Signed graph","level":3,"score":0.9281685948371887},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.6207655072212219},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.54283607006073},{"id":"https://openalex.org/C2781081902","wikidata":"https://www.wikidata.org/wiki/Q3539074","display_name":"Tricyclic","level":2,"score":0.5369313359260559},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5254418253898621},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5206931829452515},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.484379380941391},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41483795642852783},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34919846057891846},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33742672204971313},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15778324007987976},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09843304753303528},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.08705034852027893},{"id":"https://openalex.org/C71240020","wikidata":"https://www.wikidata.org/wiki/Q186011","display_name":"Stereochemistry","level":1,"score":0.06124609708786011},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2020/8747684","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/8747684","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8747684.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ac776e6d23ce4af5b22dcd981064cd76","is_oa":true,"landing_page_url":"https://doaj.org/article/ac776e6d23ce4af5b22dcd981064cd76","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":"Complexity, Vol 2020 (2020)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2020/8747684","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8747684","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2020/8747684","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/8747684","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8747684.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.800000011920929,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1505040361","display_name":null,"funder_award_id":"201901D211227","funder_id":"https://openalex.org/F4320321884","funder_display_name":"Shanxi Scholarship Council of China"}],"funders":[{"id":"https://openalex.org/F4320321884","display_name":"Shanxi Scholarship Council of China","ror":"https://ror.org/04atp4p48"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3047228601.pdf","grobid_xml":"https://content.openalex.org/works/W3047228601.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1980769375","https://openalex.org/W1991710706","https://openalex.org/W1999564570","https://openalex.org/W2006766927","https://openalex.org/W2021356981","https://openalex.org/W2058712216","https://openalex.org/W2066916216","https://openalex.org/W2087910180","https://openalex.org/W2109389428","https://openalex.org/W2295292821","https://openalex.org/W2609829448","https://openalex.org/W2795804108"],"related_works":["https://openalex.org/W2099844546","https://openalex.org/W2024347494","https://openalex.org/W2051602984","https://openalex.org/W2410210221","https://openalex.org/W2408462117","https://openalex.org/W80732393","https://openalex.org/W2427170743","https://openalex.org/W4249235502","https://openalex.org/W4310914410","https://openalex.org/W2052885720"],"abstract_inverted_index":{"A":[0],"signed":[1,18,38,62],"graph":[2,39],"is":[3],"acquired":[4],"by":[5],"attaching":[6],"a":[7,13,37],"sign":[8],"to":[9],"each":[10],"edge":[11],"of":[12,31,36,49,53],"simple":[14],"graph,":[15],"and":[16],"the":[17,29,47,50],"graphs":[19,63],"have":[20],"been":[21],"widely":[22],"used":[23],"as":[24,46],"significant":[25],"computer":[26],"models":[27],"in":[28],"study":[30],"complex":[32],"systems.":[33],"The":[34],"energy":[35],"<mml:math":[40],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[41],"id=\"M1\"><mml:mi>S</mml:mi></mml:math>":[42],"can":[43],"be":[44],"described":[45],"sum":[48],"absolute":[51],"values":[52],"its":[54],"eigenvalues.":[55],"In":[56],"this":[57],"paper,":[58],"we":[59],"characterize":[60],"tricyclic":[61],"with":[64],"minimal":[65],"energy.":[66]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2020-08-10T00:00:00"}