{"id":"https://openalex.org/W2614668157","doi":"https://doi.org/10.1109/access.2017.2704880","title":"Moment-Based Spectral Analysis of Large-Scale Generalized Random Graphs","display_name":"Moment-Based Spectral Analysis of Large-Scale Generalized Random Graphs","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2614668157","doi":"https://doi.org/10.1109/access.2017.2704880","mag":"2614668157"},"language":"en","primary_location":{"id":"doi:10.1109/access.2017.2704880","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2704880","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.2017.2704880","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101593044","display_name":"Qun Liu","orcid":"https://orcid.org/0000-0001-6234-2995"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qun Liu","raw_affiliation_strings":["Mathematics School and Institute, Jilin University, Changchun, China"],"raw_orcid":"https://orcid.org/0000-0001-6234-2995","affiliations":[{"raw_affiliation_string":"Mathematics School and Institute, Jilin University, Changchun, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100941139","display_name":"Zhishan Dong","orcid":null},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhishan Dong","raw_affiliation_strings":["Mathematics School and Institute, Jilin University, Changchun, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics School and Institute, Jilin University, Changchun, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033953325","display_name":"En Wang","orcid":"https://orcid.org/0000-0001-6112-2923"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"En Wang","raw_affiliation_strings":["Department of Computer Science and Technology, Jilin University, Changchun, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Jilin University, Changchun, China","institution_ids":["https://openalex.org/I4210134929","https://openalex.org/I194450716"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.3473,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.56920845,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"5","issue":null,"first_page":"9453","last_page":"9463"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.8819005489349365},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.7326308488845825},{"id":"https://openalex.org/keywords/spectral-graph-theory","display_name":"Spectral graph theory","score":0.6029263138771057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5838117599487305},{"id":"https://openalex.org/keywords/graph-energy","display_name":"Graph energy","score":0.5817980766296387},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.5557898283004761},{"id":"https://openalex.org/keywords/spectral-radius","display_name":"Spectral radius","score":0.5046175718307495},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.4938550591468811},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4938414692878723},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.4611212909221649},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.44685959815979004},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.43599438667297363},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3868742883205414},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35306936502456665},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.30990779399871826},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.1833246350288391},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17338207364082336},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13194838166236877},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.12130242586135864},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.09609919786453247},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07913577556610107}],"concepts":[{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.8819005489349365},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.7326308488845825},{"id":"https://openalex.org/C74003402","wikidata":"https://www.wikidata.org/wiki/Q3180727","display_name":"Spectral graph theory","level":5,"score":0.6029263138771057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5838117599487305},{"id":"https://openalex.org/C78913703","wikidata":"https://www.wikidata.org/wiki/Q5597087","display_name":"Graph energy","level":5,"score":0.5817980766296387},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.5557898283004761},{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.5046175718307495},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.4938550591468811},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4938414692878723},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.4611212909221649},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.44685959815979004},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.43599438667297363},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3868742883205414},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35306936502456665},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.30990779399871826},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.1833246350288391},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17338207364082336},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13194838166236877},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.12130242586135864},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.09609919786453247},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07913577556610107},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2017.2704880","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2704880","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:d53fb74fac224470ab8fac1c01394600","is_oa":true,"landing_page_url":"https://doaj.org/article/d53fb74fac224470ab8fac1c01394600","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"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 5, Pp 9453-9463 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2017.2704880","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2704880","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/G1618276521","display_name":null,"funder_award_id":"11371169","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8469959278","display_name":null,"funder_award_id":"11671168","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":44,"referenced_works":["https://openalex.org/W638149299","https://openalex.org/W1501825524","https://openalex.org/W1536930209","https://openalex.org/W1914027636","https://openalex.org/W1969422026","https://openalex.org/W1973836644","https://openalex.org/W1976969221","https://openalex.org/W2005504141","https://openalex.org/W2013504674","https://openalex.org/W2018076081","https://openalex.org/W2061843075","https://openalex.org/W2080655821","https://openalex.org/W2081322100","https://openalex.org/W2081393301","https://openalex.org/W2083750870","https://openalex.org/W2083787309","https://openalex.org/W2099440098","https://openalex.org/W2104832886","https://openalex.org/W2112494680","https://openalex.org/W2112976607","https://openalex.org/W2116205511","https://openalex.org/W2118820208","https://openalex.org/W2124637492","https://openalex.org/W2126927299","https://openalex.org/W2129004493","https://openalex.org/W2129918926","https://openalex.org/W2132075562","https://openalex.org/W2152361742","https://openalex.org/W2164412882","https://openalex.org/W2164727176","https://openalex.org/W2165744313","https://openalex.org/W2292150771","https://openalex.org/W2504196632","https://openalex.org/W2504556629","https://openalex.org/W2962807482","https://openalex.org/W2963734869","https://openalex.org/W3099158364","https://openalex.org/W3106442811","https://openalex.org/W3142570770","https://openalex.org/W3143219376","https://openalex.org/W4237059239","https://openalex.org/W4392733169","https://openalex.org/W6644524268","https://openalex.org/W6651925351"],"related_works":["https://openalex.org/W3013964802","https://openalex.org/W2549624392","https://openalex.org/W4293849741","https://openalex.org/W2614668157","https://openalex.org/W2105661768","https://openalex.org/W2346372059","https://openalex.org/W2001241184","https://openalex.org/W4352976663","https://openalex.org/W2963718991","https://openalex.org/W4298350343"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,6,26,33,37,56,60,66,69,75,81,90,102],"spectra":[4],"of":[5,32,59,68,74,92,104],"adjacency":[7,34,76],"matrix":[8,11,35,39],"and":[9,36,48],"Laplacian":[10,38,82],"for":[12,25,55],"an":[13,119],"artificial":[14],"complex":[15],"network":[16],"model\u2014the":[17],"generalized":[18,43,98,110],"random":[19,44,99,111],"graph.":[20,100],"We":[21],"deduce":[22],"explicit":[23],"expressions":[24,85],"first":[27],"four":[28],"asymptotic":[29,71],"spectral":[30,61,72],"moments":[31],"associated":[40],"with":[41,46,113,126],"a":[42,93,97],"graph":[45],"independent":[47],"identically":[49],"distributed":[50],"vertex":[51],"weights.":[52],"An":[53],"estimate":[54],"upper":[57],"bound":[58],"radius":[62],"is":[63],"obtained":[64],"on":[65],"basis":[67,103],"fourth":[70],"moment":[73],"matrix,":[77],"as":[78,80],"well":[79],"matrix.":[83],"These":[84],"are":[86],"applied":[87],"to":[88],"study":[89],"behavior":[91],"viral":[94],"infection":[95],"in":[96],"On":[101],"our":[105,127],"results,":[106],"we":[107],"can":[108],"design":[109],"graphs":[112],"good":[114],"antivirus":[115],"ability":[116],"when":[117],"facing":[118],"initial":[120],"virus":[121],"infection.":[122],"Numerical":[123],"simulations":[124],"agree":[125],"analytical":[128],"predictions.":[129]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
