{"id":"https://openalex.org/W7134933573","doi":"https://doi.org/10.1093/comnet/cnaf046","title":"Spectrum and coherence analysis in networks with noise disturbance","display_name":"Spectrum and coherence analysis in networks with noise disturbance","publication_year":2025,"publication_date":"2025-10-18","ids":{"openalex":"https://openalex.org/W7134933573","doi":"https://doi.org/10.1093/comnet/cnaf046"},"language":"en","primary_location":{"id":"doi:10.1093/comnet/cnaf046","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comnet/cnaf046","pdf_url":null,"source":{"id":"https://openalex.org/S2531583244","display_name":"Journal of Complex Networks","issn_l":"2051-1310","issn":["2051-1310","2051-1329"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complex Networks","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/A5128756397","display_name":"Jia-Bao Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I118987531","display_name":"Anhui Jianzhu University","ror":"https://ror.org/0108wjw08","country_code":"CN","type":"education","lineage":["https://openalex.org/I118987531"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jia-Bao Liu","raw_affiliation_strings":["School of Mathematics and Physics, Anhui Jianzhu University, Shushan District, Hefei, Anhui, 230601,"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Anhui Jianzhu University, Shushan District, Hefei, Anhui, 230601,","institution_ids":["https://openalex.org/I118987531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5122939494","display_name":"Xiao-Juan Tang","orcid":null},"institutions":[{"id":"https://openalex.org/I118987531","display_name":"Anhui Jianzhu University","ror":"https://ror.org/0108wjw08","country_code":"CN","type":"education","lineage":["https://openalex.org/I118987531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Juan Tang","raw_affiliation_strings":["School of Mathematics and Physics, Anhui Jianzhu University, Shushan District, Hefei, Anhui, 230601,"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Anhui Jianzhu University, Shushan District, Hefei, Anhui, 230601,","institution_ids":["https://openalex.org/I118987531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128794973","display_name":"Guo-Jun Cai","orcid":null},"institutions":[{"id":"https://openalex.org/I118987531","display_name":"Anhui Jianzhu University","ror":"https://ror.org/0108wjw08","country_code":"CN","type":"education","lineage":["https://openalex.org/I118987531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guo-Jun Cai","raw_affiliation_strings":["School of Civil Engineering, Anhui Jianzhu University, Shushan District, Hefei, Anhui, 230601,"],"affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Anhui Jianzhu University, Shushan District, Hefei, Anhui, 230601,","institution_ids":["https://openalex.org/I118987531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046127285","display_name":"Jie Cao","orcid":"https://orcid.org/0000-0003-2547-7035"},"institutions":[{"id":"https://openalex.org/I4210090971","display_name":"Southeast University","ror":"https://ror.org/00cf0ab87","country_code":"BD","type":"education","lineage":["https://openalex.org/I4210090971"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["BD","CN"],"is_corresponding":false,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["School of Mathematics, Southeast University, Jiangning District, Nanjing, Jiangsu, 211189,"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Jiangning District, Nanjing, Jiangsu, 211189,","institution_ids":["https://openalex.org/I76569877","https://openalex.org/I4210090971"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5128756397"],"corresponding_institution_ids":["https://openalex.org/I118987531"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":1.4198,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.87637164,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"14","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.5455999970436096,"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":0.5455999970436096,"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/T11476","display_name":"Graph theory and applications","score":0.25209999084472656,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.04399999976158142,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/laplace-operator","display_name":"Laplace operator","score":0.6942999958992004},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.642300009727478},{"id":"https://openalex.org/keywords/coherence","display_name":"Coherence (philosophical gambling strategy)","score":0.6378999948501587},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.5570999979972839},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5364999771118164},{"id":"https://openalex.org/keywords/disturbance","display_name":"Disturbance (geology)","score":0.4968999922275543},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43779999017715454},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4090999960899353}],"concepts":[{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.6942999958992004},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.642300009727478},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.6378999948501587},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.5570999979972839},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5562999844551086},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5364999771118164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5001999735832214},{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.4968999922275543},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43779999017715454},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4090999960899353},{"id":"https://openalex.org/C2983980114","wikidata":"https://www.wikidata.org/wiki/Q4854529","display_name":"Noise spectrum","level":3,"score":0.39160001277923584},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38339999318122864},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.36980000138282776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35199999809265137},{"id":"https://openalex.org/C122381330","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Frequency spectrum","level":3,"score":0.34950000047683716},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3424000144004822},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2992999851703644},{"id":"https://openalex.org/C10801956","wikidata":"https://www.wikidata.org/wiki/Q17008754","display_name":"Degree of coherence","level":3,"score":0.29030001163482666},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.275299996137619},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.2727999985218048},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.272599995136261},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.26019999384880066},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.2515999972820282}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/comnet/cnaf046","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comnet/cnaf046","pdf_url":null,"source":{"id":"https://openalex.org/S2531583244","display_name":"Journal of Complex Networks","issn_l":"2051-1310","issn":["2051-1310","2051-1329"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complex Networks","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1705872711","https://openalex.org/W1980698230","https://openalex.org/W1982285389","https://openalex.org/W1991310198","https://openalex.org/W1999683177","https://openalex.org/W2006975882","https://openalex.org/W2020125634","https://openalex.org/W2081084405","https://openalex.org/W2081746349","https://openalex.org/W2101580881","https://openalex.org/W2134506290","https://openalex.org/W2161692884","https://openalex.org/W2288594268","https://openalex.org/W2338127217","https://openalex.org/W2789542820","https://openalex.org/W2806654778","https://openalex.org/W2962868843","https://openalex.org/W2988837913","https://openalex.org/W2991515896","https://openalex.org/W3013726800","https://openalex.org/W3150479692","https://openalex.org/W3154216708","https://openalex.org/W4206128404","https://openalex.org/W4247782380","https://openalex.org/W4318040207","https://openalex.org/W4376504682","https://openalex.org/W4386320573","https://openalex.org/W4392854192","https://openalex.org/W4404232326","https://openalex.org/W4409590066","https://openalex.org/W4412528444"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"The":[1],"Laplacian":[2,49],"spectrum":[3,50],"reflects":[4],"the":[5,38,48,60,68,75,78,83,88],"intrinsic":[6],"characteristics":[7,40],"and":[8,19,31,56,87],"properties":[9],"of":[10,41,44,59,67,80],"a":[11,42],"network,":[12],"which":[13],"can":[14],"be":[15],"used":[16],"to":[17],"quantify":[18],"evaluate":[20],"performance":[21],"metrics,":[22],"such":[23],"as":[24,64],"connectivity,":[25],"robustness,":[26],"information":[27],"propagation":[28],"efficiency,":[29],"consistency,":[30],"so":[32],"on.":[33],"Firstly,":[34],"we":[35,71],"systematically":[36],"analyze":[37],"topological":[39],"class":[43],"polygonal":[45],"networks.":[46],"Secondly,":[47],"is":[51],"calculated":[52],"through":[53],"matrix":[54],"decomposition":[55],"an":[57,65],"analysis":[58],"characteristic":[61],"polynomial.":[62],"Finally,":[63],"application":[66],"obtained":[69],"results,":[70],"derive":[72],"expressions":[73],"for":[74],"Kirchhoff":[76],"index,":[77],"number":[79],"spanning":[81],"trees,":[82],"mean":[84],"first-passage":[85],"time,":[86],"network":[89],"coherence.":[90]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-12T06:18:43.230356","created_date":"2026-03-12T00:00:00"}