{"id":"https://openalex.org/W4398223286","doi":"https://doi.org/10.1093/comnet/cnae020","title":"Exact determination of MFPT for random walks on rounded fractal networks with varying topologies","display_name":"Exact determination of MFPT for random walks on rounded fractal networks with varying topologies","publication_year":2024,"publication_date":"2024-05-22","ids":{"openalex":"https://openalex.org/W4398223286","doi":"https://doi.org/10.1093/comnet/cnae020"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1093/comnet/cnae020","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_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311647","https://openalex.org/P4310311648"],"host_organization_lineage_names":["University of Oxford","Oxford University Press"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5100405075","display_name":"Yuanyuan Liu","orcid":"https://orcid.org/0000-0003-2503-9975"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"funder","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanyuan Liu","raw_affiliation_strings":["Department of Mathematics, School of Sciences, Hangzhou Dianzi University , Hangzhou 310018, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Sciences, Hangzhou Dianzi University , Hangzhou 310018, P.R. China","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100394887","display_name":"Jing Chen","orcid":"https://orcid.org/0000-0002-3082-7290"},"institutions":[{"id":"https://openalex.org/I4210125098","display_name":"Hangzhou Vocational and Technical College","ror":"https://ror.org/03jjm4b17","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210125098"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Chen","raw_affiliation_strings":["School of Information Technology, Zhejiang Yuying College of Vocational Technology , Hangzhou 310018, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Information Technology, Zhejiang Yuying College of Vocational Technology , Hangzhou 310018, P.R. China","institution_ids":["https://openalex.org/I4210125098"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040669518","display_name":"Weigang Sun","orcid":"https://orcid.org/0000-0001-8699-5392"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"funder","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weigang Sun","raw_affiliation_strings":["Department of Mathematics, School of Sciences, Hangzhou Dianzi University , Hangzhou 310018, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Sciences, Hangzhou Dianzi University , Hangzhou 310018, P.R. China","institution_ids":["https://openalex.org/I50760025"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":1.565,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.999855,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"12","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998,"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":0.9998,"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":0.9871,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9813,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/first-hitting-time-model","display_name":"First-hitting-time model","score":0.5985127}],"concepts":[{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.88002527},{"id":"https://openalex.org/C186659197","wikidata":"https://www.wikidata.org/wiki/Q5452195","display_name":"First-hitting-time model","level":2,"score":0.5985127},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.5942565},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.5378868},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5203333},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.47848862},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.43355867},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41553402},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41058248},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3299867},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.27347815},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12545964},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11309138},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10556519},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.061832935},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1093/comnet/cnae020","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_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311647","https://openalex.org/P4310311648"],"host_organization_lineage_names":["University of Oxford","Oxford University Press"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320325436","funder_display_name":"Department of Education of Zhejiang Province","award_id":"Y202352643"}],"datasets":[],"versions":[],"referenced_works_count":43,"referenced_works":["https://openalex.org/W1528800279","https://openalex.org/W1572229104","https://openalex.org/W1968605010","https://openalex.org/W1980411035","https://openalex.org/W1989685515","https://openalex.org/W1995519784","https://openalex.org/W1998200279","https://openalex.org/W2002746382","https://openalex.org/W2003586074","https://openalex.org/W2046081898","https://openalex.org/W2047637319","https://openalex.org/W2057857857","https://openalex.org/W2124637492","https://openalex.org/W2136931666","https://openalex.org/W2137108941","https://openalex.org/W2148606196","https://openalex.org/W2184028956","https://openalex.org/W2473743798","https://openalex.org/W2566971417","https://openalex.org/W2743462696","https://openalex.org/W2794067940","https://openalex.org/W2891074364","https://openalex.org/W2892007910","https://openalex.org/W2904144114","https://openalex.org/W2950969150","https://openalex.org/W2973740800","https://openalex.org/W2986826588","https://openalex.org/W2987000867","https://openalex.org/W3000421666","https://openalex.org/W3001230539","https://openalex.org/W3014502602","https://openalex.org/W3098657114","https://openalex.org/W3099968385","https://openalex.org/W3154216708","https://openalex.org/W4288075603","https://openalex.org/W4313251347","https://openalex.org/W4317620287","https://openalex.org/W4318040207","https://openalex.org/W4318586174","https://openalex.org/W4327545764","https://openalex.org/W4376876161","https://openalex.org/W4386962878","https://openalex.org/W979503420"],"related_works":["https://openalex.org/W2738188587","https://openalex.org/W2184944844","https://openalex.org/W2148392559","https://openalex.org/W2088949004","https://openalex.org/W2086397253","https://openalex.org/W2038723108","https://openalex.org/W2033630974","https://openalex.org/W2013332237","https://openalex.org/W1964620150","https://openalex.org/W1597743604"],"abstract_inverted_index":{"Abstract":[0],"Random":[1],"walk":[2,130],"is":[3,24,37,89,104,131],"a":[4,10,17,53,126],"stochastic":[5],"process":[6],"that":[7,125],"moves":[8],"through":[9,92],"network":[11],"between":[12,160],"different":[13],"states":[14],"according":[15],"to":[16,66,117,156],"set":[18],"of":[19,30,55,71,110,137],"probability":[20],"rules.":[21],"This":[22],"mechanism":[23],"crucial":[25],"for":[26,77,86,99],"understanding":[27],"the":[28,68,72,107,111,115,135,151,157],"importance":[29],"nodes":[31],"and":[32,35,45,62,139],"their":[33],"similarities,":[34],"it":[36],"widely":[38],"used":[39],"in":[40,147],"page":[41],"ranking,":[42],"information":[43],"retrieval":[44],"community":[46],"detection.":[47],"In":[48],"this":[49,101],"study,":[50],"we":[51,123],"introduce":[52],"family":[54],"rounded":[56,112],"fractal":[57,142],"networks":[58,143],"with":[59],"varying":[60],"topologies":[61],"conduct":[63],"an":[64,82],"analysis":[65],"investigate":[67],"scaling":[69],"behaviour":[70],"mean":[73],"first-passage":[74],"time":[75],"(MFPT)":[76],"random":[78,129,148],"walks.":[79],"We":[80],"present":[81],"exact":[83],"analytical":[84],"expression":[85],"MFPT,":[87],"which":[88],"subsequently":[90],"confirmed":[91],"direct":[93],"numerical":[94],"calculations.":[95],"Furthermore,":[96],"our":[97],"approach":[98],"calculating":[100],"interesting":[102],"quantity":[103],"based":[105],"on":[106],"self-similar":[108],"structure":[109],"networks,":[113],"eliminating":[114],"need":[116],"compute":[118],"each":[119],"Laplacian":[120],"spectrum.":[121],"Finally,":[122],"conclude":[124],"more":[127],"efficient":[128],"achieved":[132],"by":[133],"reducing":[134],"number":[136],"polygons":[138],"edges.":[140],"Rounded":[141],"demonstrate":[144],"superior":[145],"efficiency":[146],"walks":[149],"at":[150],"initial":[152],"state,":[153],"primarily":[154],"due":[155],"minimal":[158],"distances":[159],"vertices.":[161]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4398223286","counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-03-23T21:08:59.865333","created_date":"2024-05-23"}