{"id":"https://openalex.org/W1964150765","doi":"https://doi.org/10.1142/s0218348x14500066","title":"TRAPPING ON WEIGHTED TETRAHEDRON KOCH NETWORKS WITH SMALL-WORLD PROPERTY","display_name":"TRAPPING ON WEIGHTED TETRAHEDRON KOCH NETWORKS WITH SMALL-WORLD PROPERTY","publication_year":2014,"publication_date":"2014-03-01","ids":{"openalex":"https://openalex.org/W1964150765","doi":"https://doi.org/10.1142/s0218348x14500066","mag":"1964150765"},"language":"en","primary_location":{"id":"doi:10.1142/s0218348x14500066","doi":"https://doi.org/10.1142/s0218348x14500066","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218348x14500066","pdf_url":null,"source":{"id":"https://openalex.org/S204703277","display_name":"Fractals","issn_l":"0218-348X","issn":["0218-348X","1793-6543"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fractals","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5016524203","display_name":"Meifeng Dai","orcid":"https://orcid.org/0000-0003-4540-3084","observed_orcids":["https://orcid.org/0000-0003-4540-3084"]},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"MEIFENG DAI","raw_affiliation_strings":["Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, P. R. China","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049457190","display_name":"Qi Xie","orcid":"https://orcid.org/0009-0002-0099-2508","observed_orcids":["https://orcid.org/0009-0002-0099-2508"]},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"QI XIE","raw_affiliation_strings":["Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, P. R. China","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100675727","display_name":"Lifeng Xi","orcid":"https://orcid.org/0000-0001-5867-185X","observed_orcids":["https://orcid.org/0000-0001-5867-185X"]},"institutions":[{"id":"https://openalex.org/I1315279114","display_name":"Zhejiang Wanli University","ror":"https://ror.org/00rjdhd62","country_code":"CN","type":"education","lineage":["https://openalex.org/I1315279114"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"LIFENG XI","raw_affiliation_strings":["Institute of Mathematics, Zhejiang Wanli University, Ningbo 315100, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Zhejiang Wanli University, Ningbo 315100, P. R. China","institution_ids":["https://openalex.org/I1315279114"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4006,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.88699146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"22","issue":"01n02","first_page":"1450006","last_page":"1450006"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9473000168800354,"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":0.9473000168800354,"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":0.039000000804662704,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.001500000013038516,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/small-world-networks","display_name":"small-world networks","score":0.7260000109672546},{"id":"https://openalex.org/keywords/trapping","display_name":"trapping","score":0.48899999260902405},{"id":"https://openalex.org/keywords/weighted-clustering-coefficient","display_name":"weighted clustering coefficient","score":0.8330000042915344},{"id":"https://openalex.org/keywords/weighted-shortest-path","display_name":"weighted shortest path","score":0.8299999833106995},{"id":"https://openalex.org/keywords/mean-first-passage-time","display_name":"mean first passage time","score":0.9190000295639038},{"id":"https://openalex.org/keywords/self-similar-networks","display_name":"self-similar networks","score":0.9150000214576721}],"concepts":[{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.800678014755249},{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.7200790643692017},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.6060987114906311},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5829256176948547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5705156922340393},{"id":"https://openalex.org/C22047676","wikidata":"https://www.wikidata.org/wiki/Q898680","display_name":"Clustering coefficient","level":3,"score":0.5341804027557373},{"id":"https://openalex.org/C142323842","wikidata":"https://www.wikidata.org/wiki/Q7979900","display_name":"Weighted network","level":3,"score":0.517651379108429},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.5144098401069641},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46596506237983704},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.45564988255500793},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.41268616914749146},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38122475147247314},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.37780338525772095},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.3729107975959778},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29498767852783203},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15066364407539368},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1421903669834137},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13854393362998962},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12811270356178284},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.08413463830947876},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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":1,"locations":[{"id":"doi:10.1142/s0218348x14500066","doi":"https://doi.org/10.1142/s0218348x14500066","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218348x14500066","pdf_url":null,"source":{"id":"https://openalex.org/S204703277","display_name":"Fractals","issn_l":"0218-348X","issn":["0218-348X","1793-6543"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fractals","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1967377292","https://openalex.org/W1974412164","https://openalex.org/W1983275606","https://openalex.org/W1988492174","https://openalex.org/W1997876395","https://openalex.org/W2008620264","https://openalex.org/W2017546343","https://openalex.org/W2029173860","https://openalex.org/W2042693705","https://openalex.org/W2057857857","https://openalex.org/W2067539153","https://openalex.org/W2071869259","https://openalex.org/W2082374086","https://openalex.org/W2112090702"],"related_works":["https://openalex.org/W2186939535","https://openalex.org/W2082374086","https://openalex.org/W4221131015","https://openalex.org/W1995922106","https://openalex.org/W2187932723","https://openalex.org/W2073081972","https://openalex.org/W2048319839","https://openalex.org/W2053085614","https://openalex.org/W2337084907","https://openalex.org/W2941466182"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,19,49],"present":[4],"weighted":[5,26,31,41],"tetrahedron":[6,42],"Koch":[7,43],"networks":[8,44],"depending":[9],"on":[10,56,91],"a":[11,77,86],"weight":[12],"factor.":[13],"According":[14],"to":[15],"their":[16],"self-similar":[17],"construction,":[18],"obtain":[20],"the":[21,25,40,51,61,73,83],"analytical":[22],"expressions":[23],"of":[24,63],"clustering":[27],"coefficient":[28],"and":[29],"average":[30,52],"shortest":[32],"path":[33],"(AWSP).":[34],"The":[35],"obtained":[36],"solutions":[37],"show":[38],"that":[39,82],"exhibits":[45,85],"small-world":[46],"property.":[47],"Then,":[48],"calculate":[50],"receiving":[53],"time":[54],"(ART)":[55],"weighted-dependent":[57],"walks,":[58],"which":[59],"is":[60],"sum":[62],"mean":[64],"first-passage":[65],"times":[66],"(MFPTs)":[67],"for":[68],"all":[69],"nodes":[70],"absorpt":[71],"at":[72,76],"trap":[74],"located":[75],"hub":[78],"node.":[79],"We":[80],"find":[81],"ART":[84],"sublinear":[87],"or":[88],"linear":[89],"dependence":[90],"network":[92],"order.":[93]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}