{"id":"https://openalex.org/W2979794105","doi":"https://doi.org/10.3390/sym11101263","title":"Weighted h-index for Identifying Influential Spreaders","display_name":"Weighted h-index for Identifying Influential Spreaders","publication_year":2019,"publication_date":"2019-10-10","ids":{"openalex":"https://openalex.org/W2979794105","doi":"https://doi.org/10.3390/sym11101263","mag":"2979794105"},"language":"en","primary_location":{"id":"doi:10.3390/sym11101263","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11101263","pdf_url":"https://www.mdpi.com/2073-8994/11/10/1263/pdf?version=1570690789","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/11/10/1263/pdf?version=1570690789","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101980060","display_name":"Liang Gao","orcid":"https://orcid.org/0000-0003-4005-0339"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liang Gao","raw_affiliation_strings":["Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport, Beijing Jiaotong University, Beijing 100044, China"],"raw_orcid":"https://orcid.org/0000-0003-4005-0339","affiliations":[{"raw_affiliation_string":"Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050178815","display_name":"Senbin Yu","orcid":"https://orcid.org/0000-0001-7742-2058"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Senbin Yu","raw_affiliation_strings":["Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport, Beijing Jiaotong University, Beijing 100044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059586497","display_name":"Menghui Li","orcid":"https://orcid.org/0000-0001-8151-5898"},"institutions":[{"id":"https://openalex.org/I4210104311","display_name":"Institute of Scientific and Technical Information of China","ror":"https://ror.org/01b2av652","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210104311","https://openalex.org/I4210120069","https://openalex.org/I4210127390"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Menghui Li","raw_affiliation_strings":["Beijing Institute of Science and Technology Information, Beijing 100048, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Institute of Science and Technology Information, Beijing 100048, China","institution_ids":["https://openalex.org/I4210104311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040894517","display_name":"Zhesi Shen","orcid":"https://orcid.org/0000-0001-8414-7912"},"institutions":[{"id":"https://openalex.org/I4210148850","display_name":"National Science Library","ror":"https://ror.org/04ndjyr10","country_code":"CN","type":"archive","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210148850"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhesi Shen","raw_affiliation_strings":["National Science Library, Chinese Academy of Sciences, Beijing 100190, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Science Library, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I4210148850"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049135480","display_name":"Ziyou Gao","orcid":"https://orcid.org/0000-0002-6519-4681"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziyou Gao","raw_affiliation_strings":["Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport, Beijing Jiaotong University, Beijing 100044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101980060"],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.7209,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.70887839,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"11","issue":"10","first_page":"1263","last_page":"1263"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T10742","display_name":"Peer-to-Peer Network Technologies","score":0.9891999959945679,"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"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9836000204086304,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.7271468639373779},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.6625285148620605},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.6377698183059692},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5229102969169617},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5221550464630127},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5114456415176392},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49843621253967285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41630828380584717},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3872317671775818},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3559180796146393},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3513847589492798},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26324301958084106},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11762198805809021},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10756281018257141},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.09978315234184265}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7271468639373779},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.6625285148620605},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.6377698183059692},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5229102969169617},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5221550464630127},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5114456415176392},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49843621253967285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41630828380584717},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3872317671775818},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3559180796146393},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3513847589492798},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26324301958084106},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11762198805809021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10756281018257141},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.09978315234184265},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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":4,"locations":[{"id":"doi:10.3390/sym11101263","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11101263","pdf_url":"https://www.mdpi.com/2073-8994/11/10/1263/pdf?version=1570690789","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d9e6f95601744457a60189f5814135f6","is_oa":true,"landing_page_url":"https://doaj.org/article/d9e6f95601744457a60189f5814135f6","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":"Symmetry, Vol 11, Iss 10, p 1263 (2019)","raw_type":"article"},{"id":"pmh:oai:ir.las.ac.cn:12502/10669","is_oa":false,"landing_page_url":"http://ir.las.ac.cn/handle/12502/10669","pdf_url":null,"source":{"id":"https://openalex.org/S4306401488","display_name":"\u4e2d\u56fd\u79d1\u5b66\u9662\u6587\u732e\u60c5\u62a5\u4e2d\u5fc3\u673a\u6784\u77e5\u8bc6\u5e93 (Chinese Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I19820366","host_organization_name":"Chinese Academy of Sciences","host_organization_lineage":["https://openalex.org/I19820366"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"\u671f\u520a\u8bba\u6587"},{"id":"pmh:oai:mdpi.com:/2073-8994/11/10/1263/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym11101263","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym11101263","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11101263","pdf_url":"https://www.mdpi.com/2073-8994/11/10/1263/pdf?version=1570690789","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6800000071525574,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G6928097493","display_name":null,"funder_award_id":"2015JBM058","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2979794105.pdf"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W1967570846","https://openalex.org/W1971937094","https://openalex.org/W1985625141","https://openalex.org/W1990657247","https://openalex.org/W1992250165","https://openalex.org/W1992392028","https://openalex.org/W1994473607","https://openalex.org/W2008167229","https://openalex.org/W2015953751","https://openalex.org/W2026417691","https://openalex.org/W2032998042","https://openalex.org/W2033150668","https://openalex.org/W2038195874","https://openalex.org/W2040763707","https://openalex.org/W2054033891","https://openalex.org/W2061896930","https://openalex.org/W2064643031","https://openalex.org/W2065769502","https://openalex.org/W2067527464","https://openalex.org/W2079219719","https://openalex.org/W2089125183","https://openalex.org/W2092084789","https://openalex.org/W2103766763","https://openalex.org/W2108614537","https://openalex.org/W2112090702","https://openalex.org/W2112615110","https://openalex.org/W2130790725","https://openalex.org/W2132013054","https://openalex.org/W2133131640","https://openalex.org/W2155167324","https://openalex.org/W2155461593","https://openalex.org/W2161953836","https://openalex.org/W2261717057","https://openalex.org/W2319805406","https://openalex.org/W2396727997","https://openalex.org/W2470757901","https://openalex.org/W2504123798","https://openalex.org/W2546574318","https://openalex.org/W2562043777","https://openalex.org/W2580848040","https://openalex.org/W2587557517","https://openalex.org/W2613588287","https://openalex.org/W2616583680","https://openalex.org/W2784306928","https://openalex.org/W2810123564","https://openalex.org/W2907222094","https://openalex.org/W2908215076","https://openalex.org/W2914193193","https://openalex.org/W2932231495","https://openalex.org/W2963568110","https://openalex.org/W3103071483","https://openalex.org/W3103520065","https://openalex.org/W3103657871","https://openalex.org/W4403737130","https://openalex.org/W6873571899"],"related_works":["https://openalex.org/W2077314575","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W4380682190","https://openalex.org/W2005710836","https://openalex.org/W2102386043","https://openalex.org/W2945307361","https://openalex.org/W1987764909","https://openalex.org/W2116636209","https://openalex.org/W2884233091"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"weighted":[5],"h-index":[6,10],"h":[7,13,33,41],"w":[8,42],"and":[9,18,37,43,74],"strength":[11],"s":[12,32],"to":[14,71,76],"measure":[15],"spreading":[16,50,61],"capability":[17],"identify":[19],"the":[20,49,57,67],"most":[21],"influential":[22],"spreaders.":[23],"Experimental":[24],"results":[25],"on":[26],"twelve":[27],"real":[28],"networks":[29],"reveal":[30],"that":[31,66],"was":[34],"more":[35,38],"accurate":[36],"monotonic":[39],"than":[40],"four":[44],"previous":[45],"measures":[46],"in":[47],"ranking":[48],"influence":[51],"of":[52,69],"a":[53,78],"node":[54],"evaluated":[55],"by":[56],"single":[58],"seed":[59],"SIR":[60],"model.":[62],"We":[63],"point":[64],"out":[65],"questions":[68],"how":[70,75],"improve":[72],"monotonicity":[73],"determine":[77],"proper":[79],"neighborhood":[80],"range":[81],"are":[82],"two":[83],"interesting":[84],"future":[85],"directions.":[86]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4}],"updated_date":"2026-06-12T08:23:45.883708","created_date":"2019-10-18T00:00:00"}