{"id":"https://openalex.org/W4401467418","doi":"https://doi.org/10.1007/s11075-024-01881-1","title":"Edge importance in complex networks","display_name":"Edge importance in complex networks","publication_year":2024,"publication_date":"2024-08-09","ids":{"openalex":"https://openalex.org/W4401467418","doi":"https://doi.org/10.1007/s11075-024-01881-1"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-024-01881-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-024-01881-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-024-01881-1.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11075-024-01881-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001508343","display_name":"Silvia Noschese","orcid":"https://orcid.org/0000-0002-2995-9245"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Silvia Noschese","raw_affiliation_strings":["Dipartimento di Matematica, SAPIENZA Universit\u00e0 di Roma, P.le Aldo Moro 5, 00185, Roma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, SAPIENZA Universit\u00e0 di Roma, P.le Aldo Moro 5, 00185, Roma, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072817181","display_name":"Lothar Reichel","orcid":"https://orcid.org/0000-0003-1729-6816"},"institutions":[{"id":"https://openalex.org/I149910238","display_name":"Kent State University","ror":"https://ror.org/049pfb863","country_code":"US","type":"education","lineage":["https://openalex.org/I149910238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lothar Reichel","raw_affiliation_strings":["Department of Mathematical Sciences, Kent State University, Kent, OH, 44242, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Kent State University, Kent, OH, 44242, USA","institution_ids":["https://openalex.org/I149910238"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001508343"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.7462,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.84295727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"99","issue":"1","first_page":"377","last_page":"410"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9972000122070312,"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":0.9972000122070312,"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":0.9878000020980835,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9617999792098999,"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/theory-of-computation","display_name":"Theory of computation","score":0.7012301683425903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6240825653076172},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.48889175057411194},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4510178565979004},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23287993669509888},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22000253200531006},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18304461240768433},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16195037961006165}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7012301683425903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6240825653076172},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.48889175057411194},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4510178565979004},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23287993669509888},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22000253200531006},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18304461240768433},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16195037961006165}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-024-01881-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-024-01881-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-024-01881-1.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/1717411","is_oa":true,"landing_page_url":"https://hdl.handle.net/11573/1717411","pdf_url":"https://iris.uniroma1.it/bitstream/11573/1717411/1/Noschese_Edge%20importance_2024.pdf","source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s11075-024-01881-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-024-01881-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-024-01881-1.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1559356651","display_name":null,"funder_award_id":"2022ANC8HL","funder_id":"https://openalex.org/F4320322510","funder_display_name":"Sapienza Universit\u00e0 di Roma"},{"id":"https://openalex.org/G5245466801","display_name":null,"funder_award_id":"PRIN 2022","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320322510","display_name":"Sapienza Universit\u00e0 di Roma","ror":"https://ror.org/02be6w209"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401467418.pdf","grobid_xml":"https://content.openalex.org/works/W4401467418.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W51717795","https://openalex.org/W1483804921","https://openalex.org/W1506342804","https://openalex.org/W1985626992","https://openalex.org/W1994216459","https://openalex.org/W2016170913","https://openalex.org/W2073806017","https://openalex.org/W2089125183","https://openalex.org/W2480854438","https://openalex.org/W2605949786","https://openalex.org/W2911758917","https://openalex.org/W2943011962","https://openalex.org/W2963565661","https://openalex.org/W2963615156","https://openalex.org/W3120733914","https://openalex.org/W3167416242","https://openalex.org/W3201036834","https://openalex.org/W3206002092","https://openalex.org/W3210513322","https://openalex.org/W4211217667","https://openalex.org/W4238452917","https://openalex.org/W4238779936","https://openalex.org/W4300964664","https://openalex.org/W4381434905","https://openalex.org/W4386328726","https://openalex.org/W4386642283","https://openalex.org/W4389664861","https://openalex.org/W4390754132"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W2039023896"],"abstract_inverted_index":{"Abstract":[0],"Complex":[1],"networks":[2],"are":[3,16,168],"made":[4],"up":[5],"of":[6,23,31,46,57,77,80,102,104,114,118,121,128,146,161,171],"vertices":[7,79],"and":[8,73,164],"edges.":[9,59,148],"The":[10,159],"latter":[11],"connect":[12],"the":[13,21,24,29,43,47,55,58,65,70,75,78,81,100,115,119,122,133,143,147,154,190],"vertices.":[14,48],"There":[15],"several":[17],"ways":[18],"to":[19,53,63,98,106,174],"measure":[20],"importance":[22,56,76,101],"vertices,":[25],"e.g.,":[26],"by":[27,41,182],"counting":[28],"number":[30],"edges":[32,103,187],"that":[33,132,153],"start":[34],"or":[35,40],"end":[36],"at":[37],"each":[38],"vertex,":[39],"using":[42],"subgraph":[44],"centrality":[45],"It":[49],"is":[50,62,86],"more":[51],"difficult":[52],"assess":[54],"One":[60,109],"approach":[61,110,141],"consider":[64],"line":[66,82],"graph":[67],"associated":[68],"with":[69,185,188],"given":[71],"network":[72,178,184],"determine":[74,175],"graph,":[83],"but":[84],"this":[85],"fairly":[87],"complicated":[88],"except":[89],"for":[90],"small":[91],"networks.":[92,108],"This":[93],"paper":[94],"compares":[95],"two":[96],"approaches":[97],"estimate":[99],"medium-sized":[105],"large":[107,129],"computes":[111,142],"partial":[112,126],"derivatives":[113],"total":[116],"communicability":[117],"weights":[120],"edges,":[123],"where":[124],"a":[125,177,183],"derivative":[127],"magnitude":[130],"indicates":[131],"corresponding":[134],"edge":[135,155],"may":[136,156],"be":[137,157,180],"important.":[138,158],"Our":[139],"second":[140],"Perron":[144],"sensitivity":[145,151],"A":[149],"high":[150],"signals":[152],"performance":[160],"these":[162],"methods":[163],"some":[165],"computational":[166],"aspects":[167],"discussed.":[169],"Applications":[170],"interest":[172],"include":[173],"whether":[176],"can":[179],"replaced":[181],"fewer":[186],"about":[189],"same":[191],"communicability.":[192]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2024-08-10T00:00:00"}