{"id":"https://openalex.org/W3012540517","doi":"https://doi.org/10.1109/cdc40024.2019.9029371","title":"Structural Robustness to Noise in Consensus Networks: Impact of Average Degrees and Average Distances","display_name":"Structural Robustness to Noise in Consensus Networks: Impact of Average Degrees and Average Distances","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3012540517","doi":"https://doi.org/10.1109/cdc40024.2019.9029371","mag":"3012540517"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9029371","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029371","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5041762786","display_name":"Yasin Yaz\u0131c\u0131o\u011flu","orcid":"https://orcid.org/0000-0001-6957-6831"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yasin Yazicioglu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041744190","display_name":"Waseem Abbas","orcid":"https://orcid.org/0000-0002-9013-1463"},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Waseem Abbas","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Vanderbilt University, Nashville, TN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Vanderbilt University, Nashville, TN, USA","institution_ids":["https://openalex.org/I200719446"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058924014","display_name":"Mudassir Shabbir","orcid":"https://orcid.org/0000-0002-6961-0961"},"institutions":[{"id":"https://openalex.org/I1323252656","display_name":"Information Technology University","ror":"https://ror.org/00ngv8j44","country_code":"PK","type":"education","lineage":["https://openalex.org/I1323252656"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Mudassir Shabbir","raw_affiliation_strings":["Computer Science Department, Information Technology University, Lahore, Punjab, Pakistan"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Information Technology University, Lahore, Punjab, Pakistan","institution_ids":["https://openalex.org/I1323252656"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041762786"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":null,"apc_paid":null,"fwci":3.0393,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.92006383,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"5444","last_page":"5449"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9962000250816345,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9962000250816345,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9961000084877014,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9751999974250793,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.8654139041900635},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5753361582756042},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.49634629487991333},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.49596890807151794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4840673506259918},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.45177313685417175},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4440980851650238},{"id":"https://openalex.org/keywords/population-variance","display_name":"Population variance","score":0.4235297441482544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4215799570083618},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22207492589950562},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16783151030540466}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.8654139041900635},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5753361582756042},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.49634629487991333},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.49596890807151794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4840673506259918},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.45177313685417175},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4440980851650238},{"id":"https://openalex.org/C2985420695","wikidata":"https://www.wikidata.org/wiki/Q175199","display_name":"Population variance","level":3,"score":0.4235297441482544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4215799570083618},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22207492589950562},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16783151030540466},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc40024.2019.9029371","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029371","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1536116438","https://openalex.org/W1593916827","https://openalex.org/W1903515055","https://openalex.org/W1977591515","https://openalex.org/W1993418693","https://openalex.org/W1994308164","https://openalex.org/W1998109365","https://openalex.org/W2073191319","https://openalex.org/W2099689250","https://openalex.org/W2104850762","https://openalex.org/W2129248505","https://openalex.org/W2141884480","https://openalex.org/W2144267444","https://openalex.org/W2156286761","https://openalex.org/W2165744313","https://openalex.org/W2171137858","https://openalex.org/W2288646055","https://openalex.org/W2315383458","https://openalex.org/W2803761918","https://openalex.org/W2920947914","https://openalex.org/W2921754768","https://openalex.org/W2963484379","https://openalex.org/W2972959293","https://openalex.org/W3090803701","https://openalex.org/W3099817679","https://openalex.org/W3101737857","https://openalex.org/W3104175967","https://openalex.org/W4247782380","https://openalex.org/W6632133629"],"related_works":["https://openalex.org/W2086397253","https://openalex.org/W141820298","https://openalex.org/W2133122801","https://openalex.org/W2049584446","https://openalex.org/W600422426","https://openalex.org/W2079781215","https://openalex.org/W4378770497","https://openalex.org/W2007156430","https://openalex.org/W4308245303","https://openalex.org/W4234815853"],"abstract_inverted_index":{"We":[0,16,33,95,110],"investigate":[1],"how":[2],"the":[3,7,18,27,35,43,54,62,68,79,87,102,106,123],"graph":[4],"topology":[5],"influences":[6],"robustness":[8,37,93,104,121],"to":[9,31],"noise":[10],"in":[11],"undirected":[12],"linear":[13],"consensus":[14],"networks.":[15,109],"consider":[17],"expected":[19],"steady":[20],"state":[21],"population":[22],"variance":[23],"of":[24,29,38,92,108],"states":[25],"as":[26],"measure":[28,47],"vulnerability":[30],"noise.":[32],"quantify":[34],"structural":[36,80,103,120],"a":[39,98],"network":[40],"by":[41],"using":[42],"smallest":[44],"value":[45],"this":[46],"can":[48],"attain":[49],"under":[50],"edge":[51],"weights":[52],"from":[53],"unit":[55],"interval.":[56],"Our":[57],"main":[58],"result":[59],"shows":[60],"that":[61,113],"average":[63,69,129],"distance":[64],"between":[65,101],"nodes":[66],"and":[67,75,105,128],"node":[70],"degree":[71],"define":[72],"tight":[73],"upper":[74],"lower":[76],"bounds":[77],"on":[78],"robustness.":[81],"Using":[82],"these":[83],"bounds,":[84],"we":[85],"characterize":[86],"networks":[88],"with":[89,125],"different":[90],"types":[91],"scaling.":[94],"also":[96,135],"present":[97],"fundamental":[99],"trade-off":[100],"sparsity":[107],"then":[111],"show":[112],"random":[114],"regular":[115],"graphs":[116,124],"typically":[117],"have":[118],"near-optimal":[119],"among":[122],"same":[126],"size":[127],"degree.":[130],"Some":[131],"simulation":[132],"results":[133],"are":[134],"provided.":[136]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}