{"id":"https://openalex.org/W1706596482","doi":"https://doi.org/10.23919/ecc.2013.6669464","title":"Graph comparison and its application in network synchronization","display_name":"Graph comparison and its application in network synchronization","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1706596482","doi":"https://doi.org/10.23919/ecc.2013.6669464","mag":"1706596482"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669464","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669464","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","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/A5010765894","display_name":"Hui Liu","orcid":"https://orcid.org/0000-0002-0516-0383"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Hui Liu","raw_affiliation_strings":["Faculty of Mathematics and Natural Sciences, University of Groningen, The Netherlands","[Fac. of Math. & Natural Sci., Univ. of Groningen, Groningen, Netherlands]"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Natural Sciences, University of Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]},{"raw_affiliation_string":"[Fac. of Math. & Natural Sci., Univ. of Groningen, Groningen, Netherlands]","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021403340","display_name":"Ming Cao","orcid":"https://orcid.org/0000-0001-5472-562X"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Ming Cao","raw_affiliation_strings":["Faculty of Mathematics and Natural Sciences, University of Groningen, The Netherlands","[Fac. of Math. & Natural Sci., Univ. of Groningen, Groningen, Netherlands]"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Natural Sciences, University of Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]},{"raw_affiliation_string":"[Fac. of Math. & Natural Sci., Univ. of Groningen, Groningen, Netherlands]","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038483763","display_name":"Chai Wah Wu","orcid":"https://orcid.org/0000-0002-0657-0683"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chai Wah Wu","raw_affiliation_strings":["IBM T. J. Watson Research Center, Yorktown Heights, NY, U.S.A","IBM T. J. Watson Research Center, Yorktown Heights , NY, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"IBM T. J. Watson Research Center, Yorktown Heights, NY, U.S.A","institution_ids":[]},{"raw_affiliation_string":"IBM T. J. Watson Research Center, Yorktown Heights , NY, USA#TAB#","institution_ids":["https://openalex.org/I1341412227"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010765894"],"corresponding_institution_ids":["https://openalex.org/I169381384"],"apc_list":null,"apc_paid":null,"fwci":1.0874,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.78609464,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3809","last_page":"3814"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9998999834060669,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9948999881744385,"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"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9939000010490417,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.6829587817192078},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6774658560752869},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6722461581230164},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6657779812812805},{"id":"https://openalex.org/keywords/spectral-graph-theory","display_name":"Spectral graph theory","score":0.6464951038360596},{"id":"https://openalex.org/keywords/algebraic-connectivity","display_name":"Algebraic connectivity","score":0.6356408596038818},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.5967074036598206},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5356172323226929},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.47814902663230896},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.4759269058704376},{"id":"https://openalex.org/keywords/topological-graph-theory","display_name":"Topological graph theory","score":0.4669288992881775},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.41927802562713623},{"id":"https://openalex.org/keywords/synchronization-networks","display_name":"Synchronization networks","score":0.41722095012664795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2149539589881897},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.14062708616256714},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.13048571348190308},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.11959320306777954}],"concepts":[{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.6829587817192078},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6774658560752869},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6722461581230164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6657779812812805},{"id":"https://openalex.org/C74003402","wikidata":"https://www.wikidata.org/wiki/Q3180727","display_name":"Spectral graph theory","level":5,"score":0.6464951038360596},{"id":"https://openalex.org/C7948225","wikidata":"https://www.wikidata.org/wiki/Q4723998","display_name":"Algebraic connectivity","level":4,"score":0.6356408596038818},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.5967074036598206},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5356172323226929},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.47814902663230896},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.4759269058704376},{"id":"https://openalex.org/C157406716","wikidata":"https://www.wikidata.org/wiki/Q4115842","display_name":"Topological graph theory","level":5,"score":0.4669288992881775},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41927802562713623},{"id":"https://openalex.org/C111097370","wikidata":"https://www.wikidata.org/wiki/Q10969923","display_name":"Synchronization networks","level":4,"score":0.41722095012664795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2149539589881897},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.14062708616256714},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.13048571348190308},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.11959320306777954},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2013.6669464","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669464","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W247697463","https://openalex.org/W257121868","https://openalex.org/W607068030","https://openalex.org/W1578099820","https://openalex.org/W1969649257","https://openalex.org/W1982378726","https://openalex.org/W1983426708","https://openalex.org/W1994308164","https://openalex.org/W1994830523","https://openalex.org/W1997709335","https://openalex.org/W1999683177","https://openalex.org/W2010434073","https://openalex.org/W2083787309","https://openalex.org/W2099689250","https://openalex.org/W2117344958","https://openalex.org/W2117362627","https://openalex.org/W2123820077","https://openalex.org/W2141451487","https://openalex.org/W2153841181","https://openalex.org/W2947553656"],"related_works":["https://openalex.org/W2478475484","https://openalex.org/W3106442811","https://openalex.org/W2475700395","https://openalex.org/W1002309053","https://openalex.org/W2531476721","https://openalex.org/W2597594164","https://openalex.org/W2165755074","https://openalex.org/W2030274157","https://openalex.org/W1557246723","https://openalex.org/W2798544890"],"abstract_inverted_index":{"Using":[0],"the":[1,36,39,44,53,70,80,99],"tool":[2],"of":[3,30,38,55,69,86],"graph":[4,8],"comparison":[5],"from":[6],"spectral":[7],"theory,":[9],"we":[10],"propose":[11],"new":[12],"methodologies":[13,51,100],"to":[14,25,61,78,94,97,101],"guarantee":[15],"complete":[16],"synchronization":[17,82],"in":[18,59,84,89],"complex":[19],"networks.":[20,90,102],"The":[21,49,66],"main":[22],"idea":[23],"is":[24],"utilize":[26],"flexibly":[27],"topological":[28],"features":[29],"a":[31],"given":[32],"network":[33,45,71],"so":[34],"that":[35],"eigenvalues":[37,73],"Laplacian":[40],"matrix":[41],"associated":[42],"with":[43],"can":[46,74],"be":[47,75],"estimated.":[48],"proposed":[50],"enable":[52],"construction":[54],"different":[56,62],"coupling-strength":[57],"combinations":[58],"response":[60],"knowledge":[63],"about":[64],"sub-networks.":[65],"obtained":[67],"bounds":[68],"graphs'":[72],"further":[76],"used":[77],"study":[79],"robust":[81],"problem":[83],"face":[85],"link":[87],"failures":[88],"Examples":[91],"are":[92],"utilized":[93],"demonstrate":[95],"how":[96],"apply":[98]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}