{"id":"https://openalex.org/W3093840532","doi":"https://doi.org/10.1109/tnse.2021.3068203","title":"Controllability of Hypergraphs","display_name":"Controllability of Hypergraphs","publication_year":2021,"publication_date":"2021-03-23","ids":{"openalex":"https://openalex.org/W3093840532","doi":"https://doi.org/10.1109/tnse.2021.3068203","mag":"3093840532"},"language":"en","primary_location":{"id":"doi:10.1109/tnse.2021.3068203","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2021.3068203","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Network Science and Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2005.12244","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Can Chen","orcid":"https://orcid.org/0000-0003-2310-0074"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Can Chen","raw_affiliation_strings":["Department of Mathematics and the Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":"https://orcid.org/0000-0003-2310-0074","affiliations":[{"raw_affiliation_string":"Department of Mathematics and the Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Amit Surana","orcid":null},"institutions":[{"id":"https://openalex.org/I1306686416","display_name":"RTX (United States)","ror":"https://ror.org/0354t7b78","country_code":"US","type":"company","lineage":["https://openalex.org/I1306686416"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amit Surana","raw_affiliation_strings":["Raytheon Technologies Research Center, East Hartford, CT, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Raytheon Technologies Research Center, East Hartford, CT, USA","institution_ids":["https://openalex.org/I1306686416"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Anthony M. Bloch","orcid":"https://orcid.org/0000-0003-0235-9765"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anthony M. Bloch","raw_affiliation_strings":["Department of Mathematics, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":"https://orcid.org/0000-0003-0235-9765","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":null,"display_name":"Indika Rajapakse","orcid":"https://orcid.org/0000-0001-6160-9168"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Indika Rajapakse","raw_affiliation_strings":["Department of Computational Medicine and Bioinformatics, Medical School and the Department of Mathematics, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":"https://orcid.org/0000-0001-6160-9168","affiliations":[{"raw_affiliation_string":"Department of Computational Medicine and Bioinformatics, Medical School and the Department of Mathematics, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2045,"currency":"USD","value_usd":2045},"apc_paid":null,"fwci":4.1839,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.95942029,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"8","issue":"2","first_page":"1646","last_page":"1657"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.5070000290870667,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.5070000290870667,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.313400000333786,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.02889999933540821,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.9447000026702881},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.8059999942779541},{"id":"https://openalex.org/keywords/multilinear-map","display_name":"Multilinear map","score":0.7910000085830688},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6843000054359436},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.515999972820282},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.453900009393692},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44749999046325684},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.3521000146865845},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.34880000352859497}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9447000026702881},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.8059999942779541},{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.7910000085830688},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6843000054359436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6175000071525574},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.515999972820282},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5012999773025513},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.453900009393692},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44749999046325684},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.3521000146865845},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.34880000352859497},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3465999960899353},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.34049999713897705},{"id":"https://openalex.org/C41982775","wikidata":"https://www.wikidata.org/wiki/Q7000977","display_name":"Network controllability","level":4,"score":0.33250001072883606},{"id":"https://openalex.org/C143461762","wikidata":"https://www.wikidata.org/wiki/Q83587","display_name":"Controllability Gramian","level":3,"score":0.329800009727478},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.3249000012874603},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.32420000433921814},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.3237000107765198},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.31690001487731934},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2939000129699707},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2921999990940094},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.28439998626708984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2842999994754791},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2797999978065491},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.2782999873161316},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.2741999924182892},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2614000141620636},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.26100000739097595},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.26080000400543213},{"id":"https://openalex.org/C1680195","wikidata":"https://www.wikidata.org/wiki/Q2296021","display_name":"Tensor algebra","level":5,"score":0.2581000030040741},{"id":"https://openalex.org/C87414783","wikidata":"https://www.wikidata.org/wiki/Q1002603","display_name":"Degree distribution","level":3,"score":0.25270000100135803}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnse.2021.3068203","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2021.3068203","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Network Science and Engineering","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2005.12244","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.12244","pdf_url":"https://arxiv.org/pdf/2005.12244","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2005.12244","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.12244","pdf_url":"https://arxiv.org/pdf/2005.12244","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G161372104","display_name":null,"funder_award_id":"FA9550-18-1-0028","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3003487767","display_name":"Dynamics, Integrability, and Control of Mechanical and Nonholonomic Systems","funder_award_id":"1613819","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W1418668017","https://openalex.org/W1572272766","https://openalex.org/W1877916171","https://openalex.org/W1963649370","https://openalex.org/W1975446378","https://openalex.org/W1982821381","https://openalex.org/W1983193888","https://openalex.org/W1994308164","https://openalex.org/W1999122076","https://openalex.org/W2004008931","https://openalex.org/W2011304388","https://openalex.org/W2018934112","https://openalex.org/W2024165284","https://openalex.org/W2037271374","https://openalex.org/W2041423669","https://openalex.org/W2070207525","https://openalex.org/W2073045684","https://openalex.org/W2101420429","https://openalex.org/W2104085672","https://openalex.org/W2112090702","https://openalex.org/W2126826802","https://openalex.org/W2131557931","https://openalex.org/W2134251598","https://openalex.org/W2141737525","https://openalex.org/W2145709703","https://openalex.org/W2147219353","https://openalex.org/W2149544872","https://openalex.org/W2156286761","https://openalex.org/W2157529519","https://openalex.org/W2159937022","https://openalex.org/W2161474043","https://openalex.org/W2164727176","https://openalex.org/W2237805507","https://openalex.org/W2271974951","https://openalex.org/W2296217093","https://openalex.org/W2333873223","https://openalex.org/W2399184178","https://openalex.org/W2557781680","https://openalex.org/W2569828646","https://openalex.org/W2573873867","https://openalex.org/W2736909904","https://openalex.org/W2890893954","https://openalex.org/W2914355353","https://openalex.org/W2946297998","https://openalex.org/W2963659248","https://openalex.org/W2964074814","https://openalex.org/W2966278351","https://openalex.org/W2975486977","https://openalex.org/W2976540855","https://openalex.org/W2995222684","https://openalex.org/W3043902803","https://openalex.org/W3049654111","https://openalex.org/W3105137244","https://openalex.org/W3111589428","https://openalex.org/W3141038326","https://openalex.org/W4235019172","https://openalex.org/W4238329309","https://openalex.org/W4248272037","https://openalex.org/W6680635236","https://openalex.org/W6730890941","https://openalex.org/W6745399819","https://openalex.org/W6773252288"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,22,72,87],"develop":[4],"a":[5,24,33,67],"notion":[6],"of":[7,41,49,69],"controllability":[8,48],"for":[9],"hypergraphs":[10],"via":[11],"tensor":[12],"algebra":[13],"and":[14,31,71],"polynomial":[15],"control":[16,42],"theory.":[17],"Inspired":[18],"by":[19],"uniform":[20,51],"hypergraphs,":[21],"propose":[23],"new":[25],"tensor-based":[26],"multilinear":[27],"dynamical":[28],"system":[29],"representation,":[30],"derive":[32],"Kalman-rank-like":[34],"condition":[35],"to":[36,46,58,78,90],"determine":[37],"the":[38,60,79],"minimum":[39],"number":[40],"nodes":[43],"(MCN)":[44],"needed":[45],"achieve":[47],"even":[50],"hypergraphs.":[52],"We":[53],"present":[54],"an":[55],"efficient":[56],"heuristic":[57],"obtain":[59],"MCN.":[61],"MCN":[62,89],"can":[63],"be":[64],"used":[65],"as":[66],"measure":[68],"robustness,":[70],"show":[73],"that":[74],"it":[75],"is":[76],"related":[77],"hypergraph":[80],"degree":[81],"distribution":[82],"in":[83,93],"simulated":[84],"examples.":[85],"Finally,":[86],"use":[88],"examine":[91],"robustness":[92],"real":[94],"biological":[95],"networks.":[96]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":7}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2020-10-29T00:00:00"}