{"id":"https://openalex.org/W2344805662","doi":"https://doi.org/10.1109/access.2016.2559450","title":"The Role of Graph Theory in System of Systems Engineering","display_name":"The Role of Graph Theory in System of Systems Engineering","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2344805662","doi":"https://doi.org/10.1109/access.2016.2559450","mag":"2344805662"},"language":"en","primary_location":{"id":"doi:10.1109/access.2016.2559450","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2016.2559450","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2016.2559450","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Willie K. Harrison","orcid":"https://orcid.org/0000-0001-6673-3344"},"institutions":[{"id":"https://openalex.org/I888729015","display_name":"University of Colorado Colorado Springs","ror":"https://ror.org/054spjc55","country_code":"US","type":"education","lineage":["https://openalex.org/I888729015"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Willie K. Harrison","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Colorado Colorado Springs, Colorado Springs, CO, USA"],"raw_orcid":"https://orcid.org/0000-0001-6673-3344","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Colorado Colorado Springs, Colorado Springs, CO, USA","institution_ids":["https://openalex.org/I888729015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I888729015"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.6314,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.90030747,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"4","issue":null,"first_page":"1716","last_page":"1742"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12000","display_name":"Systems Engineering Methodologies and Applications","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12000","display_name":"Systems Engineering Methodologies and Applications","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14306","display_name":"Technology Assessment and Management","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11729","display_name":"Product Development and Customization","score":0.9815000295639038,"subfield":{"id":"https://openalex.org/subfields/1405","display_name":"Management of Technology and Innovation"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7694036960601807},{"id":"https://openalex.org/keywords/software-deployment","display_name":"Software deployment","score":0.6022347807884216},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5854122638702393},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.5748472213745117},{"id":"https://openalex.org/keywords/extensibility","display_name":"Extensibility","score":0.5647570490837097},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.553220808506012},{"id":"https://openalex.org/keywords/system-of-systems","display_name":"System of systems","score":0.46438443660736084},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.42982012033462524},{"id":"https://openalex.org/keywords/systems-design","display_name":"Systems design","score":0.3478407859802246},{"id":"https://openalex.org/keywords/software-engineering","display_name":"Software engineering","score":0.3157728612422943},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.21336036920547485},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11852407455444336}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7694036960601807},{"id":"https://openalex.org/C105339364","wikidata":"https://www.wikidata.org/wiki/Q2297740","display_name":"Software deployment","level":2,"score":0.6022347807884216},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5854122638702393},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.5748472213745117},{"id":"https://openalex.org/C32833848","wikidata":"https://www.wikidata.org/wiki/Q4115054","display_name":"Extensibility","level":2,"score":0.5647570490837097},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.553220808506012},{"id":"https://openalex.org/C87912763","wikidata":"https://www.wikidata.org/wiki/Q7663737","display_name":"System of systems","level":3,"score":0.46438443660736084},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.42982012033462524},{"id":"https://openalex.org/C31352089","wikidata":"https://www.wikidata.org/wiki/Q3750474","display_name":"Systems design","level":2,"score":0.3478407859802246},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.3157728612422943},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.21336036920547485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11852407455444336},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2016.2559450","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2016.2559450","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:703fe37d50574f639eb6bb0db77365c7","is_oa":true,"landing_page_url":"https://doaj.org/article/703fe37d50574f639eb6bb0db77365c7","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":"IEEE Access, Vol 4, Pp 1716-1742 (2016)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2016.2559450","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2016.2559450","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W140464701","https://openalex.org/W183183720","https://openalex.org/W1602659231","https://openalex.org/W1603012362","https://openalex.org/W1964962870","https://openalex.org/W1992934654","https://openalex.org/W2002531683","https://openalex.org/W2016726851","https://openalex.org/W2018242485","https://openalex.org/W2068285646","https://openalex.org/W2076977679","https://openalex.org/W2099111195","https://openalex.org/W2120276447","https://openalex.org/W2128978199","https://openalex.org/W2139042071","https://openalex.org/W2143476164","https://openalex.org/W2157954477","https://openalex.org/W2160245020","https://openalex.org/W2163169902","https://openalex.org/W2169528473","https://openalex.org/W2170616854","https://openalex.org/W2183117976","https://openalex.org/W2288977256","https://openalex.org/W2478708596","https://openalex.org/W2897150834","https://openalex.org/W3149762920","https://openalex.org/W4206097460","https://openalex.org/W4213060883","https://openalex.org/W4285719527","https://openalex.org/W6635955832","https://openalex.org/W6680253440","https://openalex.org/W6686154696"],"related_works":["https://openalex.org/W1533614215","https://openalex.org/W2885989553","https://openalex.org/W1980228813","https://openalex.org/W1542338789","https://openalex.org/W2014618744","https://openalex.org/W2133273222","https://openalex.org/W2142417190","https://openalex.org/W2077348519","https://openalex.org/W4315562634","https://openalex.org/W1982828009"],"abstract_inverted_index":{"The":[0,107],"world":[1],"of":[2,4,28,62,77,101,135],"system":[3,85],"systems":[5,10,27,29],"engineering":[6],"(SoSE),":[7],"and":[8,23,33,47,80,94,103,114],"consequently":[9],"engineering,":[11],"is":[12,109,115],"currently":[13],"being":[14],"reformalized":[15],"so":[16],"as":[17],"to":[18,40,65,117,126,130],"provide":[19],"greater":[20],"functionality,":[21],"integration,":[22],"extensibility":[24],"into":[25],"designed":[26],"(SoS).":[30],"Graph":[31],"theory":[32,64,79,137],"big":[34],"data":[35],"techniques":[36],"are":[37],"in":[38,44,67,138],"position":[39],"play":[41],"substantial":[42],"roles":[43],"this":[45,49,71],"reformalization,":[46],"hence,":[48],"paper":[50],"fills":[51],"a":[52,119],"significant":[53],"need":[54],"by":[55],"bringing":[56],"together":[57],"all":[58],"known":[59,81],"current":[60],"applications":[61,76,134],"graph":[63,78,82,96,136],"SoSE":[66],"tutorial/summary":[68],"form.":[69],"In":[70],"paper,":[72],"we":[73],"explore":[74],"the":[75,133],"algorithms":[83,97],"for":[84,98],"design":[86],"(and":[87],"SoS":[88,105],"design),":[89],"optimization":[90],"techniques,":[91],"complexity":[92],"measures,":[93],"novel":[95],"real-time":[99],"deployment":[100],"SoS's":[102],"managing":[104],"design.":[106],"work":[108],"straightforward":[110],"with":[111],"several":[112],"examples,":[113],"meant":[116],"be":[118,124],"standalone":[120],"document":[121],"that":[122],"can":[123],"used":[125],"quickly":[127],"come":[128],"up":[129],"speed":[131],"regarding":[132],"SoSE.":[139]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}