{"id":"https://openalex.org/W2964670465","doi":"https://doi.org/10.3390/a12080157","title":"In Search of the Densest Subgraph","display_name":"In Search of the Densest Subgraph","publication_year":2019,"publication_date":"2019-08-02","ids":{"openalex":"https://openalex.org/W2964670465","doi":"https://doi.org/10.3390/a12080157","mag":"2964670465"},"language":"en","primary_location":{"id":"doi:10.3390/a12080157","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a12080157","pdf_url":"https://www.mdpi.com/1999-4893/12/8/157/pdf?version=1564739308","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/12/8/157/pdf?version=1564739308","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009539372","display_name":"Andr\u00e1s Farag\u00f3","orcid":"https://orcid.org/0000-0001-8952-6946"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andr\u00e1s Farag\u00f3","raw_affiliation_strings":["Department of Computer Science, Erik Jonsson School of Engineering and Computer Science, The University of Texas at Dallas, P.O.B. 830688, MS-EC31, Richardson, TX 75080, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Erik Jonsson School of Engineering and Computer Science, The University of Texas at Dallas, P.O.B. 830688, MS-EC31, Richardson, TX 75080, USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075994296","display_name":"Zohre R. Mojaveri","orcid":"https://orcid.org/0000-0003-2170-8318"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zohre R. Mojaveri","raw_affiliation_strings":["Department of Computer Science, Erik Jonsson School of Engineering and Computer Science, The University of Texas at Dallas, P.O.B. 830688, MS-EC31, Richardson, TX 75080, USA"],"raw_orcid":"https://orcid.org/0000-0003-2170-8318","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Erik Jonsson School of Engineering and Computer Science, The University of Texas at Dallas, P.O.B. 830688, MS-EC31, Richardson, TX 75080, USA","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075994296"],"corresponding_institution_ids":["https://openalex.org/I162577319"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.9641,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.77960266,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"12","issue":"8","first_page":"157","last_page":"157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11476","display_name":"Graph theory and applications","score":0.9994000196456909,"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/computer-science","display_name":"Computer science","score":0.6926425695419312},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5991065502166748},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5689643621444702},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5128236413002014},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.4929637908935547},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.44677236676216125},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4325413107872009},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2484164834022522},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.16177934408187866},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06278350949287415}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6926425695419312},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5991065502166748},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5689643621444702},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5128236413002014},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.4929637908935547},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.44677236676216125},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4325413107872009},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2484164834022522},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.16177934408187866},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06278350949287415},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a12080157","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a12080157","pdf_url":"https://www.mdpi.com/1999-4893/12/8/157/pdf?version=1564739308","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ff3bd76d1a3344f5809d9f8115794070","is_oa":true,"landing_page_url":"https://doaj.org/article/ff3bd76d1a3344f5809d9f8115794070","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":"Algorithms, Vol 12, Iss 8, p 157 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/12/8/157/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/a12080157","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a12080157","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a12080157","pdf_url":"https://www.mdpi.com/1999-4893/12/8/157/pdf?version=1564739308","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2964670465.pdf","grobid_xml":"https://content.openalex.org/works/W2964670465.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W390146837","https://openalex.org/W1502940150","https://openalex.org/W1519679194","https://openalex.org/W1535144194","https://openalex.org/W1571257748","https://openalex.org/W1924929788","https://openalex.org/W1970871468","https://openalex.org/W1971010887","https://openalex.org/W1983103442","https://openalex.org/W2007940874","https://openalex.org/W2011039300","https://openalex.org/W2013469283","https://openalex.org/W2020742901","https://openalex.org/W2030365814","https://openalex.org/W2042803872","https://openalex.org/W2065641139","https://openalex.org/W2073025989","https://openalex.org/W2074465184","https://openalex.org/W2079522169","https://openalex.org/W2089247135","https://openalex.org/W2089417393","https://openalex.org/W2094224753","https://openalex.org/W2097844290","https://openalex.org/W2111007781","https://openalex.org/W2112575355","https://openalex.org/W2115659887","https://openalex.org/W2143076088","https://openalex.org/W2266714125","https://openalex.org/W2279278398","https://openalex.org/W2317565191","https://openalex.org/W2390869329","https://openalex.org/W2402507904","https://openalex.org/W2482182218","https://openalex.org/W2500775367","https://openalex.org/W2552383377","https://openalex.org/W2610183793","https://openalex.org/W2776104937","https://openalex.org/W2789011734","https://openalex.org/W2897763116","https://openalex.org/W2905110430","https://openalex.org/W2952763838","https://openalex.org/W3101796089","https://openalex.org/W3145896515","https://openalex.org/W4248776151","https://openalex.org/W4250699352","https://openalex.org/W6981012423"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4388258507","https://openalex.org/W2392013855","https://openalex.org/W4318064328","https://openalex.org/W2357926602","https://openalex.org/W3200517220","https://openalex.org/W2374569605","https://openalex.org/W2386062718","https://openalex.org/W4393047559","https://openalex.org/W2381068069"],"abstract_inverted_index":{"In":[0],"this":[1,53],"survey":[2],"paper,":[3],"we":[4],"review":[5],"various":[6],"concepts":[7],"of":[8,49,59,65,90],"graph":[9,50],"density,":[10],"as":[11,13],"well":[12],"associated":[14],"theorems":[15],"and":[16,72,87],"algorithms.":[17],"Our":[18],"goal":[19],"is":[20,30],"motivated":[21],"by":[22],"the":[23,57,80,85,88,91,101],"fact":[24],"that,":[25],"in":[26,79,100],"many":[27,69],"applications,":[28],"it":[29],"a":[31,37,66],"key":[32],"algorithmic":[33],"task":[34],"to":[35,45],"extract":[36],"densest":[38],"subgraph":[39],"from":[40],"an":[41],"input":[42],"graph,":[43],"according":[44],"some":[46,96],"appropriate":[47],"definition":[48],"density.":[51],"While":[52],"problem":[54],"has":[55],"been":[56],"subject":[58],"active":[60],"research":[61],"for":[62],"over":[63],"half":[64],"century,":[67],"with":[68],"proposed":[70],"variants":[71],"solutions,":[73],"new":[74],"results":[75],"still":[76],"continuously":[77],"emerge":[78],"literature.":[81],"This":[82],"shows":[83],"both":[84],"importance":[86],"richness":[89],"subject.":[92],"We":[93],"also":[94],"identify":[95],"interesting":[97],"open":[98],"problems":[99],"field.":[102]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
