{"id":"https://openalex.org/W7164360519","doi":"https://doi.org/10.1111/cgf.70433","title":"Noisy Graph Patterns via Ordered Matrices","display_name":"Noisy Graph Patterns via Ordered Matrices","publication_year":2026,"publication_date":"2026-06-11","ids":{"openalex":"https://openalex.org/W7164360519","doi":"https://doi.org/10.1111/cgf.70433"},"language":"en","primary_location":{"id":"doi:10.1111/cgf.70433","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.70433","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1111/cgf.70433","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022996610","display_name":"Jules Wulms","orcid":"https://orcid.org/0000-0002-9314-8260"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"J. Wulms","raw_affiliation_strings":["TU Eindhoven  The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-9314-8260","affiliations":[{"raw_affiliation_string":"TU Eindhoven  The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062614232","display_name":"Wouter Meulemans","orcid":"https://orcid.org/0000-0002-4978-3400"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"W. Meulemans","raw_affiliation_strings":["TU Eindhoven  The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-4978-3400","affiliations":[{"raw_affiliation_string":"TU Eindhoven  The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000420564","display_name":"Bettina Speckmann","orcid":"https://orcid.org/0000-0002-8514-7858"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"B. Speckmann","raw_affiliation_strings":["TU Eindhoven  The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-8514-7858","affiliations":[{"raw_affiliation_string":"TU Eindhoven  The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022996610","https://openalex.org/A5062614232"],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":{"value":3710,"currency":"USD","value_usd":3710},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.75086282,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.8079000115394592,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10799","display_name":"Data Visualization and Analytics","score":0.8079000115394592,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12292","display_name":"Graph Theory and Algorithms","score":0.09929999709129333,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10538","display_name":"Data Mining Algorithms and Applications","score":0.014999999664723873,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/adjacency-matrix","display_name":"Adjacency matrix","score":0.6543999910354614},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.5957000255584717},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.5569000244140625},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5367000102996826},{"id":"https://openalex.org/keywords/salient","display_name":"Salient","score":0.48019999265670776},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.4772000014781952},{"id":"https://openalex.org/keywords/graph-drawing","display_name":"Graph drawing","score":0.4246000051498413},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.3456000089645386},{"id":"https://openalex.org/keywords/graph-property","display_name":"Graph property","score":0.33250001072883606}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6884999871253967},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.6543999910354614},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.5957000255584717},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.5569000244140625},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5367000102996826},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.48669999837875366},{"id":"https://openalex.org/C2780719617","wikidata":"https://www.wikidata.org/wiki/Q1030752","display_name":"Salient","level":2,"score":0.48019999265670776},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.4772000014781952},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4666999876499176},{"id":"https://openalex.org/C112953755","wikidata":"https://www.wikidata.org/wiki/Q739462","display_name":"Graph drawing","level":3,"score":0.4246000051498413},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.3456000089645386},{"id":"https://openalex.org/C64339825","wikidata":"https://www.wikidata.org/wiki/Q722659","display_name":"Graph property","level":5,"score":0.33250001072883606},{"id":"https://openalex.org/C106937863","wikidata":"https://www.wikidata.org/wiki/Q7236518","display_name":"Power graph analysis","level":3,"score":0.32199999690055847},{"id":"https://openalex.org/C172367668","wikidata":"https://www.wikidata.org/wiki/Q6504956","display_name":"Data visualization","level":3,"score":0.319599986076355},{"id":"https://openalex.org/C2781170535","wikidata":"https://www.wikidata.org/wiki/Q30587856","display_name":"Noisy data","level":2,"score":0.30799999833106995},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.30000001192092896},{"id":"https://openalex.org/C2911174283","wikidata":"https://www.wikidata.org/wiki/Q739462","display_name":"Graph Layout","level":4,"score":0.2892000079154968},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.28200000524520874},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.2809000015258789},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.2752000093460083},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2736000120639801},{"id":"https://openalex.org/C558772884","wikidata":"https://www.wikidata.org/wiki/Q1508564","display_name":"Graph rewriting","level":3,"score":0.2660999894142151},{"id":"https://openalex.org/C17192189","wikidata":"https://www.wikidata.org/wiki/Q1347059","display_name":"Epigraph","level":2,"score":0.26269999146461487},{"id":"https://openalex.org/C160920958","wikidata":"https://www.wikidata.org/wiki/Q7662746","display_name":"Synthetic data","level":2,"score":0.2621999979019165},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.26010000705718994},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.25119999051094055},{"id":"https://openalex.org/C198414033","wikidata":"https://www.wikidata.org/wiki/Q5155607","display_name":"Comparability graph","level":5,"score":0.25049999356269836}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1111/cgf.70433","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.70433","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1111/cgf.70433","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.70433","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1964643735","https://openalex.org/W1966218348","https://openalex.org/W1971458834","https://openalex.org/W1985574637","https://openalex.org/W2037016941","https://openalex.org/W2051006653","https://openalex.org/W2054630393","https://openalex.org/W2106378689","https://openalex.org/W2109170454","https://openalex.org/W2128873679","https://openalex.org/W2155901243","https://openalex.org/W2161307069","https://openalex.org/W2166660524","https://openalex.org/W2412593044","https://openalex.org/W2468929674","https://openalex.org/W3099762921","https://openalex.org/W3101413764","https://openalex.org/W3203914472","https://openalex.org/W3210720948","https://openalex.org/W4402389463","https://openalex.org/W4416513245"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"The":[1],"high\u2010level":[2],"structure":[3,28],"of":[4,16,132,139,170],"a":[5,8,72,86,99,129,157],"graph":[6,23,100,113],"is":[7,29,44,71],"crucial":[9],"ingredient":[10],"for":[11,32,134],"the":[12,21,149,168],"analysis":[13],"and":[14,42,52,67,91,105,117,142],"visualization":[15],"relational":[17],"data.":[18],"However,":[19],"discovering":[20],"salient":[22],"patterns":[24,58,66,114,164],"that":[25,161],"form":[26],"this":[27,77],"notoriously":[30],"difficult":[31],"two":[33],"reasons.":[34],"(1)":[35],"Finding":[36],"important":[37],"patterns,":[38],"such":[39,135],"as":[40,85,101],"cliques":[41],"bicliques,":[43,116],"computationally":[45],"hard.":[46],"(2)":[47],"Real\u2010world":[48],"graphs":[49],"contain":[50],"noise,":[51],"therefore":[53],"do":[54],"not":[55],"always":[56],"exhibit":[57],"in":[59],"their":[60],"pure":[61],"form.":[62],"Defining":[63],"meaningful":[64],"noisy":[65,94,152,163],"detecting":[68],"them":[69],"efficiently":[70,147],"currently":[73],"unsolved":[74],"challenge.":[75],"In":[76],"paper,":[78],"we":[79,97,127],"propose":[80],"to":[81,88,121,146],"use":[82],"well\u2010ordered":[83],"matrices":[84],"tool":[87],"both":[89],"define":[90,128],"effectively":[92],"detect":[93],"patterns.":[95,136,153],"Specifically,":[96],"represent":[98],"its":[102],"adjacency":[103],"matrix":[104,150],"optimally":[106],"order":[107],"it":[108],"using":[109],"Moran's":[110,125],"I.":[111],"Standard":[112],"(cliques,":[115],"stars)":[118],"now":[119],"translate":[120],"rectangular":[122],"submatrices.":[123],"Using":[124],"I,":[126],"permitted":[130],"level":[131,169],"noise":[133],"A":[137],"combination":[138],"exact":[140],"algorithms":[141],"heuristics":[143],"allows":[144],"us":[145],"decompose":[148],"into":[151],"We":[154,172],"also":[155],"introduce":[156],"novel":[158],"motif":[159],"simplification":[160],"visualizes":[162],"while":[165],"explicitly":[166],"encoding":[167],"noise.":[171],"showcase":[173],"our":[174],"techniques":[175],"on":[176],"several":[177],"real\u2010world":[178],"data":[179],"sets.":[180]},"counts_by_year":[],"updated_date":"2026-06-12T06:25:57.316018","created_date":"2026-06-12T00:00:00"}