{"id":"https://openalex.org/W2808268686","doi":"https://doi.org/10.1137/090749621","title":"Algorithmic Aspects of Property Testing in the Dense Graphs Model","display_name":"Algorithmic Aspects of Property Testing in the Dense Graphs Model","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2808268686","doi":"https://doi.org/10.1137/090749621","mag":"2808268686"},"language":"en","primary_location":{"id":"doi:10.1137/090749621","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090749621","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-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/A5013698877","display_name":"Oded Goldreich","orcid":"https://orcid.org/0000-0002-4329-135X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Oded Goldreich","raw_affiliation_strings":["oded.goldreich@weizmann.ac.il#TAB#"],"affiliations":[{"raw_affiliation_string":"oded.goldreich@weizmann.ac.il#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063746987","display_name":"Dana Ron","orcid":"https://orcid.org/0000-0001-6576-7200"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dana Ron","raw_affiliation_strings":["danar@eng.tau.ac.il#TAB#"],"affiliations":[{"raw_affiliation_string":"danar@eng.tau.ac.il#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013698877"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8831,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.86415355,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"40","issue":"2","first_page":"376","last_page":"445"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","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/T10720","display_name":"Complexity and Algorithms in Graphs","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/T12072","display_name":"Machine Learning and Algorithms","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/property-testing","display_name":"Property testing","score":0.8763508796691895},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5794664025306702},{"id":"https://openalex.org/keywords/contrast","display_name":"Contrast (vision)","score":0.5289342999458313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.51167893409729},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.511258602142334},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.505165159702301},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.5048347115516663},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.4923139810562134},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4904591739177704},{"id":"https://openalex.org/keywords/testability","display_name":"Testability","score":0.4821452796459198},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46280378103256226},{"id":"https://openalex.org/keywords/graph-property","display_name":"Graph property","score":0.44316336512565613},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4373512864112854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4256075620651245},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14320430159568787},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.13731449842453003}],"concepts":[{"id":"https://openalex.org/C123842658","wikidata":"https://www.wikidata.org/wiki/Q2918980","display_name":"Property testing","level":2,"score":0.8763508796691895},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5794664025306702},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.5289342999458313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.51167893409729},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.511258602142334},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.505165159702301},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.5048347115516663},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.4923139810562134},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4904591739177704},{"id":"https://openalex.org/C51234621","wikidata":"https://www.wikidata.org/wiki/Q2149495","display_name":"Testability","level":2,"score":0.4821452796459198},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46280378103256226},{"id":"https://openalex.org/C64339825","wikidata":"https://www.wikidata.org/wiki/Q722659","display_name":"Graph property","level":5,"score":0.44316336512565613},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4373512864112854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4256075620651245},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14320430159568787},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.13731449842453003},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/090749621","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090749621","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1965109958","https://openalex.org/W1970630090","https://openalex.org/W1980816908","https://openalex.org/W1986130900","https://openalex.org/W1999617330","https://openalex.org/W2010699490","https://openalex.org/W2016443407","https://openalex.org/W2018925011","https://openalex.org/W2032083353","https://openalex.org/W2051880745","https://openalex.org/W2075723156","https://openalex.org/W2115458940","https://openalex.org/W2144475416","https://openalex.org/W2161620758","https://openalex.org/W3008660429","https://openalex.org/W4241342151"],"related_works":["https://openalex.org/W2000352218","https://openalex.org/W2077926062","https://openalex.org/W2081426440","https://openalex.org/W176587169","https://openalex.org/W2012797687","https://openalex.org/W1968752573","https://openalex.org/W2148336723","https://openalex.org/W1499086829","https://openalex.org/W3089932723","https://openalex.org/W2808268686"],"abstract_inverted_index":{"In":[0,109],"this":[1,64],"paper":[2],"we":[3],"consider":[4],"two":[5],"basic":[6],"questions":[7,56],"regarding":[8],"the":[9,17,26,34,47,58,78,131,137,141],"query":[10],"complexity":[11,41,79],"of":[12,54,60,68,80,152],"testing":[13],"graph":[14,90,114],"properties":[15,115,138],"in":[16,63,130,140],"adjacency":[18],"matrix":[19],"model.":[20,65],"The":[21,52,66],"first":[22],"question":[23,36],"refers":[24,37],"to":[25,38,46],"relation":[27],"between":[28,77],"adaptive":[29,81,98,132],"and":[30,82],"nonadaptive":[31,83,106,122],"testers,":[32],"whereas":[33,124],"second":[35],"testability":[39],"within":[40],"that":[42,92,116,136],"is":[43],"inversely":[44],"proportional":[45],"proximity":[48],"parameter,":[49],"denoted":[50],"$\\epsilon$.":[51],"study":[53,70],"these":[55],"reveals":[57],"importance":[59],"algorithmic":[61],"design":[62],"highlights":[67],"our":[69],"are":[71,127,151],"as":[72],"follows:":[73],"(a)":[74],"A":[75],"gap":[76],"testers.":[84],"Specifically,":[85],"there":[86,111],"exists":[87],"a":[88,146],"natural":[89,113],"property":[91],"can":[93,117],"be":[94,102,118],"tested":[95,103,119],"using":[96,104,120],"$\\widetilde{O}(\\epsilon^{-1})$":[97,121],"queries":[99,126],"but":[100],"cannot":[101],"$o(\\epsilon^{-3/2})$":[105],"queries.":[107],"(b)":[108],"contrast,":[110],"exist":[112],"queries,":[123],"$\\Omega(\\epsilon^{-1})$":[125],"required":[128],"even":[129],"case.":[133],"We":[134],"mention":[135],"used":[139],"foregoing":[142],"conflicting":[143],"results":[144],"have":[145],"similar":[147],"flavor,":[148],"although":[149],"they":[150],"course":[153],"different.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}