{"id":"https://openalex.org/W2046691122","doi":"https://doi.org/10.1137/100794419","title":"Subgraphs of Weakly Quasi-Random Oriented Graphs","display_name":"Subgraphs of Weakly Quasi-Random Oriented Graphs","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2046691122","doi":"https://doi.org/10.1137/100794419","mag":"2046691122"},"language":"en","primary_location":{"id":"doi:10.1137/100794419","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100794419","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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 Discrete Mathematics","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/A5009621249","display_name":"Omid Amini","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Omid Amini","raw_affiliation_strings":["oamini@dma.ens.fr#TAB#"],"affiliations":[{"raw_affiliation_string":"oamini@dma.ens.fr#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077696461","display_name":"Simon Griffiths","orcid":"https://orcid.org/0000-0003-2435-7963"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Simon Griffiths","raw_affiliation_strings":["sgriff@cs.mcgill.ca#TAB#"],"affiliations":[{"raw_affiliation_string":"sgriff@cs.mcgill.ca#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063510852","display_name":"Florian Huc","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Florian Huc","raw_affiliation_strings":["florian.huc@unige.ch#TAB#"],"affiliations":[{"raw_affiliation_string":"florian.huc@unige.ch#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009621249"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9072,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69508623,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"25","issue":"1","first_page":"234","last_page":"259"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9983999729156494,"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":0.9962000250816345,"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/mathematics","display_name":"Mathematics","score":0.7885940074920654},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7546064257621765},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6906254887580872},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.5777894258499146},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5166804790496826},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5108184814453125},{"id":"https://openalex.org/keywords/extremal-graph-theory","display_name":"Extremal graph theory","score":0.5068944096565247},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49431443214416504},{"id":"https://openalex.org/keywords/extremal-combinatorics","display_name":"Extremal combinatorics","score":0.4377361834049225},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.42948079109191895},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.15252476930618286},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.09479132294654846},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08525416254997253}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7885940074920654},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7546064257621765},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6906254887580872},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.5777894258499146},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5166804790496826},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5108184814453125},{"id":"https://openalex.org/C12595997","wikidata":"https://www.wikidata.org/wiki/Q739245","display_name":"Extremal graph theory","level":5,"score":0.5068944096565247},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49431443214416504},{"id":"https://openalex.org/C549619432","wikidata":"https://www.wikidata.org/wiki/Q5422299","display_name":"Extremal combinatorics","level":2,"score":0.4377361834049225},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.42948079109191895},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.15252476930618286},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.09479132294654846},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08525416254997253},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/100794419","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100794419","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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 Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W23397926","https://openalex.org/W64270857","https://openalex.org/W111038805","https://openalex.org/W115873615","https://openalex.org/W788200807","https://openalex.org/W830168149","https://openalex.org/W1022649828","https://openalex.org/W1518503060","https://openalex.org/W1595409123","https://openalex.org/W1983809492","https://openalex.org/W1987996179","https://openalex.org/W2007044730","https://openalex.org/W2042587503","https://openalex.org/W2057788827","https://openalex.org/W2061854402","https://openalex.org/W2066050841","https://openalex.org/W2069699650","https://openalex.org/W2082236154","https://openalex.org/W2090798615","https://openalex.org/W2110805362","https://openalex.org/W2146370911","https://openalex.org/W2798588639","https://openalex.org/W2899702797","https://openalex.org/W2901284226","https://openalex.org/W2905110430","https://openalex.org/W3030488835","https://openalex.org/W3143219376"],"related_works":["https://openalex.org/W2935028240","https://openalex.org/W265966088","https://openalex.org/W1629966990","https://openalex.org/W2093480133","https://openalex.org/W3004234532","https://openalex.org/W3146129092","https://openalex.org/W2282824953","https://openalex.org/W2301495908","https://openalex.org/W4299647868","https://openalex.org/W3034671197"],"abstract_inverted_index":{"It":[0],"is":[1,50,97,112,136,155,169,173,186,199],"an":[2,15,44,98,156,196],"intriguing":[3],"question":[4,37,75,181],"to":[5,140,203],"see":[6],"what":[7],"kind":[8],"of":[9,14,47,57,71,87,90,212],"information":[10],"on":[11,83,134,188],"the":[12,39,55,68,84,88,93,103,141,151,165,178,189],"structure":[13],"oriented":[16,29,77,99,108,157,190],"graph":[17,30,109,191],"D":[18,23,168],"one":[19],"can":[20],"obtain":[21],"if":[22],"does":[24],"not":[25],"contain":[26],"a":[27,33,73,113,126,147,160,204,210],"fixed":[28],"H":[31,96,154,172],"as":[32],"subgraph.":[34],"The":[35],"related":[36,179,213],"in":[38,54,105,164,182],"unoriented":[40],"case":[41,94,152,166],"has":[42],"been":[43],"active":[45],"area":[46],"research":[48],"and":[49,60,79,121,159,171,193,215],"relatively":[51],"well":[52],"understood":[53],"theory":[56],"quasi-random":[58],"graphs":[59,78],"extremal":[61,180],"combinatorics.":[62],"In":[63,143],"this":[64,132],"paper,":[65],"we":[66,101,145,194,208],"consider":[67,177],"simplest":[69],"cases":[70],"such":[72,117],"general":[74],"for":[76,150],"provide":[80,195],"some":[81],"results":[82],"global":[85],"behavior":[86],"orientation":[89],"D.":[91],"For":[92],"where":[95,153,167],"four-cycle":[100],"prove":[102,146],"following:":[104],"every":[106],"H-free":[107],"D,":[110,192],"there":[111],"pair":[114],"$A,B\\subseteq":[115],"V(D)$":[116],"that":[118,131,198],"$e(A,B)\\geq":[119],"e(D)^{2}/32|D|^{2}$":[120],"$e(B,A)\\leq":[122],"e(A,B)/2$.":[123],"We":[124,175],"give":[125],"random":[127],"construction":[128],"which":[129,183],"shows":[130],"bound":[133],"$e(A,B)$":[135],"best":[137,200],"possible":[138,201],"(up":[139],"constant).":[142],"addition,":[144],"similar":[148],"result":[149,163],"six-cycle":[158],"more":[161],"precise":[162],"dense":[170],"arbitrary.":[174],"also":[176],"no":[184],"condition":[185],"put":[187],"answer":[197],"up":[202],"multiplicative":[205],"constant.":[206],"Finally,":[207],"raise":[209],"number":[211],"questions":[214],"conjectures.":[216]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
