{"id":"https://openalex.org/W3014152008","doi":"https://doi.org/10.1017/s0963548321000560","title":"Subgraph densities in a surface","display_name":"Subgraph densities in a surface","publication_year":2022,"publication_date":"2022-01-11","ids":{"openalex":"https://openalex.org/W3014152008","doi":"https://doi.org/10.1017/s0963548321000560","mag":"3014152008"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548321000560","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548321000560","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2003.13777","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007554852","display_name":"Tony Huynh","orcid":"https://orcid.org/0000-0002-6908-923X"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tony Huynh","raw_affiliation_strings":["School of Mathematics, Monash University, Melbourne, Australia"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Monash University, Melbourne, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038947183","display_name":"Gwena\u00ebl Joret","orcid":"https://orcid.org/0000-0002-7157-6694"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Gwena\u00ebl Joret","raw_affiliation_strings":["D\u00e9partement d\u2019Informatique, Universit\u00e9 libre de Bruxelles, Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement d\u2019Informatique, Universit\u00e9 libre de Bruxelles, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066302647","display_name":"David R. Wood","orcid":"https://orcid.org/0000-0001-8866-3041"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"David R. Wood","raw_affiliation_strings":["School of Mathematics, Monash University, Melbourne, Australia"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Monash University, Melbourne, Australia","institution_ids":["https://openalex.org/I56590836"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066302647"],"corresponding_institution_ids":["https://openalex.org/I56590836"],"apc_list":null,"apc_paid":null,"fwci":2.2689,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.83870968,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"31","issue":"5","first_page":"812","last_page":"839"},"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":0.9993000030517578,"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":0.9984999895095825,"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/sigma","display_name":"Sigma","score":0.7016248106956482},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6895004510879517},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6223874092102051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5834143161773682},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.502732515335083},{"id":"https://openalex.org/keywords/factor-critical-graph","display_name":"Factor-critical graph","score":0.45816710591316223},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40068912506103516},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2321045994758606},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.22227352857589722},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.21032342314720154},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.050233423709869385}],"concepts":[{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.7016248106956482},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6895004510879517},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6223874092102051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5834143161773682},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.502732515335083},{"id":"https://openalex.org/C36038622","wikidata":"https://www.wikidata.org/wiki/Q5428703","display_name":"Factor-critical graph","level":5,"score":0.45816710591316223},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40068912506103516},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2321045994758606},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.22227352857589722},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.21032342314720154},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.050233423709869385}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1017/s0963548321000560","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548321000560","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2003.13777","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.13777","pdf_url":"https://arxiv.org/pdf/2003.13777","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3014152008","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2003.13777","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:dipot.ulb.ac.be:2013/335997","is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/335997","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Combinatorics, probability & computing, 31 (5","raw_type":"info:ulb-repo/semantics/openurl/article"},{"id":"pmh:oai:iris.uniroma1.it:11573/1705861","is_oa":false,"landing_page_url":"https://hdl.handle.net/11573/1705861","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2003.13777","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2003.13777","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2003.13777","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.13777","pdf_url":"https://arxiv.org/pdf/2003.13777","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":75,"referenced_works":["https://openalex.org/W273178449","https://openalex.org/W291464490","https://openalex.org/W594463866","https://openalex.org/W609188758","https://openalex.org/W788200807","https://openalex.org/W1512172501","https://openalex.org/W1512725763","https://openalex.org/W1533675320","https://openalex.org/W1546620433","https://openalex.org/W1555702583","https://openalex.org/W1626618407","https://openalex.org/W1944169290","https://openalex.org/W1972315252","https://openalex.org/W1975584774","https://openalex.org/W1985880617","https://openalex.org/W1985897248","https://openalex.org/W2011575706","https://openalex.org/W2015829893","https://openalex.org/W2016341899","https://openalex.org/W2017186918","https://openalex.org/W2030012922","https://openalex.org/W2035770249","https://openalex.org/W2047299499","https://openalex.org/W2049005199","https://openalex.org/W2055049645","https://openalex.org/W2060482148","https://openalex.org/W2062597318","https://openalex.org/W2073638763","https://openalex.org/W2074992286","https://openalex.org/W2078708206","https://openalex.org/W2081151465","https://openalex.org/W2087476827","https://openalex.org/W2087802694","https://openalex.org/W2089498177","https://openalex.org/W2090876161","https://openalex.org/W2098281668","https://openalex.org/W2110596924","https://openalex.org/W2111007781","https://openalex.org/W2142101067","https://openalex.org/W2163712938","https://openalex.org/W2166750439","https://openalex.org/W2227481267","https://openalex.org/W2323590783","https://openalex.org/W2530169693","https://openalex.org/W2792274933","https://openalex.org/W2803234700","https://openalex.org/W2892928329","https://openalex.org/W2896264327","https://openalex.org/W2951014529","https://openalex.org/W2962770462","https://openalex.org/W2962935088","https://openalex.org/W2963258153","https://openalex.org/W2963558300","https://openalex.org/W2963706738","https://openalex.org/W2963779710","https://openalex.org/W2963861976","https://openalex.org/W2963877135","https://openalex.org/W2963924109","https://openalex.org/W2976152149","https://openalex.org/W2978070439","https://openalex.org/W3006156235","https://openalex.org/W3007353884","https://openalex.org/W3080814325","https://openalex.org/W3088292866","https://openalex.org/W3099654277","https://openalex.org/W3103129013","https://openalex.org/W3124913715","https://openalex.org/W3128855366","https://openalex.org/W3131159232","https://openalex.org/W3178745238","https://openalex.org/W3212605836","https://openalex.org/W3214774009","https://openalex.org/W4319589071","https://openalex.org/W6692505916","https://openalex.org/W6746068646"],"related_works":["https://openalex.org/W2976152149","https://openalex.org/W2098281668","https://openalex.org/W1533675320","https://openalex.org/W291464490","https://openalex.org/W2089498177","https://openalex.org/W2074992286","https://openalex.org/W3006156235","https://openalex.org/W1994533463","https://openalex.org/W1979147290","https://openalex.org/W106273236","https://openalex.org/W3122201561","https://openalex.org/W2988745151","https://openalex.org/W2073268088","https://openalex.org/W3040336391","https://openalex.org/W2019930020","https://openalex.org/W2552059015","https://openalex.org/W2021777257","https://openalex.org/W3136470814","https://openalex.org/W1276720355","https://openalex.org/W3003340671"],"abstract_inverted_index":{"Abstract":[0],"Given":[1],"a":[2,9,47,93,122,137],"fixed":[3],"graph":[4,26,48,111,123,139],"H":[5,21,44,54,91,104,119,131,135],"that":[6,28,35],"embeds":[7,29],"in":[8,22,30,105],"surface":[10],"$\\Sigma$":[11,31,60],",":[12,40,55,115],"what":[13],"is":[14,38,46,57,92,113,121,136],"the":[15,36,51,83,98,128],"maximum":[16,99],"number":[17,100],"of":[18,20,53,59,101,103,130],"copies":[19,102],"an":[23,106],"n":[24,107],"-vertex":[25,108],"G":[27,112],"?":[32],"We":[33],"show":[34],"answer":[37],"$\\Theta(n^{f(H)})$":[39],"where":[41,116],"f":[42,117],"(":[43],")":[45,120],"invariant":[49,124],"called":[50],"\u2018flap-number\u2019":[52],"which":[56],"independent":[58],".":[61,132],"This":[62],"simultaneously":[63],"answers":[64,82],"two":[65],"open":[66],"problems":[67],"posed":[68],"by":[69],"Eppstein":[70],"((1993)":[71],"J.":[72],"Graph":[73],"Theory":[74],"17":[75],"(3)":[76],"409\u2013416.).":[77],"The":[78],"same":[79],"proof":[80],"also":[81],"question":[84],"for":[85],"minor-closed":[86],"classes.":[87],"That":[88],"is,":[89],"if":[90],"$K_{3,t}$":[94,109],"minor-free":[95,110],"graph,":[96],"then":[97],"$\\Theta(n^{f'(H)})$":[114],"\u2032(":[118],"closely":[125],"related":[126],"to":[127],"flap-number":[129],"Finally,":[133],"when":[134],"complete":[138],"we":[140],"give":[141],"more":[142],"precise":[143],"answers.":[144]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
