{"id":"https://openalex.org/W2106827195","doi":"https://doi.org/10.37236/3275","title":"Random Walks on Quasirandom Graphs","display_name":"Random Walks on Quasirandom Graphs","publication_year":2013,"publication_date":"2013-11-29","ids":{"openalex":"https://openalex.org/W2106827195","doi":"https://doi.org/10.37236/3275","mag":"2106827195"},"language":"en","primary_location":{"id":"doi:10.37236/3275","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3275","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i4p25/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i4p25/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066595975","display_name":"Ben Barber","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Ben Barber","raw_affiliation_strings":["University of Cambridge","School of Mathematics"],"affiliations":[{"raw_affiliation_string":"University of Cambridge","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"School of Mathematics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028701657","display_name":"Eoin Long","orcid":"https://orcid.org/0000-0002-0458-6825"},"institutions":[{"id":"https://openalex.org/I166337079","display_name":"Queen Mary University of London","ror":"https://ror.org/026zzn846","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I166337079"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Eoin Long","raw_affiliation_strings":["Queen Mary, University of London","School of Mathematical Sciences, Queen Mary, University of London"],"affiliations":[{"raw_affiliation_string":"Queen Mary, University of London","institution_ids":["https://openalex.org/I166337079"]},{"raw_affiliation_string":"School of Mathematical Sciences, Queen Mary, University of London","institution_ids":["https://openalex.org/I166337079"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066595975"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":null,"apc_paid":null,"fwci":1.6911,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82106118,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"4","first_page":null,"last_page":null},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11476","display_name":"Graph theory and applications","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9990000128746033,"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/combinatorics","display_name":"Combinatorics","score":0.8431569337844849},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8109538555145264},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.6674565672874451},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5601036548614502},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.5493178963661194},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5103849768638611},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.04931998252868652}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8431569337844849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8109538555145264},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.6674565672874451},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5601036548614502},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.5493178963661194},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5103849768638611},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.04931998252868652}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.37236/3275","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3275","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i4p25/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire/6b829739-c9c1-4cfd-82b0-693fecafc67f","is_oa":true,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/6b829739-c9c1-4cfd-82b0-693fecafc67f","pdf_url":"https://research-information.bris.ac.uk/ws/files/80890931/3275_8649_1_PB.pdf","source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"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":"Barber, B & Long, E 2013, 'Random walks on quasirandom graphs', Electronic Journal of Combinatorics, vol. 20, no. 4, 25. < http://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i4p25 >","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:research-information.bris.ac.uk:publications/6b829739-c9c1-4cfd-82b0-693fecafc67f","is_oa":true,"landing_page_url":"https://hdl.handle.net/1983/6b829739-c9c1-4cfd-82b0-693fecafc67f","pdf_url":"http://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i4p25","source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.763.6069","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.763.6069","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1211.3296.pdf","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/5ffa5b00-c4ed-4e40-af53-eeb274c86f41","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/5ffa5b00-c4ed-4e40-af53-eeb274c86f41","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"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":"Barber, B & Long, E 2013, 'Random walks on quasirandom graphs', Electronic Journal of Combinatorics, vol. 20, no. 4, P25. < https://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i4p25/pdf >","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/ca0e460f-8809-4493-ad33-1047a3f09e2a","is_oa":true,"landing_page_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i4p25","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"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":"Barber, B & Long, E 2013, 'Random walks on quasirandom graphs', The Electronic Journal of Combinatorics. < https://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i4p25 >","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:publications/5ffa5b00-c4ed-4e40-af53-eeb274c86f41","is_oa":false,"landing_page_url":"https://www.research.manchester.ac.uk/portal/en/publications/random-walks-on-quasirandom-graphs(5ffa5b00-c4ed-4e40-af53-eeb274c86f41).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.37236/3275","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3275","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i4p25/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320339","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2106827195.pdf","grobid_xml":"https://content.openalex.org/works/W2106827195.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W1600293573","https://openalex.org/W1639593279","https://openalex.org/W1973286131","https://openalex.org/W1984697505","https://openalex.org/W2068871408","https://openalex.org/W2072211488","https://openalex.org/W2319000796","https://openalex.org/W2471517265","https://openalex.org/W2901284226","https://openalex.org/W4210634265","https://openalex.org/W6636021564"],"related_works":["https://openalex.org/W1597743604","https://openalex.org/W2038723108","https://openalex.org/W2033630974","https://openalex.org/W2325737604","https://openalex.org/W4245069437","https://openalex.org/W2042537860","https://openalex.org/W4297449606","https://openalex.org/W2382333285","https://openalex.org/W2084194111","https://openalex.org/W2963287622"],"abstract_inverted_index":{"Let":[0],"$G$":[1,17],"be":[2,12],"a":[3,13,31,52,61],"quasirandom":[4,32],"graph":[5],"on":[6,16],"$n$":[7],"vertices,":[8],"and":[9,42],"let":[10],"$W$":[11,29],"random":[14,65],"walk":[15],"of":[18,25,67],"length":[19],"$\\alpha":[20],"n^2$.":[21],"Must":[22],"the":[23],"set":[24],"edges":[26],"traversed":[27],"by":[28,38],"form":[30],"graph?":[33],"This":[34],"question":[35],"was":[36],"asked":[37],"B\u00f6ttcher,":[39],"Hladk\u00fd,":[40],"Piguet":[41],"Taraz.":[43],"Our":[44],"aim":[45],"in":[46],"this":[47,56],"paper":[48],"is":[49],"to":[50,55],"give":[51],"positive":[53],"answer":[54],"question.":[57],"We":[58],"also":[59],"prove":[60],"similar":[62],"result":[63],"for":[64],"embeddings":[66],"trees.":[68]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}