{"id":"https://openalex.org/W2043693520","doi":"https://doi.org/10.1002/(sici)1098-2418(199607)8:4<301::aid-rsa2>3.0.co;2-1","title":"Random walks on random simple graphs","display_name":"Random walks on random simple graphs","publication_year":1996,"publication_date":"1996-07-01","ids":{"openalex":"https://openalex.org/W2043693520","doi":"https://doi.org/10.1002/(sici)1098-2418(199607)8:4<301::aid-rsa2>3.0.co;2-1","mag":"2043693520"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1098-2418(199607)8:4<301::aid-rsa2>3.0.co;2-1","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1098-2418(199607)8:4<301::aid-rsa2>3.0.co;2-1","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures and Algorithms","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/A5075020092","display_name":"Martin Hildebrand","orcid":"https://orcid.org/0009-0001-8832-512X"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Martin Hildebrand","raw_affiliation_strings":["Department of Mathematics, The University of Texas at Austin, Austin, TX 78712"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Texas at Austin, Austin, TX 78712","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075020092"],"corresponding_institution_ids":["https://openalex.org/I86519309"],"apc_list":{"value":4550,"currency":"USD","value_usd":4550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.19725976,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"8","issue":"4","first_page":"301","last_page":"318"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9966999888420105,"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":0.9958000183105469,"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":0.7514278888702393},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.7374446392059326},{"id":"https://openalex.org/keywords/random-regular-graph","display_name":"Random regular graph","score":0.7296781539916992},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.7078847289085388},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6242011189460754},{"id":"https://openalex.org/keywords/simple-random-sample","display_name":"Simple random sample","score":0.6080805063247681},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.605129063129425},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5429600477218628},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4683845341205597},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.43192532658576965},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.23495405912399292},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.2211083471775055},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12269771099090576}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7514278888702393},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.7374446392059326},{"id":"https://openalex.org/C4255713","wikidata":"https://www.wikidata.org/wiki/Q7291988","display_name":"Random regular graph","level":5,"score":0.7296781539916992},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.7078847289085388},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6242011189460754},{"id":"https://openalex.org/C20353970","wikidata":"https://www.wikidata.org/wiki/Q1056998","display_name":"Simple random sample","level":3,"score":0.6080805063247681},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.605129063129425},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5429600477218628},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4683845341205597},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43192532658576965},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.23495405912399292},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.2211083471775055},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12269771099090576},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1098-2418(199607)8:4<301::aid-rsa2>3.0.co;2-1","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1098-2418(199607)8:4<301::aid-rsa2>3.0.co;2-1","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures and Algorithms","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":0,"referenced_works":[],"related_works":["https://openalex.org/W1967715387","https://openalex.org/W2012853908","https://openalex.org/W2092565550","https://openalex.org/W2170524605","https://openalex.org/W365256087","https://openalex.org/W3130470475","https://openalex.org/W3102921333","https://openalex.org/W2071911310","https://openalex.org/W2610630562","https://openalex.org/W2963998228"],"abstract_inverted_index":{"This":[0,17,82],"paper":[1,18,56,83],"looks":[2],"at":[3,39],"random":[4,12,67,90],"regular":[5],"simple":[6],"graphs":[7],"and":[8,42],"considers":[9,19],"nearest":[10],"neighbor":[11],"walks":[13,20],"on":[14],"such":[15,61],"graphs.":[16],"where":[21,32,43,94],"the":[22,46,63,66,89],"degree":[23],"d":[24,80],"of":[25,48,53,65],"each":[26],"vertex":[27],"is":[28,34,38,45],"around":[29],"(log":[30],"n)a":[31],"a":[33,35],"constant":[36],"which":[37],"least":[40],"2":[41],"n":[44],"number":[47],"vertices.":[49],"By":[50],"extending":[51],"techniques":[52],"Dou,":[54],"this":[55],"shows":[57],"that":[58],"for":[59,88],"most":[60],"graphs,":[62],"position":[64],"walk":[68],"becomes":[69],"close":[70],"to":[71],"uniformly":[72],"distributed":[73],"after":[74],"slightly":[75],"more":[76],"than":[77],"log":[78],"n/log":[79],"steps.":[81],"also":[84],"gets":[85],"similar":[86],"results":[87],"graph":[91],"G(n,":[92],"p),":[93],"p":[95],"=":[96],"d/(n":[97],"\u2212":[98],"1).":[99],"\u00a9":[100],"1996":[101],"John":[102],"Wiley":[103],"&":[104],"Sons,":[105],"Inc.":[106]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}