{"id":"https://openalex.org/W1616865495","doi":"https://doi.org/10.1017/s0963548313000552","title":"Greedy Random Walk","display_name":"Greedy Random Walk","publication_year":2013,"publication_date":"2013-11-20","ids":{"openalex":"https://openalex.org/W1616865495","doi":"https://doi.org/10.1017/s0963548313000552","mag":"1616865495"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548313000552","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548313000552","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":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1101.5711","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"TAL ORENSHTEIN","orcid":null},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"TAL ORENSHTEIN","raw_affiliation_strings":["Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel (e-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel (e-mail:","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"last","author":{"id":null,"display_name":"IGOR SHINKAR","orcid":null},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"IGOR SHINKAR","raw_affiliation_strings":["Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel (e-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel (e-mail:","institution_ids":["https://openalex.org/I53964585"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I53964585"],"apc_list":null,"apc_paid":null,"fwci":0.4595,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.57642466,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"23","issue":"2","first_page":"269","last_page":"289"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.6808000206947327,"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":0.6808000206947327,"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/T13187","display_name":"Diffusion and Search Dynamics","score":0.05810000002384186,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.05620000138878822,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.589900016784668},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.5849000215530396},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5328999757766724},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.5030999779701233},{"id":"https://openalex.org/keywords/random-walker-algorithm","display_name":"Random walker algorithm","score":0.4880000054836273},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.47279998660087585},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.4341999888420105},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.41749998927116394}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7425000071525574},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6773999929428101},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.589900016784668},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.5849000215530396},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5328999757766724},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.5030999779701233},{"id":"https://openalex.org/C105045736","wikidata":"https://www.wikidata.org/wiki/Q7292002","display_name":"Random walker algorithm","level":3,"score":0.4880000054836273},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.47279998660087585},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47269999980926514},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.4341999888420105},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.41749998927116394},{"id":"https://openalex.org/C17762858","wikidata":"https://www.wikidata.org/wiki/Q594001","display_name":"Edge cover","level":3,"score":0.37070000171661377},{"id":"https://openalex.org/C37727645","wikidata":"https://www.wikidata.org/wiki/Q6675770","display_name":"Loop-erased random walk","level":4,"score":0.3531999886035919},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.335999995470047},{"id":"https://openalex.org/C200985842","wikidata":"https://www.wikidata.org/wiki/Q3375503","display_name":"Random permutation","level":3,"score":0.30329999327659607},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.29409998655319214},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.27630001306533813},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.27399998903274536},{"id":"https://openalex.org/C154547637","wikidata":"https://www.wikidata.org/wiki/Q776602","display_name":"Expander graph","level":3,"score":0.27309998869895935},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.27149999141693115},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2694999873638153},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.2644999921321869},{"id":"https://openalex.org/C154072304","wikidata":"https://www.wikidata.org/wiki/Q5747218","display_name":"Heterogeneous random walk in one dimension","level":3,"score":0.26339998841285706},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.2605000138282776}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0963548313000552","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548313000552","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:1101.5711","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1101.5711","pdf_url":"https://arxiv.org/pdf/1101.5711","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":"pmh:oai:boa.unimib.it:10281/362295","is_oa":false,"landing_page_url":"http://hdl.handle.net/10281/362295","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1101.5711","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1101.5711","pdf_url":"https://arxiv.org/pdf/1101.5711","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W390146837","https://openalex.org/W1490227078","https://openalex.org/W1971599265","https://openalex.org/W2004887104","https://openalex.org/W2007625773","https://openalex.org/W2018047324","https://openalex.org/W2048353762","https://openalex.org/W2056756564","https://openalex.org/W2059959102","https://openalex.org/W2065884616","https://openalex.org/W2076256087","https://openalex.org/W2090081488","https://openalex.org/W2090160477","https://openalex.org/W2145037371","https://openalex.org/W2148142649","https://openalex.org/W2156184725","https://openalex.org/W2163459627","https://openalex.org/W2170807097","https://openalex.org/W4246933290"],"related_works":[],"abstract_inverted_index":{"We":[0,106,150],"study":[1],"a":[2],"discrete":[3],"time":[4,25,113],"self-interacting":[5],"random":[6,14,117],"process":[7],"on":[8],"graphs,":[9],"which":[10],"we":[11],"call":[12],"greedy":[13,116],"walk.":[15],"The":[16],"walker":[17,98],"is":[18,88,119,155],"located":[19],"initially":[20],"at":[21,52,91],"some":[22,53,70],"vertex.":[23,105],"As":[24],"evolves,":[26],"each":[27,47],"vertex":[28],"maintains":[29],"the":[30,44,49,60,77,97,103,109,115,122,137,147],"set":[31],"of":[32,114,124,130,133,143],"adjacent":[33,57,78,86],"edges":[34,61,79,125],"touching":[35],"it":[36,101],"that":[37,62,108,153],"have":[38,63,80],"not":[39,64],"yet":[40],"been":[41,82],"crossed":[42],"by":[43],"walker.":[45],"At":[46],"step,":[48],"walker,":[50],"being":[51],"vertex,":[54],"picks":[55],"an":[56,85,95],"edge":[58,87,96,111],"among":[59],"traversed":[65],"thus":[66],"far":[67],"according":[68],"to":[69,102],"(deterministic":[71],"or":[72],"randomized)":[73],"rule.":[74],"If":[75],"all":[76,160],"already":[81],"traversed,":[83],"then":[84],"chosen":[89],"uniformly":[90],"random.":[92],"After":[93],"picking":[94],"jumps":[99],"along":[100],"neighbouring":[104],"show":[107,152],"expected":[110],"cover":[112],"walk":[118],"linear":[120],"in":[121,157],"number":[123],"for":[126,159],"certain":[127],"natural":[128],"families":[129],"graphs.":[131],"Examples":[132],"such":[134],"graphs":[135],"include":[136],"complete":[138],"graph,":[139],"even":[140],"degree":[141],"expanders":[142],"logarithmic":[144],"girth,":[145],"and":[146],"hypercube":[148],"graph.":[149],"also":[151],"GRW":[154],"transient":[156],"$\\mathbb{Z}^d$":[158],"d":[161],"\u2265":[162],"3.":[163]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}