{"id":"https://openalex.org/W2032334502","doi":"https://doi.org/10.1137/0601015","title":"Random Walks on A 600-Cell","display_name":"Random Walks on A 600-Cell","publication_year":1980,"publication_date":"1980-03-01","ids":{"openalex":"https://openalex.org/W2032334502","doi":"https://doi.org/10.1137/0601015","mag":"2032334502"},"language":"en","primary_location":{"id":"doi:10.1137/0601015","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0601015","pdf_url":null,"source":{"id":"https://openalex.org/S4210191297","display_name":"SIAM Journal on Algebraic and Discrete Methods","issn_l":"0196-5212","issn":["0196-5212","2168-345X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Algebraic Discrete Methods","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/A5106419952","display_name":"G\u00e9rard Letac","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"G\u00e9rard Letac","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5104053379","display_name":"Lajos Tak\u00e1cs","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lajos Tak\u00e1cs","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5106419952"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8729,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.89727127,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":"1","first_page":"114","last_page":"120"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9926000237464905,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9926000237464905,"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/T12029","display_name":"DNA and Biological Computing","score":0.9894999861717224,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9836999773979187,"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/random-walk","display_name":"Random walk","score":0.8431243896484375},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7546175718307495},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7474812865257263},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7234031558036804},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3590574860572815},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.16257119178771973},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15288054943084717}],"concepts":[{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.8431243896484375},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7546175718307495},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7474812865257263},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7234031558036804},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3590574860572815},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.16257119178771973},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15288054943084717}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0601015","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0601015","pdf_url":null,"source":{"id":"https://openalex.org/S4210191297","display_name":"SIAM Journal on Algebraic and Discrete Methods","issn_l":"0196-5212","issn":["0196-5212","2168-345X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Algebraic Discrete Methods","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":3,"referenced_works":["https://openalex.org/W1810549944","https://openalex.org/W2009580398","https://openalex.org/W2466712587"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"In":[0,43,62],"a":[1,8,14,24,36],"series":[2],"of":[3,13,32,80],"random":[4,39],"walks":[5],"(random":[6],"flights)":[7],"traveler":[9,21,71],"visits":[10],"the":[11,33,41,46,52,55,59,67,70,74,78,81],"vertices":[12],"600-cell":[15],"(a":[16],"four-imensional":[17],"regular":[18],"polytope).":[19],"The":[20],"starts":[22],"at":[23,38,77],"given":[25],"vertex":[26,37,57],"and":[27,58],"in":[28],"each":[29,44],"walk,":[30],"independently":[31],"others,":[34],"chooses":[35],"as":[40],"destination.":[42],"walk":[45],"transition":[47],"probability":[48,68],"depends":[49],"only":[50],"on":[51],"distance":[53],"between":[54],"starting":[56],"end":[60,79],"vertex.":[61],"this":[63],"paper":[64],"we":[65],"determine":[66],"that":[69],"returns":[72],"to":[73],"initial":[75],"position":[76],"nth":[82],"walk.":[83]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}