{"id":"https://openalex.org/W1632612563","doi":"https://doi.org/10.37236/1119","title":"Restricted Walks in Regular Trees","display_name":"Restricted Walks in Regular Trees","publication_year":2006,"publication_date":"2006-10-27","ids":{"openalex":"https://openalex.org/W1632612563","doi":"https://doi.org/10.37236/1119","mag":"1632612563"},"language":"en","primary_location":{"id":"doi:10.37236/1119","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1119","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1r93/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/v13i1r93/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053079086","display_name":"Laura Ciobanu","orcid":"https://orcid.org/0000-0002-9451-1471"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Laura Ciobanu","raw_affiliation_strings":["University of Auckland"],"affiliations":[{"raw_affiliation_string":"University of Auckland","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004299311","display_name":"Sa\u0161a Radomirovi\u0107","orcid":"https://orcid.org/0000-0001-5285-2297"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sa\u0161a Radomirovi\u0107","raw_affiliation_strings":["Computer Science"],"affiliations":[{"raw_affiliation_string":"Computer Science","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053079086"],"corresponding_institution_ids":["https://openalex.org/I154130895"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.06818483,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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":0.9993000030517578,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.996999979019165,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8609288930892944},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7752547264099121},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.7502251267433167},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4887537956237793},{"id":"https://openalex.org/keywords/finitely-generated-abelian-group","display_name":"Finitely-generated abelian group","score":0.43706992268562317},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.396114706993103}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8609288930892944},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7752547264099121},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.7502251267433167},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4887537956237793},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.43706992268562317},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.396114706993103}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.37236/1119","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1119","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1r93/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:discovery.dundee.ac.uk:openaire/20a8fac3-2792-4d40-8938-02354db280b0","is_oa":true,"landing_page_url":"https://discovery.dundee.ac.uk/en/publications/20a8fac3-2792-4d40-8938-02354db280b0","pdf_url":null,"source":{"id":"https://openalex.org/S4306400523","display_name":"Discovery Research Portal (University of Dundee)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177639307","host_organization_name":"University of Dundee","host_organization_lineage":["https://openalex.org/I177639307"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ciobanu, L & Radomirovi\u0107, S 2006, 'Restricted walks in regular trees', Electronic Journal of Combinatorics, vol. 13, R93, pp. 1-18.","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:ddd.uab.cat:44204","is_oa":true,"landing_page_url":"https://ddd.uab.cat/record/44204","pdf_url":"https://ddd.uab.cat/record/44204","source":{"id":"https://openalex.org/S4306400380","display_name":"Dip\u00f2sit Digital de Documents de la UAB (Universitat Aut\u00f2noma de Barcelona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123044942","host_organization_name":"Universitat Aut\u00f2noma de Barcelona","host_organization_lineage":["https://openalex.org/I123044942"],"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":"","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.175.8245","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.175.8245","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.emis.de/journals/EJC/Volume_13/PDF/v13i1r93.pdf","raw_type":"text"},{"id":"pmh:oai:discovery.dundee.ac.uk:publications/20a8fac3-2792-4d40-8938-02354db280b0","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=33750447021&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4306400523","display_name":"Discovery Research Portal (University of Dundee)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177639307","host_organization_name":"University of Dundee","host_organization_lineage":["https://openalex.org/I177639307"],"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:dnet:uabarcelona_::c55781c2d769dbf2138fa7804009df56","is_oa":true,"landing_page_url":"http://ddd.uab.cat/record/44204","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:recercat.cat:2072/3587","is_oa":true,"landing_page_url":"http://hdl.handle.net/2072/3587","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/preprint"}],"best_oa_location":{"id":"doi:10.37236/1119","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1119","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1r93/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/F4320311040","display_name":"Norges Teknisk-Naturvitenskapelige Universitet","ror":"https://ror.org/05xg72x27"},{"id":"https://openalex.org/F4320320801","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07"},{"id":"https://openalex.org/F4320320885","display_name":"European Research Consortium for Informatics and Mathematics","ror":"https://ror.org/055zrhj18"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1632612563.pdf","grobid_xml":"https://content.openalex.org/works/W1632612563.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1532790179","https://openalex.org/W1553999721","https://openalex.org/W2006141572","https://openalex.org/W2012483243","https://openalex.org/W2039800792","https://openalex.org/W2962923262"],"related_works":["https://openalex.org/W2320114089","https://openalex.org/W2066808294","https://openalex.org/W4226275486","https://openalex.org/W2021255209","https://openalex.org/W1968298352","https://openalex.org/W1571832314","https://openalex.org/W2949933002","https://openalex.org/W4300550945","https://openalex.org/W2052709111","https://openalex.org/W4205171319"],"abstract_inverted_index":{"Let":[0],"${\\cal":[1,18],"T}$":[2,19],"be":[3],"the":[4,22,47,54,64],"Cayley":[5],"graph":[6],"of":[7,24,40,49,58],"a":[8,25,33,38],"finitely":[9],"generated":[10],"free":[11],"group":[12],"$F$.":[13],"Given":[14],"two":[15],"vertices":[16,30],"in":[17,56,60],"consider":[20],"all":[21],"walks":[23,51],"given":[26],"length":[27],"between":[28],"these":[29],"that":[31],"at":[32],"certain":[34],"time":[35],"must":[36],"follow":[37],"number":[39,48],"predetermined":[41],"steps.":[42],"We":[43],"give":[44],"formulas":[45],"for":[46],"such":[50],"by":[52],"expressing":[53],"problem":[55],"terms":[57],"equations":[59],"$F$":[61],"and":[62],"solving":[63],"corresponding":[65],"equations.":[66]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}