{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:01Z","timestamp":1753893781038,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let ${\\cal T}$ be the Cayley graph of a finitely generated free group $F$. Given two vertices in ${\\cal T}$ consider all the walks of a given length between these vertices that at a certain time must follow a number of predetermined steps.  We give formulas for the number of such walks by expressing the problem in terms of equations in $F$ and solving the corresponding equations.<\/jats:p>","DOI":"10.37236\/1119","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T23:56:13Z","timestamp":1578700573000},"source":"Crossref","is-referenced-by-count":1,"title":["Restricted Walks in Regular Trees"],"prefix":"10.37236","volume":"13","author":[{"given":"Laura","family":"Ciobanu","sequence":"first","affiliation":[]},{"given":"Sa\u0161a","family":"Radomirovi\u0107","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2006,10,27]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r93\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r93\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:07:11Z","timestamp":1579302431000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v13i1r93"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,10,27]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2006,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/1119","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2006,10,27]]},"article-number":"R93"}}