{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:54Z","timestamp":1753893834210,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>In this paper we investigate a problem proposed by Marco Buratti, Peter Horak and Alex Rosa (denoted by BHR-problem) concerning Hamiltonian paths in the complete graph with prescribed edge-lengths. In particular we solve BHR$(\\{1^a, 2^b, t^c\\})$ for any even integer $t \\geq 4$,\u00a0 provided that $a+b \\geq t-1$. Furthermore, for $t=4, 6, 8$ we present a complete solution of BHR$(\\{ 1^a,2^b,t^c \\})$ for any positive integer $a,b,c$.<\/jats:p>","DOI":"10.37236\/3879","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T01:04:44Z","timestamp":1578704684000},"source":"Crossref","is-referenced-by-count":5,"title":["On the Buratti-Horak-Rosa Conjecture about Hamiltonian Paths in Complete Graphs"],"prefix":"10.37236","volume":"21","author":[{"given":"Anita","family":"Pasotti","sequence":"first","affiliation":[]},{"given":"Marco Antonio","family":"Pellegrini","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2014,5,13]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i2p30\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i2p30\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T10:59:21Z","timestamp":1579258761000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v21i2p30"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,5,13]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2014,3,31]]}},"URL":"https:\/\/doi.org\/10.37236\/3879","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2014,5,13]]},"article-number":"P2.30"}}