TY - JOUR
T1 - On the Buratti-Horak-Rosa Conjecture about Hamiltonian Paths in Complete Graphs
AU - Pellegrini, Marco Antonio
PY - 2014
Y1 - 2014
N2 - 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≥4, provided that a+b≥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.
AB - 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≥4, provided that a+b≥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.
KW - Complete graph
KW - Edge-length
KW - Hamiltonian path
KW - Complete graph
KW - Edge-length
KW - Hamiltonian path
UR - http://hdl.handle.net/10807/58213
UR - http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i2p30
M3 - Article
SN - 1077-8926
SP - N/A-N/A
JO - Electronic Journal of Combinatorics
JF - Electronic Journal of Combinatorics
ER -