TY - JOUR

T1 - On the Buratti-Horak-Rosa Conjecture about Hamiltonian Paths in Complete Graphs

AU - Pellegrini, Marco Antonio

AU - Pasotti, Anita

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

SP - N/A-N/A

JO - Electronic Journal of Combinatorics

JF - Electronic Journal of Combinatorics

SN - 1077-8926

ER -