On the Buratti-Horak-Rosa Conjecture about Hamiltonian Paths in Complete Graphs
Combinatorics
2014-05-15 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1311.2785,
title = {On the Buratti-Horak-Rosa Conjecture about Hamiltonian Paths in Complete Graphs},
author = {Anita Pasotti and Marco Antonio Pellegrini},
journal= {arXiv preprint arXiv:1311.2785},
year = {2014}
}
Comments
Previously submitted with the title "On BHR({1^a,2^b,t^c}) when t is even"