Rosa, Alexander, 1937-

On a problem of Mariusz Meszka / Alexander Rosa. -- © 2014 Elsevier B.V.We consider a problem due to Mariusz Meszka similar to the well-known conjecture of Marco Buratti. Does there exist a near-1-factor in the complete graph on Zp, p is an odd prime, whose set of edge-lengths equals a given multiset L? We establish several sufficient conditions for the answer to be yes.

In Discrete Mathematics. -- Amsterdam : Elsevier B.V., 2015. -- ISSN 0012-365X. -- ISSN 1872-681X. -- Vol. 338, no. 1 (2015), pp. 139-143