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.
Authors
Rosa A
Journal
Discrete Mathematics, Vol. 338, No. 1, pp. 139–143