Abstract
For odd m, relatively little is known about embedding partial m-cycle systems into m-cycle systems of small orders not congruent to 1 or m modulo 2m. In this paper we prove that any partial m-cycle system of order u can be embedded in an m-cycle system of order v if v grater or equal to m(2u+1) + (m-1)/2, v is odd and (2 taken from n) is congruent 0(mod m).
Original language | English |
---|---|
Pages (from-to) | 202 - 208 |
Number of pages | 7 |
Journal | Journal of Combinatorial Designs |
Volume | 18 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2010 |
Externally published | Yes |