×
Copy the page URI to the clipboard
Adams, P.; Bryant, D.; Grannell, Mike and Griggs, Terry
(2006).
Abstract
A diagonally switchable 4-cycle system of order , briefly DS4CS(
), is a 4-cycle system in which by replacing each 4-cycle
covering pairs
by either of the 4-cycles
or
another 4-cycle system is obtained. We prove that a DS4CS(
) exists if and only if
1 (mod 8),
with the possible exception of
.