SONET/WDM networks using wavelength add-drop multiplexing can be constructe
d using certain graph decompositions used to form a "grooming," consisting
of unions of certain primitive rings, The existence of such decompositions
when every pair of sites employs no more than 1/8 of the wavelength capacit
y is determined, with few possible exceptions, when the ring size is a mult
iple of four. The techniques developed rely heavily on tools from combinato
rial design theory. (C) 2001 John Wiley & Sons, Inc.