Abstract
SONET/WDM networks using wavelength add-drop multiplexing can be constructed 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 capacity is determined, with few possible exceptions, when the ring size is a multiple of four. The techniques developed rely heavily on tools from combinatorial design theory.
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