Abstract
(1,α)-resolvable candelabra quadruple systems play an important role in the construction of (1,α)-resolvable Steiner quadruple systems. In this paper, we consider (1,2)-resolvable candelabra quadruple systems with three groups and show that the necessary conditions on the existence of (1,2)-RCQS(g3:s) when g is even are also sufficient. As its application, we improve the existing result on (1,2)-resolvable Steiner quadruple systems.
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