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On large sets of resolvable and almost resolvable oriented triple systems
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1996
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Infinite Dimensional AnalysisDiscrete GeometryEngineeringCombinatorial DesignRecursive FunctionOther Combinatorial StructuresComputational ComplexityCombinatorial Design TheoryComputer ScienceLarge SetsDiscrete MathematicsDiscrete StructureMathematical ModellingParallel ClassesSeveral Recursive TheoremsDiscrete Integrable SystemComputability Theory
An MTS(v) [or DTS(v)] is said to be resolvable, denoted by RMTS(v) [or RDTS(v)], if its block set can be partitioned into parallel classes. An MTS(v) [or DTS(v)] is said to be almost resolvable, denoted by ARMTS(v) [or ARDTS(v)], if its block set can be partitioned into almost parallel classes. The large set of RMTS(v) [or RDTS(v) or ARMTS(v) or ARDTS(v)] is denoted by LRMTS(v) [or LRDTS(v) or LARMTS(v) or LARDTS(v)]. In this article we do some preliminary study for their existence, and give several recursive theorems using other combinatorial structures. © 1996 John Wiley & Sons, Inc.