Algebraic characterization of skeletal branching
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Abstract An algebraic characterization of branching of skeletal forms is proposed which is based on the concept of the comparability of functions as defined by Muirhead. The approach allows a rigorous definition of the concept of branching and suggests that structures having an identical distribution of valencies should not be discriminated. In addition situations arise when skeletal forms having a different valency configuration cannot be compared. It is discussed how this helps in clarifying ambiguities concerning branching.
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