Products and Factors of Bresets
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Keywords:
Digraph, Algorithm, Conjunctive product, Disjunctive product, Sectional product, Conjunctive factor, Disjunctive factor, Sectional factorAbstract
The aim of this paper is a. to generalize the conjunctive and co-normal products of digraphs to an arbitrary family of digraphs or sets with one binary relation each b. to introduce sectional product, for an arbitrary family of digraphs and study their properties and c. to introduce and study properties of 1. conjunctive factor 2. disjunctive factor and 3. sectional factor, for a set with a binary relation whose underlying set is a Cartesian product of a family of sets, thus introducing and elementarily studying factorization theory of digraphs. Further, several relations between these products and factors are studied along with algorithms to compute both products and factors.
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