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Transitivity on Minimum Dominating Sets of Paths and Cycles

Transitivity on Minimum Dominating Sets of Paths and Cycles

Transitivity on graphs is a concept widely investigated. This suggest to analyze the action of automorphisms on other sets. In this paper, we study the action on the family of γ-sets (minimum dominating sets), the graph is called γ-transitive if given two γ-sets there exists an automorphism which maps one …