Basis and Domination in Disemigraph
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Abstract
The notion of basis introduced by Dénes König [8] as point-basis, is a well-studied topic in the theory of digraph having significant role both from applied and theoretical point of view.
Domination in Graph Theory, on the other hand is another important topic, historically claimed to have originated from the game of chess. However, the concrete notion of domination in graph found its formal shape in the works of C. Berge [6] and Ore in [22].
In this paper, attempt has been made to initiate a study of notions of basis and domination along with some characterizations of relationships between the two notions.