• STRONG BLOCK DOMINATION IN GRAPHS
Abstract
For any graph, the block graph is a graph whose set of vertices is the union of the set of blocks of in which two vertices are adjacent if and only if the corresponding blocks of are adjacent. For any two adjacent vertices and we say that strongly dominates if . A dominating set of a graph is a strong block dominating set of if every vertex in is strongly dominated by at least one vertex in . Strong block domination number of is the minimum cardinality of strong block dominating set of . In this paper, we study graph theoretic properties of and many bounds were obtain in terms of elements of and its relationship with other domination parameters were found.
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