
AbstractLet G = (V, E) be a connected graph. A dominator sequence in G is a sequence of vertices S = (v1, v2,. . ., vk) such that for each i with 2 ≤ i ≤ k, the vertex vi dominates at least one vertex which is not dominated by v1, v2,. . ., vi−1. If further the set of vertices in S is an independent set, then S is called an independent dominator sequence (IDS) in G. The maximum length of an IDS in G is called the independent dominator sequence number of G and is denoted by lι(G). In this paper we initiate a study of this parameter.
independent dominator sequence, independent dominator sequence number., Dominator sequence, dominator sequence number
independent dominator sequence, independent dominator sequence number., Dominator sequence, dominator sequence number
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