Submitted:
10 July 2018
Posted:
11 July 2018
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Abstract
A novel domination invariant defined by Boutrig and Chellali in the recent: total vertex-edge domination. In this paper we obtain an improved upper bound of total vertex edge-domination number of a tree. If is a connected tree with order , then with and we characterize the trees attaining this upper bound. Furthermore we provide a characterization of trees with
Keywords:
domination
; vertex-edge domination
; total vertex-edge domination
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