ON TOTAL VERTEX-EDGE DOMINATION

Year 2019, Volume: 9 Issue: 1, 0 - 2, 01.03.2019

B. Şahin A. Şahin

Abstract

In this paper we obtain an improved upper bound of total vertex edgem domination number of a tree. If T is a connected tree with order n, then γtve T ≤n with m = 6de and we characterize the trees attaining this upper bound. Furthermorevewe provide a characterization of trees T with γt T = γt T

Keywords

Domination , vertex-edge domination , total vertex-edge domination , total domination.

References

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