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arXiv · 1603.07868

On the inverse signed total domination number in graphs

D. A. Mojdeh·Babak Samadi
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Abstract

In this paper, we study the inverse signed total domination number in graphs and present new lower and upper bounds on this parameter. For example by making use of the classic theorem of Turan (1941), we present a sharp upper bound for graphs with no induced complete subgraph of order greater than two. Also, we bound this parameter for a tree in terms of its order and the number of leaves and characterize all trees attaining this bound.

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D. A. Mojdeh, Babak Samadi. 2016-03-25. On the inverse signed total domination number in graphs. https://doi.org/10.7494/opmath.2017.37.3.447

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