On the inverse signed total domination num- ber in graphs,, By Doost Ali Mojdeh

Research

Title	On the inverse signed total domination num- ber in graphs,
Type	Article
Keywords	inverse signed total dominating function, inverse signed total domination number, k-tuple total domination number
Journal	Opuscula Mathematica
DOI	—
Researchers	Doost Ali Mojdeh (First researcher) , Babak Samadi (Second researcher)

Abstract

In this paper, we study the inverse signed total domination number in graphs and present new sharp lower and upper bounds on this parameter. For example by making use of the classic theorem of Turán (1941), we present a sharp upper bound on Kr+1-free graphs for r 2. Also, we bound this parameter for a tree from below in terms of its order and the number of leaves and characterize all trees attaining this bound.