ABSTRACT
Let and be the signed edge domination number and signed star domination number of a graph G, respectively. In this paper, we prove that for a tree T of order , if then . Moreover, we prove that for any integer , there exists a tree on n=5r+3 vertices such that .
Acknowledgments
The authors would like to thank the referees for valuable suggestions.
Disclosure statement
No potential conflict of interest was reported by the authors.