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.