On The Signed Edge Domination Number of Graphs

Saeed Akbari, Sadegh Bolouki, Pooya Hatami +1

Let ${\gamma }_s^{\prime }(G)$ be the signed edge domination number of G. In 2006, Xu conjectured that: for any $2$-connected graph G of order $n(n\ge 2),$ ${\gamma }_s^{\prime }(G)\ge 1$. In this article we s…