%0 Journal Article %T The common minimal common neighborhood dominating signed graphs %A P.Siva Kota Reddy %A K.R. Rajanna %A Kavita S Permi %J Transactions on Combinatorics %D 2013 %I University of Isfahan %X In this paper, we define the common minimal common neighborhooddominating signed graph (or common minimal $CN$-dominating signedgraph) of a given signed graph and offer a structuralcharacterization of common minimal $CN$-dominating signed graphs.In the sequel, we also obtained switching equivalencecharacterization: $overline{Sigma} sim CMCN(Sigma)$, where$overline{Sigma}$ and $CMCN(Sigma)$ are complementary signedgraph and common minimal $CN$-signed graph of $Sigma$respectively. %K Signed graphs %K Balance %K Switching %K Common minimal $CN$-dominating signed graph %K Negation %U http://www.combinatorics.ir/?_action=showPDF&article=2640&_ob=a2d2e8a781102084a706a42e292044af&fileName=full_text.pdf.