%0 Journal Article %T The common minimal dominating signed graph %A P. Siva Reddy %A B. Prashanth %J Transactions on Combinatorics %D 2012 %I University of Isfahan %X In this paper, we define the common minimal dominating signedgraph of a given signed graph and offer a structuralcharacterization of common minimal dominating signed graphs. Inthe sequel, we also obtained switching equivalencecharacterizations: $overline{S} sim CMD(S)$ and $CMD(S) simN(S)$, where $overline{S}$, $CMD(S)$ and $N(S)$ are complementarysigned graph, common minimal signed graph and neighborhood signedgraph of $S$ respectively. %K Signed graphs %K Switching %K Balance %K Common minimal dominating signed graph %K Neighborhood signed graph %U http://www.combinatorics.ir/?_action=showPDF&article=1896&_ob=1e6fda2b7401644ed7d16a77256e20b5&fileName=full_text.pdf