id: 04174332 dt: j an: 04174332 au: Irving, Robert W. ti: On approximating the minimum independent dominating set. so: Inf. Process. Lett. 37, No.4, 197-200 (1991). py: 1991 pu: Elsevier Sciences Publishers (North-Holland), Amsterdam la: EN cc: ut: computational complexity; combinatorial problems; NP-hard graph problems; polynomial-time approximation algorithm ci: li: doi:10.1016/0020-0190(91)90188-N ab: Summary: The problem of determining a smallest independent dominating set in a graph, or equivalently, a smallest maximal independent set, is NP-hard. We show that, unless $P=NP$, no polynomial-time approximation algorithm for this problem can guarantee to find an independent dominating set with size within a factor of K of the optimal, where K is any fixed constant $>1$. The result holds even if the graph in question is restricted to be bipartite. rv: