Fault-tolerant　topology　control　in　wireless　sensor　networks　(WSN)　is　a　NP-hard　problem,　drawing　significant　research　interests　in　the　past　several　years.　However,　most　of　the　previous　studies　were　only　based　on　heuristic　approaches　to　obtain　approximate　solutions,　and　so　the　final　network　topologies　generated　are　not　reasonable　sometimes.　Aiming　at　this　problem　and　taking　both　the　issues　of　power　efficient　and　node　failure　into　consideration,　we　propose,　in　this　paper,　a　discrete　PSO-based　topology　control　scheme　(FTPSO)　for　minimizing　the　transmission　power　of　each　sensor　node,　which　can　improve　the　network　reliability　effectively.　The　final　network　topologies　derived　by　this　algorithm　can　also　preserve　at　least　k=2　vertex　disjoint　paths　between　any　pair　nodes.　The　results　of　this　algorithm　are　compared　to　other　approaches　to　demonstrate　the　effectiveness　of　the　proposed　methodology.　©　2010　Springer-Verlag　Berlin　Heidelberg.