Topology　control　is　one　of　the　most　fundamental　problems　in　wireless　sensor　networks　(WSNs).　It　is　of　great　importance　for　prolonging　network　lifetime,　reducing　radio　interference　and　energy　consumption,　increasing　the　efficiency　of　media　access　control　(MAC)　protocols　and　routing　protocols,　among　other　things.　In　this　paper,　the　problem　is　transformed　into　a　model　of　multi-criteria　degree　constrained　minimum　spanning　tree　(mcd-MST),　and　a　non-dominated　discrete　particle　swarm　optimization　(NDPSO)　is　designed　to　deal　with　this　problem.　To　obtain　a　better　approximation　of　true　Pareto　front,　the　phenotype　sharing　function　of　the　objective　space　is　applied　in　the　definition　of　fitness　function　in　NDPSO.　Furthermore,　a　topology　control　scheme　based　on　NDPSO　is　proposed　in　this　paper.　Simulation　results　show　that　the　topology　derived　under　the　proposed　scheme　has　low　total　power　consumption,　high　robust　structure　and　low　contention　among　nodes,　and　it　also　can　effectively　prolong　the　lifetime　of　network.　©　2011　IEEE.