Topology　control　and　management　is　one　of　the　core　issues　in　wireless　sensor　networks,　which　have　drawn　a　significant　amount　of　research　interests　in　the　past　several　years　In　order　to　construct　a　network　topology　with　low　total　power　consumed,　low　radio　contention　and　high　robust　structure,　in　this　paper　we　make　the　distance　between　each　pair　of　nodes,　the　coverage　of　an　edge,　and　the　residual　energy　of　nodes　as　the　foundation　of　setting　up　the　structure　We　adopt　the　idea　of　LMST　algorithm,　transform　the　model　into　a　problem　of　degree-constrained　minimum　spanning　tree　and　design　a　discrete　Particle　Swarm　Optimization　algorithm　to　deal　with　this　issue　The　results　of　our　algorithm　are　compared　to　those　of　SMECN　and　LMST　to　demonstrate　the　effectiveness　of　the　proposed　methodology