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In this paper, sensor deployment strategies are studied for effective coverage in wireless sensor networks. In the proposed algorithms, each sensor discovers the coverage holes within its Voronoi polygons, and then moves in a proper direction to minimize them. Novel edge-based and vertex-based strategies are proposed for efficient sensor deployment, and their features are compared with existing techniques. The algorithms proposed in this paper consider the distances of each sensor and the points inside its corresponding Voronoi polygon from the edges or vertices of the polygon. It is shown that the methods introduced in this work outperform existing strategies. Simulations confirm the effectiveness of the proposed deployment algorithms, and their superiority over the techniques reported in the literature.