Computing the shortest path tree in a weak visibility polygon

Ghosh, Subir Kumar ; Maheshwari, Anil ; Pal, Sudebkumar Prasant ; Saluja, Sanjeev ; Veni Madhavan, C. E. (1991) Computing the shortest path tree in a weak visibility polygon Lecture Notes in Computer Science, 560 . pp. 369-389. ISSN 0302-9743

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Official URL: http://www.springerlink.com/content/f46636pk3v3115...

Related URL: http://dx.doi.org/10.1007/3-540-54967-6_82

Abstract

In this paper we propose two linear time algorithms for computing the shortest path tree rooted at any vertex of a weak visibility polygon. The first algorithm computes the shortest path tree in a polygon weakly visible from a given internal segment. The second algorithm computes the shortest path tree in a weak visibility polygon without the knowledge of a visibility segment. In both algorithms we use the convexity property of shortest paths in weak visibility polygons established in [4,11].

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