Ketan Mulmuley
Theoretical computer scientist known for work in computational complexity and for proposing Geometric Complexity Theory (GCT).
Books
This list of books are ONLY the books that have been ranked on the lists that are aggregated on this site. This is not a comprehensive list of all books by this author.
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1. Computational Geometry
An Introduction through Randomized Algorithms
A concise, rigorous introduction to the algorithmic foundations of geometric computation that presents key problems (convex hulls, Voronoi diagrams, Delaunay triangulations, range searching, motion-planning and intersection detection) together with efficient algorithmic techniques such as divide-and-conquer, plane-sweep, randomized incremental construction, and geometric data structures. The text emphasizes formal analysis of running time and space, probabilistic methods and lower-bound arguments, and the design principles needed to translate geometric insight into provably efficient algorithms. Numerous examples and proofs illustrate how to handle degeneracies and implement robust solutions, making it suitable for advanced undergraduate or graduate courses and as a reference for researchers.