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Computer Science and Engineering
This is a first course on techniques in parameterized algorithms, a paradigm of algorithm design that analyzes running time in finer detail than classical complexity theory: instead of expressing the running time as a function of the input size only, dependence on one or more parameters of the input instance is taken into account. This is a fast-evolving field and a fundamental approach to coping with NP-hardness, alongside approximation and randomized algorithms. The course will be a natural follow-up to a first course in algorithms and data structures for theoretically-inclined students and those who are curious about approaches to dealing with the theoretical limitations that emerge from the theory of NP-completeness. Remark 1. A companion course might cover topics focused entirely on lower bounds (covering W-hardness, ETH and SETH-based hardness, hardness based on the UGC, and hardness of kernelization). A natural follow-up course might cover topics in the intersection of parameterized and approximation algorithms. Remark 2. Lecture videos indicative of the course content can be found at this playlist from a previous offering of this course at the Institute for Mathematical Sciences, Chennai
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VTU is one of the largest Technological Universities in India with 24 years of Tradition of excellence in Engineering & Technical Education, Research and Innovations. It came into existence in the year 1998 to cater the needs of Indian industries for trained technical manpower with practical experience and sound theoretical knowledge.