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Girish Varma

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Girish Varma | geevi.github.io Reviews

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1

Approximation and its Limits : An Introduction to Probabilistically Checkable Proofs and Hardness of Approximation

http://geevi.github.io/2014/approximation-limits.html

Approximation and its Limits. An introduction to probabilistically checkable proofs and hardness of approximation. In the previous blog post. We saw that a computer as we know it, cannot help in solving many puzzles. But some of these puzzles need to be solved, routinely in real life programs. So should we give up hope? Is there another way out? Now lets consider a problem which has very wide practical application. It is called the $3$-SAT problem. An instance of the problem has a collection of. To be $7...

2

Puzzling Computers : A Gentle Introduction to Theory of NP-Completeness

http://geevi.github.io/2014/puzzles.html

A gentle introduction to the theory of NP-Completeness. Puzzle. The goal is to fill in numbers from $1$ to $9$ in the blanks such that, every row, column and $3 times 3$ block has all the $9$ different numbers. Beside is a solution for the puzzle instance and it is easy to verify that the. On the rows, columns and sub blocks are. On having all numbers in rows and columns and $4 times 4$ sub blocks. One just needs to check if every row, column and sub block has all the numbers from $1$ to $16$. So an.

3

CV

http://geevi.github.io/cv

Tata Institute of Fundamental Research, Mumbai. PhD in Computer Science with guidance of Dr. Prahladh Harsha. Tata Institute of Fundamental Research, Mumbai. PhD Candidate in Computer Science. National Institute of Technology Calicut. Bachelor of Technology in Computer Science and Engineering. Hardness of approximation, analysis of Boolean functions, communication complexity, combinatorics. Vincenzo Bonifaci, Kurt Mehlhorn and Girish Varma. Physarum can compute shortest paths. In Proc. 46th ACM Symp&...

4

Hardness of Coloring Problems

http://geevi.github.io/2014/hardness-of-coloring.html

This is the third part, of a series of blog. On the impossibility of finding efficient algorithms for certain problems. When a problem has a polynomial time algorithm, we say it is. In the second post. We saw that for the $3$-SAT problem, even a relaxed version of the problem, of getting an approximation factor better than $7/8$, is hard. We also saw a very silly polynomial time algorithm, which gives a $7/8$ approximation factor. Such pair of results are called. Which are the round things and a set of.

5

GV

http://geevi.github.io/about

ഗ ര ഷ വർമ മ. Is a Post-Doctoral Researcher in Computer Science at the Weizmann Institute of Science. With Prof. Irit Dinur. Previously he did his PhD. at the Tata Institute of Fundamental Research. Mumbai with guidance of Dr. Prahladh Harsha. This work is licensed under a Creative Commons Attribution 4.0 International License.

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Girish Varma

A gentle introduction to the theory of NP-Completeness. Approximation and its Limits. An introduction to probabilistically checkable proofs and hardness of approximation. On the impossibility of finding efficient algorithms for coloring problems. Thesis - hopefully soon. Hardness of Graph Coloring. Joint work with Irit Dinur, Prahladh Harsha and Srikanth Srinivasan [DHSV14]. Hardness of Hypergraph Coloring. A Characterization of Hard-to-cover CSPs. Joint work with Amey Bhangale and Prahladh Harsha [BHV14].

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