My main areas of interest are
> Graph Theory and Discrete Geometry.
> Design & Analysis of Algorithms.
> Game Theory
> Astronomy
> Graph Theory and Discrete Geometry.
> Design & Analysis of Algorithms.
> Game Theory
> Astronomy
Graph Theory and Discrete Geometry
This is my main field of work. I primarily focus on geometric aspects of Graph Theory. I have worked on
> Unit distance graphs (strongly regular graphs and snarks)
> Minimal Vertex Separators
> Graceful graphs.
> Social Network Analysis.
> Applications of Graph theory in various fields.
> Energy of Graphs.
I maintain a website on Applied Graph Theory.
I am interested in the geometrical aspects of Graph theory and Combinatorics hence am studying Discrete Geometry.
> Unit distance graphs (strongly regular graphs and snarks)
> Minimal Vertex Separators
> Graceful graphs.
> Social Network Analysis.
> Applications of Graph theory in various fields.
> Energy of Graphs.
I maintain a website on Applied Graph Theory.
I am interested in the geometrical aspects of Graph theory and Combinatorics hence am studying Discrete Geometry.
Algorithms
Algorithms are the gen-next mathematics. They are the methods of calculation. These are the true gems that the Computer Scientists have given to this world.
According to Don Knuth "People who analyze algorithms have double happiness. First of all they experience the sheer beauty of elegant mathematical patterns that surround elegant computational procedures. Then they receive a practical payoff when their theories make it possible to get other jobs done more quickly and more economically."
According to Don Knuth "People who analyze algorithms have double happiness. First of all they experience the sheer beauty of elegant mathematical patterns that surround elegant computational procedures. Then they receive a practical payoff when their theories make it possible to get other jobs done more quickly and more economically."
Game Theory
You won't find a more interesting subject than game theory. This is the ideal time-pass material. If you like challenges and puzzles then Game theory is definitely an area to explore. Just pick up any book on Game Theory & read the first example in the introduction chapter and you just cannot stop.
Apart from being a fun to read subject, it is also a very practical. After covering few concepts in game theory you will definitely appreciate the practicality of this subject. It teaches you how to not only learn but develop tricks & apply them in real life situations.
Apart from being a fun to read subject, it is also a very practical. After covering few concepts in game theory you will definitely appreciate the practicality of this subject. It teaches you how to not only learn but develop tricks & apply them in real life situations.
Astronomy
This is more of a hobby. The fact that our green planet is able to sustain life really surprises me. I like to read related books. I am particularly interested in
> Dark matter
> Dark energy
> Black holes, their life histories.
Also the origin of universe is really interesting to read about. For a list of books click here.
> Dark matter
> Dark energy
> Black holes, their life histories.
Also the origin of universe is really interesting to read about. For a list of books click here.