For Prospective PhD students:

I work broadly on two things: Algebraic Graph Theory and Domination in Graphs.

In AGT, I am interested in and working on vertex-transitive graphs and many open questions related to it e.g., Polycirculant Conjecture, Lovasz's Conjecture and their variants. In graph domination, I mainly focus on different variants of domination and relations between them.

As a prospective student, I expect the following from you:

1. You should enjoy counting. While working with me, I expect research to be your primary intellectual occupation.

2. As prerequisite, you should have a good knowledge of linear algbera and group theory (any standard post-graduate course). Though, it is not absolutely necessary to have done a course on Graph Theory, but a preliminary idea about it would be appreciated. "Introduction to Graph Theory" by D.B. West is a goodbook to start with.

3. If you are interested in AGT, you should read Chapters 1-6 of the book "Algebraic Graph Theory" by Chris Godsil and Gordon Royle, before contacting me. Similarly, for graph domination, the must-read is Chapters 1-10 of the book "Fundamentals of Domination in Graphs" by T. Haynes, S.T. Hedetniemi and P. Slater.

Others: As a general policy, I do not offer reading courses or student internships.

**Selected List of Publications:** for complete list, click here

1. Angsuman Das & Wyatt J. Desormeaux. **Domination Defect in Graphs: Guarding with fewer Guards**, *Indian Journal of Pure and Applied Mathematics*, Volume 49, Issue 2, pp. 349-364, June, 2018.

2. Angsuman Das. **On Subspace Inclusion Graph of a Vector Space**. *Linear and Multilinear Algebra*, Taylor and Francis, Volume 66, Issue 3, 554 -564, 2018.

3. Angsuman Das, Renu C. Laskar & Nader Jafari Rad. **On α-Domination in Graphs**. *Graphs & Combinatorics,* Volume 34, Issue 1, 193-205, January, 2018.

4. Angsuman Das. **Infinite Graphs with Finite Dominating Sets**. *Discrete Mathematics, Algorithms and Applications*, World Scientific, Volume 9, Issue 4, August 2017.

5. Angsuman Das. **Coefficient of Domination in Graph**. *Discrete Mathematics, Algorithms and Applications*, World Scientific, Volume 9, Issue 2, April 2017.

6. Angsuman Das. **Non-zero Component Union Graph of a Finite Dimensional Vector Space**. *Linear and Multilinear Algebra*, Volume 65, Issue 6, 1276-1287, 2017, Taylor and Francis.

7. Angsuman Das. **On Non-zero Component Graph of Vector Spaces over Finite Fields**. * Journal of Algebra and its Applications*, Volume 16, Issue 01, January 2017, WorldScientific.

8. Angsuman Das. **Subspace Inclusion Graph of a Vector Space**. *Communications in Algebra*, Vol. 44, Issue 11, 2016, 4724-4731, Taylor and Francis.

9. Angsuman Das. **Non-Zero Component Graph of a Finite Dimensional Vector Space**. *Communications in Algebra*, Vol. 44, Issue 9, 3918-3926, 2016, Taylor and Francis.

10. Angsuman Das, Avishek Adhikari & Kouichi Sakurai. **Plaintext Checkable Encryption with Designated Checker**. *Advances in Mathematics of Communication*, Volume 9, Issue 1, pp. 37-53, 2015.