Joyentanuj Das
Research Associate at School of Informatics, University of Edinburgh, Scotland, UK
Hello, my name is Joyentanuj Das. I am currently a Research Associate (Postdoctoral Fellow) at the School of Informatics, University of Edinburgh, Scotland, UK.
My research interests are Combinatorics and Graph Theory, more specifically spectral and extremal graph theory. Extremal graph theory is one of the most interesting fields in modern Graph theory and has risen in popularity over the course of the last few decades. The field of study intrigues me since I love to see how the change in geometrical structures plays a role in the arguments to attain the extremal graphs.
I have worked on a few problems related to:
Distance matrix of certain classes of graphs.
Extremal graphs with fixed graph parameters like independence number and dissociation number.
A_{alpha} matrix of graphs.
Zero Forcing Number of a graph.
Wiener Index and Eccentricity of a graph.
Extremal Sombor Index of different graph classes with fixed parameters.
People interested in collaborating on related things can always contact me by dropping an email. I will be glad to reply.
I am also open to learn new topics in Graph theory.
I completed my PhD. from the Indian Institute of Science Education and Research, Thiruvananthapuram (IISER TVM) in July 2022. After that I worked as a Postdoctoral fellow in the Department of Applied Mathematics, at National Sun Yat-Sen University (NSYSU), Taiwan from October 2022 to March 2024.
P.S. The car is not mine :P
Contact:
joyentanuj@gmail.com (Personal Email).
joyentanuj@ed.ac.uk (Current Institute Email).
joyentanuj@math.nsysu.edu.tw (Previous Institute Email).
joyentanuj16@alumni.iisertvm.ac.in (Previous Institute Alumni Email).
Detailed CV can be found here:
Joyentanuj CV.pdfPublications and Preprints:
J. Das, S. Jayaraman and S. Mohanty. Distance matrix of a class of completely positive graphs: determinant and inverse. Special Matrices 8:160-171, 2020. Journal, ArXiv.
J. Das and S. Mohanty. Distance matrix of multi-block graphs: determinant and inverse. Linear and Multilinear Algebra, 2020. Journal, ArXiv.
J. Das and S. Mohanty. On the spectral radius of bi-block graphs with given independence number $\alpha$, Applied Mathematics and Computation 402, 125912, 2021. Journal, ArXiv.
J. Das and S. Mohanty. Distance matrix of weighted cactoid-type digraphs, Linear and Multilinear Algebra, 2021. Journal, ArXiv.
J. Das and S. Mohanty. On Squared Distance Matrix of Complete Multipartite Graphs, Indian J Pure Appl Math, 2023. Journal, ArXiv.
J. Das and R. Jana. Proof of a Conjecture on Wiener Index and Eccentricity of a graph due to edge contraction. Discrete Applied Mathematics 307, 19-21, 2022. Journal, ArXiv.
D. Bhattacharya and J. Das. A remark on nefness of divisors on surfaces of general type. Studia Scientiarum Mathematicarum Hungarica: Combinatorics, Geometry and Topology, 2022. Journal.
J. Das and Y.K. Prajapaty. On the Sombor Index of Unicyclic graphs with a fixed number of pendant vertices, preprint. ArXiv.
J. Das, On extremal Sombor index of trees with a given independence number $\alpha$, preprint. ArXiv.
J. Das and S. Mohanty. Maximization of the spectral radius of block graphs with a given dissociation number, Applied Mathematics and Computation 465, 128424, 2024. Journal, ArXiv.
J. Das, On the spectral radius of clique trees with a given zero forcing number, preprint. ArXiv.
J. Das and S. Mohanty. Inverse of the Squared Distance Matrix of a Complete Multipartite Graph, preprint. ArXiv.
J. Das and I. Mahato, On the maximum $A_{\alpha}$-spectral radius of unicyclic and bicyclic graphs with a fixed girth or fixed number of pendant vertices, preprint. ArXiv.
Hobbies:
Cooking
Photography
Table Tennis
Basketball
For some photos, check out my Instagram page.
I also love listening to Indian Classical Music both vocal and instrumental as well as both the Hindustani and Carnatic styles.
External Links (Mathematics):
Last Updated: November 2, 2023.