S Taruni (completed): I am her main supervisor, with Dr. Sandeep RB (CSE, IIT Dharwad, India) as her co-supervisor, and Dr. Soumen Nandi (CS, NSOU, India) as her external co-supervisor. Taruni's thesis is about studying homomorphisms of (n,m)-graphs (graphs having n different types of arcs and m different types of edges), which are natural models for the Query Evaluation Problem (QEP) in graph database (used in social networks, information networks, technological networks, and biological networks. However, inline with my research interest, Taruni's work focuses on building the background mathematical foundation of the model. This topic encapsulates my main research interest of "graph homomorphisms and colorings". Taruni has explored other graph theoretic topics such as the effect of push operation on oriented graphs, winding numbers, geodetic parameters on graphs, signed graphs, etc. outside the scope of her PhD thesis.
Present activities: At present Dr. Taruni is a Post Doctoral fellow at CMM, Universidad de Chile, Chile.
Pavan PD (completed): I am his main supervisor, with Dr. Sandeep RB (CSE, IIT Dharwad, India) as his co-supervisor. Pavan's thesis is about oriented graphs, its various parameters, and structural properties. Oriented graphs can be viewed as (n,m)-graphs, where (n,m) = (1,0). In practice, oriented graphs and signed graphs form the foundation of the study of (n,m)-graphs, that is, usually, the study of homomorphisms of oriented and signed graphs hold the key to understanding the problem solving approaches in homomorphisms of (n,m)-graphs. Pavan has also explored topics such as the effect of pushing on oriented graphs, geodetic parameters on graphs etc.
Present activities: At present Dr. Pavan is a Post Doctoral fellow at University of Turku, Finland.
Zin Mar Myint (ongoing): I am her main supervisor. Zin is an international PhD student from Myanmar under the ASEAN 1000 fellowship given by Ministry of Education, Government of India. Zin, as a part of her PhD thesis, has worked on combinatorial games such as Sprouts (a variation of it), and Cops and robber. At present Zin is working on geodetic games, while she has studied the structural properties of geodetic parameters in graphs as a preparation for it.
Tapas Das (submitted): I am his main supervisor. Tapas has worked on the effect of pushing on homomorphisms of oriented graphs. Tapas have already obtained significant results in this relatively new domain, which I expect will have a positive effect on this topic. Tapas has also explored topics such as geodetic parameters on graphs, radio labeling, and is presently working on location domination.
Supraja DK (ongoing): I am her main supervisor, with Dr. Soumen Nandi (CS, NSOU, India) as her external co-supervisor. Supraja has worked on radio labeling and neighbor-locating coloring. She is in her 3rd year at present, and is already expanding her interests to other topics.
Sagartanu Pal (thesis in preparation): I am his co-supervisor, while his main supervisor is Dr. Sandeep RB (CSE, IIT Dharwad, India). Sagartanu's thesis is about graph modification problems, and that is his main research interest.
Soura Sena Das (ongoing): I am his external co-supervisor, while Prof. Sandip Das (ACM Unit, ISI Kolkata, India) is his main supervisor. Soura primarily works on oriented coloring and location domination.
Clara Marcille (Raman-Charpak Fellow): I was her host supervisor under the Raman-Charpak Fellowship. Clara is a Ph.D. student from LaBRI, Bordeaux University, France under the supervision of Dr. Julien Bensmail and Dr. Herve Hocquard. She visited me at IIT Dharwad as an international student for a duration of 2 months.