Mr. Pradeep Singh has been declared qualified for the award of degree of Doctor of Philosophy (Ph.D.) in Mathematics by Shri Mata Vaishno Devi University, Katra, J&K. He has worked on the topic, “On Zero-Divisor Graph of Rings and its Topological Indices”, under the supervision of Dr. V.K. Bhat, Professor, School of Mathematics, SMVDU. His research work has published in reputed SCIE and SCOPUS indexed journals.The candidate thanked the university for granting him NET- fellowship during Ph.D. Prof. R.K. Sinha, Vice-Chancellor, SMVDU congratulated the candidate and wished him a bright future ahead.