| Biography | |
|---|---|
 Dr. Muhammad Imran Department of Mathematical Sciences, United Arab Emirates University, United Arab Emirates, Pakistan |
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| Title: ON THE PARTITION DIMENSION OF INFINITE GRAPHS | |
| Abstract: Partition dimension is a generalization of classic metric dimension of a graph and is a standard graph decomposition problem. Little is known about the partition dimension of in finite graphs. Tomescu studied graphs where the set of vertices is the set of points of the integer lattice. We generalize these graphs and present several exact values, lower bounds and upper bounds on the partition dimension of in finite graphs. | |
| Biography: DR. MUHAMMAD IMRAN got Ph. D degree in Mathematics in year 2011 with specialization in Graph Theory from Abdus Salam School of Mathematical Sciences, Government College University, Lahore, Pakistan under the Supervisor Professor Ioan Tomescu, Faculty of Mathematics and Informatics, University of Bucharest, Romania. He is a well-known researcher in areas of applied graph theory. Currently he is an Assistant Professor at United Arab Emirates University in Al Ain, Abu Dhabi, UAE, in the Department of Mathematical Sciences since August 14, 2016. He was awarded “Outstanding Employee of UAEU” in the academic year 2018/2019 for publishing the highest number of research papers in Scopus in year 2018 and received won the Department Award for Excellence in Scholarship for the academic year 2018. He served as an Assistant Professor in National University of Sciences and Technology (NUST), Islamabad from May 2011 till July 2016. He successfully supervised 01 PhD and 06 MS students of Mathematics at NUST, Islamabad, Pakistan where he was awarded with the Best Researcher of School of Natural Sciences (SNS) Award for the academic year 2013/2014 by National University of Sciences and Technology (NUST), Islamabad, Pakistan & Professional Performance Award by ASSMS, GC University, Lahore, Pakistan, 2014.. His research interests include metric graph theory, graph labeling and spectral graph theory. He has published 200+ research articles in reputed international journals of Mathematics and Informatics. He is referee of several international scopus/SCIE indexed mathematical journals. He was a Keynote Speaker of 2018 International Symposium on Graph Theory, Combinatorics and Theoretical Chemistry, Yunnan Normal University, Kunming, China, July 1-4, 2018. | |
