Dr. Sunil Mathew, Assistant ProfessorDepartment of Mathematics, National Institute of Technology Calicut(NIT Calicut), India
Speech Title: A fuzzy graph approach to interconnection networks
Abstract: In most of the modern interconnection networks like internet, the reduction of flow between different nodes is more frequent than the disruption of the entire network. Majority of the classical graph theoretical parameters were dealing with disconnections alone. The introduction of fuzzy logic by Zadeh, paved the way for fuzzy graph theory, which mainly concerned with strength reducing sets rather than disconnecting sets. Partial cutnodes and partial bridges respectively represent cutvertices and bridges in fuzzy graphs, whose removal reduce the strength of connectedness between different pairs of nodes of a network. Determination of partial cutnodes and partial bridges in a fuzzy graph is still a difficult task. There was a gradual development in the field of interconnection networks, using fuzzy graph theory in the last 20 years. Different theoretical and algorithmic aspects of networks will be studied in a fuzzy graph framework in the presentation.
Biography: Dr. Sunil Mathew has been an assistant professor at Department of Mathematics, National Institute of Technology Calicut (NIT Calicut), Kerala, India since 23rd April 2010. He has published over 60 papers in journals and conferences. He also has published 5 books and 3 books are under publication by Springer. Besides, Dr. Sunil organized some conferences on Discrete Mathematics and Applications(ADMA) and Graph theory from 2011 to 2013. He served as Area Editor of New Mathematics and Natural Computation and World Scientific Journal, editor for Journal of Uncertainty in Mathematical Sciences, reviewer for several Elsevier, Springer, Wiley and World Scientific Journals.
Research Interests: Fractals and chaos, Bio-computational modeling, Graph theory, Fuzzy logic, Fuzzy graph theory