PROF. DR. ROSLAN HASNI @ ABDULLAH

Roslan Hasni is currently a Professor at Universiti Malaysia Terengganu (UMT), Terengganu, Malaysia. He received the M.Sc. degree from Universiti Kebangsaan Malaysia (UKM), Selangor, Malaysia, and the PhD degree in Pure Mathematics (Graph theory) from Universiti Putra Malaysia (UPM), Selangor, Malaysia, in 2000 and 2005, respectively. He was formerly attached to the School of Mathematical Sciences, USM Penang, Malaysia, from 2005 to 2012. He published more than 120 papers in reputable journals and conference proceedings. He is an editorial member of some recognized journals, including MATI (Mathematical Aspects of Topological Indices), the Iranian Journal of Mathematical Chemistry (IJMC), the Journal of Mathematical Sciences and Informatics (UMT Terengganu), the Open Journal of Discrete Applied Mathematics (ODAM), and the Computational Journal of Graphs and Combinatorics (CJGC). His research interests are chromaticity in graphs, domination in graphs, graph labeling, chemical graph theory (topological indices), neutrosophic graphs, k-step Hamiltonian graphs, and social network analysis.

RELATIONSHIP BETWEEN DEGREE BASED TOPOLOGICAL INDICES WITH DOMINATION PARAMETERS IN GRAPHS 

Concepts related to domination in graphs can be traced back to the mid-1800s in connection with various chessboard problems, domination was first defined as graph-theoretical concept in 1958. Domination in graphs experienced rapid growth since its introduction resulting in over 1200 papers published by the late 1990s. A chemical molecule can be viewed as a graph. In the molecular graph, the vertices represent the atoms of the molecule and the edges are chemical bonds. A topological index is a mathematical parameter used for studying various properties of the molecule. Relationships between various topological indices and graph parameters have been the focus of interest of researchers for quite many years. In this talk, we present some latest results on the relationship between topological indices and domination parameters in graphs. Some open problems for further research will be given.