RESEARCH INTERESTS
Research Interests:
Kings and kings-of-kings in semicomplete multipartite digraphs,
Optimal orientations of graphs,
Eccentric digraphs of digraphs,
Roman domination in graphs and digraphs,
Bondage numbers of graphs and digraphs,
Wiener number of graphs and digraphs,
Magic graphs.
My long-term research programme include: studying the properties of kings and kings-of-kings in semicomplete multipartite digraphs, finding the eccentric digraphs of various classes of graphs and digraphs, determining optimal orientations of various classes of graphs, and evaluating the Roman domination numbers and bondage numbers of various families of graphs and digraphs.
Eccentric digraphs is a relative new area of research in graph theory. I have obtained some results on eccentric digraphs of tournaments and completed two papers on eccentric digraphs of tournaments.
Roman domination in graphs is also a relative new area of research in graph theory. I have extended the concept of Roman domination in graphs to Roman domination in digraphs and obtained some results on Roman domination in digraphs.
The focus of my research for the current academic year would be on (1) eccentric digraphs of digraphs, (2) Roman domination, (3) bondage numbers of graphs and digraphs (4) magic graphs as well as optimal orientations of graphs. I have quite a number of problems in mind to investigate. Currently, I am working on those problems.
Kings and kings-of-kings in semicomplete multipartite digraphs,
Optimal orientations of graphs,
Eccentric digraphs of digraphs,
Roman domination in graphs and digraphs,
Bondage numbers of graphs and digraphs,
Wiener number of graphs and digraphs,
Magic graphs.
My long-term research programme include: studying the properties of kings and kings-of-kings in semicomplete multipartite digraphs, finding the eccentric digraphs of various classes of graphs and digraphs, determining optimal orientations of various classes of graphs, and evaluating the Roman domination numbers and bondage numbers of various families of graphs and digraphs.
Eccentric digraphs is a relative new area of research in graph theory. I have obtained some results on eccentric digraphs of tournaments and completed two papers on eccentric digraphs of tournaments.
Roman domination in graphs is also a relative new area of research in graph theory. I have extended the concept of Roman domination in graphs to Roman domination in digraphs and obtained some results on Roman domination in digraphs.
The focus of my research for the current academic year would be on (1) eccentric digraphs of digraphs, (2) Roman domination, (3) bondage numbers of graphs and digraphs (4) magic graphs as well as optimal orientations of graphs. I have quite a number of problems in mind to investigate. Currently, I am working on those problems.