There are so many areas of research in Domination Theory. One can know the present areas of research in the Theory of Domination in Graphs.
One of the current fertile areas is identifying influencers in social graphs. There are several books on social networks.
One example of such application is mentioned in: http://www.mdpi.com/1999-4893/11/7/93
Best regards.
Sir you are the Legend in the field of Domination Theory. You have to suggest some problems for young researchers.
Social domination Theory
There are many. For example, b-disjunctive domination in graphs, open neighbourhood location-domination in graph, Semitotal Domination in Graphs,
outer-connected domination problem in graphs etc.
There are several topological indices in the literature.Therefore we need answer for the above question.
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