On Extremal Properties of Graph Entropies

We study extremal properties of graph entropies based on so-called information functionals. We obtain som ee xtre mality results for the resulting graph entropies which rely on the well-known Shannon entropy. Also by applying these results, we infer some entropy bounds for certain graph classes. Further, conjectures to determine extremal values (maximum and minimum values) of the graph entropies graphs based on numerical results are given.

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