Institute for Bioinformatics and Translational Research, UMIT, Eduard Wallnoefer Zentrum 1, 6060 Hall in Tyrol, Austria Email: {matthias.dehmer, veronika.kraus}@umit.at (Received May 2, 2012) Abstract We study extremal properties of graph entropies based on so-called information functionals. We obtain some extremality results for the resulting graph entropies which rely on the well-known Shanno...

Current definition of high-entropy alloys (HEAs) is commonly based on the configurational entropy. But this depends only chemical composition a HEA and therefore cannot distinguish information content that encoded in various local atomic arrangements measurable by Shannon entropy theory. Here, inspired finding two-dimensional (2D) Sudoku matrices exhibit higher average than 2D random matrix cou...

The statistical analysis of data stemming from dynamical systems, including, but not limited to, time series, routinely relies on the estimation information theoretical quantities, most notably Shannon entropy. To this purpose, possibly widespread tool is provided by so-called plug-in estimator, whose properties in terms bias and variance were investigated since first decade after publication S...