Graphical designs are an extension of spherical to functions on graphs. We connect linear codes graphical cube graphs, and show that the Hamming code in particular is a highly effective design. even structured distinct from related concepts extremal designs, maximum stable sets distance t-designs association schemes.

A graphical design is a subset of graph vertices such that the weighted averages certain eigenvectors over agree with their global averages. We use Gale duality to show positively designs in regular graphs are bijection faces generalized eigenpolytope graph. This connection can be used organize, compute and optimize designs. illustrate power this tool on three families Cayley – cocktail party g...

A graphical abstract (GA) summarizes the key and important findings of an article graphically, potentially stimulating researchers to view published manuscript. GA should enhance dissemination, augment engagement, impact clinical practice. Infographics play a role in quicker understanding significant Few level 1 studies reported that GAs enhanced engagement readers on social media when compared...

One of the important challenges in Graphical models is the problem of dealing with the uncertainties in the problem. Among graphical networks, fuzzy cognitive map is only capable of modeling fuzzy uncertainty and the Bayesian network is only capable of modeling probabilistic uncertainty. In many real issues, we are faced with both fuzzy and probabilistic uncertainties. In these cases, the propo...

Optimal distribution substation placement is one of the major components of optimal distribution system planning projects. In this paper optimal substation placement problem is solved using Imperialist Competitive Algorithm (ICA) as a new developed heuristic optimization algorithm. This procedure gives the optimal size, site and installation time of medium voltage substation, using their relate...