Abstract Modeling complex systems that consist of different types objects leads to multilayer networks, where nodes in the layers represent kinds objects. Nodes are connected by edges, which have positive weights. A network is associated with a supra-adjacency matrix. This paper investigates sensitivity communicability perturbations studying Perron root Our analysis sheds light on edge weights ...

The Frobenius–Perron theory of an endofunctor a category was introduced in recent years (Chen et al. Algebra Number Theory 13(9):2005–2055, 2019; Chen for projective schemes. Preprint. arXiv:1907.02221 , 2019). We apply this to monoidal (or tensor) triangulated structures quiver representations.

s tructural change is defined as a change in the relative weight of the important constituents of the macro-economic indicator such as production, taxes, imports and exports, workforce etc. since the structure change is one of the main reasons for the growth and economic development of countries, the investigation of the trend of changes in economic important constituents is important. tax as a...