Data transfer in the mathematical broken symmetry group model

Abstract

Abstract The article shows a mathematical description of data transfer using a directed graph, as well as an algorithm for data transport in a network based on the multiplication tables of substitutions – elements of the broken symmetry group. It was analyzed how many steps are necessary when data transmission in systems with alternate sending of data packets. Using multiplication tables of substitutions the possibility of calculating the graph trees with nested nodes was demonstrated, including PQ-trees. The article provides examples of models for collecting information in two main network nodes, as well as networks with a more complex topology, for example the tree with its “rootstock”.