A model of resource allocation in a mesh-net LTE presented as a hypergraph

A topological model of mesh-network of LTE technology presented using hypergraphs and Koenig graphs has been offered. The capabilities of hypergraphs were used to describe the distribution of frequency resources and to assess the characteristics of the initial configurations of the mesh network. Koenig graphs were used for a comparative analysis of the results. This made it possible to describe all possible configurations of the mesh-network, as well as its elements represented in the form of vertices and edges of the hypergraph. A mathematical model of the frequency resource allocation in the LTE technology mesh-network. Its novelty lies in the description of the problem of the frequency resource allocation as subchannel allocation problem in taking into account the interference between the network stations.