Application of Groebner Bases to Study a Communication System.

      Аннотация: It introduces a very important application to the solvability problem of network coding using tools from algebraic geometry by building a simplified network using Groebner basis. it presents a way to simplify a given communication network through an algorithm that splits the network into subnets and reintegrates them into a network that is a general representation or model of the studied network. This model is also represented through a combination of polynomial equations and uses Groebner bases to reach a new simplified network equivalent to the given network, which may make studying the ability to solve the problem of network coding less expensive and much easier.

Ключевые слова: Groebner bases, Network Coding, Resultant .