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Scalable Routing Modeling for Wireless Ad Hoc Networks by Using Polychromatic Sets

<4> This paper is a pioneering research in modelling wireless networks by applying polychromatic sets theory (PS), which was invented in Russia and used in manufacture and aviation industries. This is the first of its kind in the world to do so. PS theory has the ability to describe the properties of each element in a set, which current set theory cannot do it. The authors realised its potential in modelling wireless networks, which the nodes and communication links have various properties but they are difficult to be described by traditional set theory. Another benefit is its simplicity and fast speed of computing. Routing algorithms developed based on polychromatic sets will be more efficient and fast that will solve the routing problems in wireless networks with dynamic topology.