Towards an algebra of routing tables

Höfner, Peter; McIver, Annabelle

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Towards an algebra of routing tables

Date

2011

Authors

Höfner, Peter

McIver, Annabelle

Abstract

We use well-known algebraic concepts like semirings and matrices to model and argue about Wireless Mesh Networks. These networks are used in a wide range of application areas, including public safety and transportation. Formal reasoning therefore seems to be necessary to guarantee safety and security. In this paper, we model a simplified algebraic version of the AODV protocol and provide some basic properties. For example we show that each node knows a route to the originator of a message (if there is one).