In this short paper we summarize the main results of 10 years of research on network topologies carried out jointly at Aalborg University (AAU), Aalborg, Denmark, and University of Life Science (UTP), Bydgoszcz, Poland. The starting points are the Chordal Rings, which were mainly studied in UTP, and the N2R which were studied at AAU. From here the universities have collaborated intensely, and studied a number of alternatives and variations of the original topologies, based on methodologies developed both independently and jointly over time. This paper gives an overview of the work done, and provides appropriate references to the work for further details. The paper is presented as a tribute to Professor and Dean Antoni Zabłudowski who passed away during 2012.
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Topological routing is a table free alternative to traditional routing methods. It is specially well suited for organized network interconnection schemes. Topological routing algorithms correspond to the type O(1), constant complexity, being very attractive for large scale networks. It has been proposed for many topologies and this work compares the algorithms for three degree three topologies using a more analytical approach than previous studies.
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The aim of this paper is to compare the reliability of regular topologies on a backbone network. The study is focused on a large-scale fiber-optic network. Different regular topological solutions as single ring, double ring or 4-Regular grid are applied to the case study, and compared in terms of degree, diameter, average distance, economical cost and availability. Furthermore, other non-quantitative parameters such as expandability, embeddability and algorithmic support are introduced.
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