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A Survey on Chordal Rings, N2R and Other Related Topologies

Pedersen J. M., Zabłudowski A., Gutierrez J., Ledziński D., Dubalski B.

Image Processing & Communications

2012

Vol. 17, no. 3

63--70

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.

Analysis of regular structures third degree based on chordal rings

Bujnowski S., Dubalski B., Pedersen J. M., Zabłudowski A.

Image Processing & Communications

2009

Vol. 14, no 1

13-24

This paper presents an analysis of modified chordal rings third degree (CR3m) and modified double ring structure (N2Rm), which can be used as models of real networks. The proposed solutions are novel and different from the ones currently used since they have two chords of different lengths. In the first part of paper, formulas for the basic parameters diameter and average path length were derived using optimal/ideal graphs, and used for indicating transmission properties of the structures. These analytical results were confirmed by comparison to a large number of computations on real graphs. In the second part, these parameters were compared to the parameters of standard topologies, showing that the distances are shorter when having two different chord lengths.