Kevin: de Bruijn-based topology with demand-aware links and greedy routing

Zerwas, Johannes; Györgyi, Csaba; Blenk, Andreas; Schmid, Stefan; Avin, Chen

doi:10.48550/arxiv.2202.05487

Cited by 2 publications

(2 citation statements)

References 28 publications

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“…Despite being known for a long time, active research is still going on on De Bruijn and Kautz digraphs B(𝑑, D) and K(𝑑, D) [3,9,20,21], both in graph theory [4,10,18,23] and in network engineering [14,24,28]. Those digraphs have been proposed as topologies for optical networks (see for instance [5,7,30]). This article is concerned with deflection routing in these kinds of networks.…”

Section: Introductionmentioning

confidence: 99%

Distance‐layer structure of the De Bruijn and Kautz digraphs: Analysis and application to deflection routing

2023

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In this article, we present a detailed study of the reach distance‐layer structure of the De Bruijn and Kautz digraphs, and we apply our analysis to the performance evaluation of deflection routing in De Bruijn and Kautz networks. Concerning the distance‐layer structure, we provide explicit polynomial expressions, in terms of the degree of the digraph, for the cardinalities of some relevant sets of this structure. Regarding the application to defection routing, and as a consequence of our polynomial description of the distance‐layer structure, we formulate explicit expressions, in terms of the degree of the digraph, for some probabilities of interest in the analysis of this type of routing. De Bruijn and Kautz digraphs are fundamental examples of digraphs on alphabet and iterated line digraphs. If the topology of the network under consideration corresponds to a digraph of this type, we can perform, in principle, a similar vertex layer description.

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Section: Introductionmentioning

confidence: 99%

Distance‐layer structure of the De Bruijn and Kautz digraphs: Analysis and application to deflection routing

2023

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“…Despite being known for a long time, active research is still going on on De Bruijn and Kautz digraphs B(d, D) and K(d, D) [4,7,17,18], both in graph theory [5,9,15,20] and in network engineering [12,21,25,28]. This paper is concerned with deflection routing in these kind of networks.…”

Section: Introductionmentioning

confidence: 99%

Distance-layer structure of the De Bruijn and Kautz digraphs: analysis and application to deflection routing (with examples and remarks)

Fàbrega¹,

Martí-Farré²,

Muñoz³

2022

Preprint

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In this paper, we present a detailed study of the reach distance-layer structure of the De Bruijn and Kautz digraphs, and we apply our analysis to the performance evaluation of deflection routing in De Bruijn and Kautz networks. Concerning the distance-layer structure, we provide explicit polynomial expressions, in terms of the degree of the digraph, for the cardinalities of some relevant sets of this structure. Regarding the application to defection routing, and as a consequence of our polynomial description of the distance-layer structure, we formulate explicit rational expressions, in terms of the degree of the digraph, for some probabilities of interest in the analysis of this type of routing.De Bruijn and Kautz digraphs are fundamental examples of digraphs on alphabet and iterated line digraphs. If the topology of the network under consideration corresponds to a digraph of this type, we can perform, in principle, a similar vertex layer description.

show abstract

Kevin: de Bruijn-based topology with demand-aware links and greedy routing

Cited by 2 publications

References 28 publications

Distance‐layer structure of the De Bruijn and Kautz digraphs: Analysis and application to deflection routing

Distance‐layer structure of the De Bruijn and Kautz digraphs: Analysis and application to deflection routing

Distance-layer structure of the De Bruijn and Kautz digraphs: analysis and application to deflection routing (with examples and remarks)

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