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Greedy Routing in Circulant Networks

Authors :
Universitat Rovira i Virgili
Perez-Roses, Hebert; Bras-Amoros, Maria; Miguel Serradilla-Merinero, Jose
Universitat Rovira i Virgili
Perez-Roses, Hebert; Bras-Amoros, Maria; Miguel Serradilla-Merinero, Jose
Source :
Graphs And Combinatorics; 10.1007/s00373-022-02489-9; Graphs And Combinatorics. 38 (3):
Publication Year :
2022

Abstract

We address the problem of constructing large circulant networks with given degree and diameter, and efficient routing schemes. First we discuss the theoretical upper bounds and their asymptotics. Then we apply concepts and tools from the change-making problem to efficient routing in circulant graphs. With these tools we investigate some of the families of circulant graphs that have been proposed in the literature, and we construct tables of large circulant graphs and digraphs with efficient routing properties.

Details

Database :
OAIster
Journal :
Graphs And Combinatorics; 10.1007/s00373-022-02489-9; Graphs And Combinatorics. 38 (3):
Publication Type :
Electronic Resource
Accession number :
edsoai.on1443572349
Document Type :
Electronic Resource