Title
Distance-Hereditary Embeddings of Circulant Graphs
Abstract
In this paper we present a distance-hereditary decomposition of optimal chordal rings of 2k2 nodes into a set of rings of 2k nodes, where k is the diameter. All the rings belonging to this set have the same length and their diameter corresponds to the diameter of the chordal ring in which they are embedded. The members of this embedded set of rings are non-disjoint and preserve the minimal routing of the original circulant graph. Besides its practical consequences, our research allows the presentation of these optimal circulant graphs as a particular evolution of the traditional ring topology.
Year
DOI
Venue
2003
10.1109/ITCC.2003.1197548
ITCC
Keywords
Field
DocType
optimal circulant graph,traditional ring topology,- circulant graphs,original circulant graph,distance-hereditary decomposition,circulant graphs,diameter corresponds,embedded set,chordal ring,distance-hereditary embeddings,cy- cles,minimal routingof,particular evolution,´,chordal rings,optimal chordal ring,nodes,topology,circulant graph,graph theory,computer science,application software,network topology,graph embedding,concurrent computing,ring topology,computer networks,design optimization,routing
Graph theory,Combinatorics,Circulant graph,Graph embedding,Chordal graph,Network topology,Circulant matrix,Concurrent computing,Ring network,Mathematics,Distributed computing
Conference
ISBN
Citations 
PageRank 
0-7695-1916-4
1
0.35
References 
Authors
5
4
Name
Order
Citations
PageRank
Carmen Martínez110.35
Ramón Beivide225930.33
Jaime Gutierrez315418.15
Cruz Izu414923.41