Title
Embedding algorithms for star, bubble-sort, rotator-faber-moore, and pancake graphs
Abstract
Star, bubble-sort, pancake, and Rotator-Faber-Moore (RFM) graphs are well-known interconnection networks that have node symmetric, maximum fault tolerance and hierarchical partition properties. These graphs are widely assumed to improve the network cost of a hypercube. This study proposes embedding methods for a star graph and its variations, and provides an analysis of the relevant costs. Results show that a bubble-sort graph can be embedded in a star graph with dilation 3, and in a RFM graph with dilation 2, while a star graph can be embedded in a pancake graph with dilation 4. The results suggest that the embedding method developed for the bubble-sort graph can be simulated in star graphs and RFM graphs in constant time O(1).
Year
DOI
Venue
2010
10.1007/978-3-642-13136-3_36
ICA3PP (2)
Keywords
Field
DocType
rfm graph,embedding method,star graph,hierarchical partition property,bubble-sort graph,maximum fault tolerance,pancake graph,embedding algorithm,node symmetric,network cost,constant time,fault tolerant,embedding
Block graph,Line graph,Computer science,Star (graph theory),Book embedding,Symmetric graph,Lattice graph,Topological graph theory,Planar graph,Distributed computing
Conference
Volume
ISSN
ISBN
6082
0302-9743
3-642-13135-2
Citations 
PageRank 
References 
2
0.39
8
Authors
3
Name
Order
Citations
PageRank
Mihye Kim17414.31
W. Kim2233.17
Hyeong-Ok Lee38614.71