Title
Edge-independent spanning trees in augmented cubes.
Abstract
Edge-independent spanning trees (EISTs) have important applications in networks such as reliable communication protocols, one-to-all broadcasting, and secure message distribution, thus their designs in several classes of networks have been widely investigated. The n-dimensional augmented cube (AQn) is an important variant of the n-dimensional hypercube. It is (2n1)-regular, (2n1)-connected (n3), vertex-symmetric and has diameter of n/2. In this paper, by proposing an O(NlogN) algorithm that constructs 2n1 EISTs in AQn, where N is the number of nodes in AQn, we solve the EISTs problem for this class of graphs. Since AQn is (2n1)-regular, the result is optimal with respect to the number of EISTs constructed.
Year
DOI
Venue
2017
10.1016/j.tcs.2017.01.016
Theor. Comput. Sci.
Keywords
Field
DocType
Edge independent spanning trees,Augmented cubes,Algorithm,Fault -tolerance
Discrete mathematics,Graph,Broadcasting,Combinatorics,Independent spanning trees,Fault tolerance,Spanning tree,Hypercube,Mathematics,Communications protocol,Cube
Journal
Volume
Issue
ISSN
670
C
0304-3975
Citations 
PageRank 
References 
3
0.38
26
Authors
3
Name
Order
Citations
PageRank
Yan Wang142.08
Hong Shen210727.61
Jianxi Fan371860.15