Title
The Generalized Connectivity Of Bubble-Sort Star Graphs
Abstract
The connectivity plays an important role in measuring the fault tolerance and reliability of interconnection networks. The generalized k-connectivity of a graph G, denoted by kappa(k)(G), is an important indicator of a network's ability for fault tolerance and reliability. The bubble-sort star graph, denoted by BSn, is a well known interconnection network. In this paper, we show that kappa(3)(BSn) = 2n - 4 for n >= 3, that is, for any three vertices in BSn, there exist 2n - 4 internally disjoint trees connecting them in BSn, for n >= 3, which attains the upper bound of kappa(3)(G) <= delta(G) - 1 given by Li et al. for G = BSn.
Year
DOI
Venue
2019
10.1142/S0129054119500229
INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE
Keywords
Field
DocType
Generalized connectivity, fault-tolerance, reliability, bubble-sort star graph
Discrete mathematics,Graph,Combinatorics,Bubble sort,Mathematics
Journal
Volume
Issue
ISSN
30
5
0129-0541
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Shu-Li Zhao114.40
Rongxia Hao216526.11