Title
Minimum Linear Arrangement Of The Cartesian Product Of Optimal Order Graph And Path
Abstract
The minimum linear arrangement of an arbitrary graph is the embedding of the vertices of the graph onto the line topology in such a way that the sum of the distances between adjacent vertices in the graph is minimized. This minimization can be attained by finding an optimal ordering of the vertex set of the graph and labeling the vertices of the line in that order. In this paper, we compute the minimum linear arrangement of the Cartesian product of certain sequentially optimal order graphs which include interconnection networks such as hypercube, folded hypercube, complete Josephus cube and locally twisted cube with path and the edge faulty counterpart of sequentially optimal order graphs.
Year
DOI
Venue
2021
10.1142/S0129626421500043
PARALLEL PROCESSING LETTERS
Keywords
DocType
Volume
Minimum linear arrangement, optimal order, fault tolerance
Journal
31
Issue
ISSN
Citations 
1
0129-6264
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Jessie Abraham142.13
Micheal Arockiaraj201.35