Title
Linear layout of locally twisted cubes.
Abstract
The hypercube network is one of the most popular parallel computing networks since it has a simple structure and is easy to implement. The locally twisted cube is a newly introduced variant of the hypercube which has the same number of nodes and same number of connections per node as the hypercube, but has only half the diameter and better graph embedding capability as compared to hypercube. In this paper, we show that an n-dimensional locally twisted cube is constructed by forming a matching between the nodes of two disjoint copies of an <inline-formula><inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink=\"gcom_a_1088943_ilm0001.gif\"/</inline-formula>-dimensional hypercube. In addition, we embed the locally twisted cube into path with minimum layout.
Year
DOI
Venue
2017
10.1080/00207160.2015.1088943
Int. J. Comput. Math.
Keywords
Field
DocType
locally twisted cube, embedding, layout, edge isoperimetric problem, optimal order
Discrete mathematics,Combinatorics,Embedding,Disjoint sets,Folded cube graph,Twisted cube,Graph embedding,Hypercube,Mathematics,Cube
Journal
Volume
Issue
ISSN
94
1
0020-7160
Citations 
PageRank 
References 
4
0.44
25
Authors
4
Name
Order
Citations
PageRank
Micheal Arockiaraj1588.88
Jessie Abraham242.13
Jasintha Quadras3293.32
Arul Jeya Shalini473.24