Title
Complete binary trees embeddings in Möbius cubes
Abstract
The complete binary tree as an important network structure has long been investigated for parallel and distributed computing, which has many nice properties and used to be embedded into other interconnection architectures. The Möbius cube Mn is an important variant of the hypercube Qn. It has many better properties than Qn with the same number of edges and vertices. In this paper, we prove that the complete binary tree with 2n-1 vertices can be embedded with dilation 1, congestion 1, load 1 into Mn and expansion tending to 1. © 2015 Elsevier Inc.
Year
DOI
Venue
2016
10.1016/j.jcss.2015.09.004
Journal of Computer and System Sciences
Keywords
Field
DocType
Complete binary tree,Congestion,Dilation,Expansion,Interconnection architecture,Load,Möbius cube
Discrete mathematics,Combinatorics,Dilation (morphology),Vertex (geometry),K-ary tree,Binary tree,Random binary tree,Binary expression tree,Hypercube,Mathematics,Cube
Journal
Volume
Issue
ISSN
82
2
00220000
Citations 
PageRank 
References 
4
0.40
32
Authors
3
Name
Order
Citations
PageRank
Liu Zhao1211.11
Jianxi Fan271860.15
Xiaohua Jia34609303.30