Title
On embedding ternary trees into Boolean hypercubes
Abstract
It is pointed out that the problem of efficiently embedding a k-ary tree into hypercube with kor=3 has largely remained unsolved, even though optimal embeddings (i.e. embeddings achieving minimum delta , lambda , and in ) of complete and incomplete binary trees into hypercubes have been known for some time. Thus, in their quest for designing efficient embeddings of k-ary trees into hypercube for arbitrary k, the authors present some preliminary results that give efficient embeddings for the situations when k=3, 2/sup p/, 3/sup p/, 2/sup p/*3/sup q/ and p, q0. The embedding of complete ternary trees and the embedding of complete k-ary trees are considered.
Year
DOI
Venue
1992
10.1109/SPDP.1992.242739
Arlington, TX
Keywords
Field
DocType
boolean functions,embedded computing,binary trees,k ary tree,tree graphs,computer science,hypercubes,binary tree,parallel processing
Boolean function,Combinatorics,Embedding,Tree (graph theory),Computer science,K-ary tree,Parallel computing,Binary tree,Ternary operation,Theoretical computer science,Hypercube,Lambda
Conference
ISBN
Citations 
PageRank 
0-8186-3200-3
2
0.38
References 
Authors
6
2
Name
Order
Citations
PageRank
Ajay K. Gupta116624.40
Hong Wang2398138.00