We consider the problem of embedding complete binary trees into meshes with the objective of minimizing the link congestion. Gibbons and Paterson showed that a complete binary tree T p (with 2 p 0 1 nodes) can be embedded into a 2-dimensional mesh of 2 p nodes with link congestion two. Using the dim
Complete binary trees in folded and enhanced cubes
β Scribed by S.A. Choudum; R. Usha Nandini
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 177 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0028-3045
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In the next section we present basic definitions and notations where the criterion of optimality is defined and related to the concept of ''normal'' algorithms. In Section 3 we present an optimal embedding method that balances the processor loads. In Section 4 we present a nonoptimal embedding metho
## Abstract A multicolored tree is a tree whose edges have different colors. Brualdi and Hollingsworth 5 proved in any proper edge coloring of the complete graph __K__~2__n__~(__n__ > 2) with 2__n__ β 1 colors, there are two edgeβdisjoint multicolored spanning trees. In this paper we generalize thi
In a randomly grown binary search tree BST of size n, any fixed pattern occurs with a frequency that is on average proportional to n. Deviations from the average case are highly unlikely and well quantified by a Gaussian law. Trees with forbidden patterns occur with an exponentially small probabilit