The spectrum of a graph has been widely used in graph theory to characterise the properties of a graph and extract information from its structure. It has also been employed as a graph representation for pattern matching since it is invariant to the labelling of the graph. There are, however, a numbe
A comparative study of 2-3 trees and AVL trees
β Scribed by Ahmed S. Zaki
- Publisher
- Springer
- Year
- 1983
- Tongue
- English
- Weight
- 868 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1573-7640
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study binary search trees constructed from Weyl sequences n , n G 1, Γ 4 where is an irrational and ΠΈ denotes ''mod 1.'' We explore various properties of the structure of these trees, and relate them to the continued fraction expansion of . If H is n w x the height of the tree with n nodes when i
We present new functional equations for the species of plane and of planar (in the sense of Harary and Palmer, Graphical Enumeration, Academic Press, New York, 1973) 2-trees and some associated pointed species. We then deduce the explicit molecular expansion of these species, i.e. a classiΓΏcation of
## Abstract A graph __G__ is a 2βtree if __G__β=β__K__~3~, or __G__ has a vertex __v__ of degree 2, whose neighbors are adjacent, and __G__/ __v__ is a 2β tree. A characterization of the degree sequences of 2βtrees is given. This characterization yields a linearβtime algorithm for recognizing and r