On the performance of balance factors of the dichromatic balanced trees for massive data
Authors
Xiaodong Wang, Daxin Zhu
Corresponding Author
Xiaodong Wang
Available Online September 2016.
- DOI
- 10.2991/icence-16.2016.58How to use a DOI?
- Keywords
- Balanced Trees; Recursive Algorithms; Closed-Form Solutions
- Abstract
In this paper, we are interested in minimal number of red-nodes in a red-black tree. An time dynamic programming algorithm is presented first for computing , the smallest number of red internal nodes in a red-black tree on keys. We then improve the algorithm to a new time algorithm. Then the algorithm is improved further to some time recursive and nonrecursive algorithms. These improved algorithms finally led to a closed-form solution of .
- Copyright
- © 2016, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Xiaodong Wang AU - Daxin Zhu PY - 2016/09 DA - 2016/09 TI - On the performance of balance factors of the dichromatic balanced trees for massive data BT - Proceedings of the 2nd International Conference on Electronics, Network and Computer Engineering (ICENCE 2016) PB - Atlantis Press SP - 275 EP - 279 SN - 2352-538X UR - https://doi.org/10.2991/icence-16.2016.58 DO - 10.2991/icence-16.2016.58 ID - Wang2016/09 ER -