4 research outputs found
Concurrent rebalancing on hyperred-black trees
The HyperRed-Black trees are a relaxed version of Red-Black
trees accepting high degree of concurrency. In the Red-Black trees
consecutive red nodes are forbidden. This restriction has been
withdrawn in the Chromatic trees. They have been introduced by
O.~Nurmi and E.~Soisalon-Soininen to work in a concurrent
environment. A Chromatic tree can have big clusters of red nodes
surrounded by black nodes. Nevertheless, concurrent rebalancing of
Chromatic trees into Red-Black trees has a serious drawback:
in big cluster of red nodes only the top node can be updated. Direct
updating inside the cluster is forbidden. This approach gives us
limited degree of concurrency. The HyperRed-Black trees has been
designed to solve this problem. It is possible to update red nodes in
the inside of a red cluster. In a HyperRed-Black tree nodes can
have a multiplicity of colors; they can be red, black or hyper-red.Postprint (published version
A Unified approach to concurrent and parallel algorithms on balanced data structures
Concurrent and parallel algorithms are different. However, in the case of dictionaries, both kinds of algorithms share many
common points. We present a unified approach emphasizing these points. It is based on a careful analysis of the sequential
algorithm, extracting from it the more basic facts, encapsulated later on as local rules. We apply the method to the
insertion algorithms in AVL trees. All the concurrent and parallel insertion algorithms have two main phases. A
percolation phase, moving the keys to be inserted down, and a rebalancing phase. Finally, some other algorithms and
balanced structures are discussed.Postprint (published version
Concurrent Rebalancing on HyperRed-Black Trees
The HyperRed-Black trees are a relaxed version of RedBlack trees accepting high degree of concurrency. In the Red-Black trees consecutive red nodes are forbidden. This restriction has been withdrawn in the Chromatic trees. They have been introduced by O. Nurmi and E. Soisalon-Soininen to work in a concurrent environment. A Chromatic tree can have big clusters of red nodes surrounded by black nodes. Nevertheless, concurrent rebalancing of Chromatic trees into Red-Black trees has a serious drawback: in big cluster of red nodes only the top node can be updated. Direct updating inside the cluster is forbidden. This approach gives us limited degree of concurrency. The HyperRedBlack trees has been designed to solve this problem. It is possible to update red nodes in the inside of a red cluster. In a HyperRed-Black tree nodes can have a multiplicity of colors; they can be red, black or hyper-red. 1 Introduction Red-Black trees have been recognized as an important data structure [2]. They are..
Concurrent rebalancing on hyperred-black trees
The HyperRed-Black trees are a relaxed version of Red-Black
trees accepting high degree of concurrency. In the Red-Black trees
consecutive red nodes are forbidden. This restriction has been
withdrawn in the Chromatic trees. They have been introduced by
O.~Nurmi and E.~Soisalon-Soininen to work in a concurrent
environment. A Chromatic tree can have big clusters of red nodes
surrounded by black nodes. Nevertheless, concurrent rebalancing of
Chromatic trees into Red-Black trees has a serious drawback:
in big cluster of red nodes only the top node can be updated. Direct
updating inside the cluster is forbidden. This approach gives us
limited degree of concurrency. The HyperRed-Black trees has been
designed to solve this problem. It is possible to update red nodes in
the inside of a red cluster. In a HyperRed-Black tree nodes can
have a multiplicity of colors; they can be red, black or hyper-red