A Design for Node Coloring and 1-Fair Alternator on de Bruijn Networks
نویسندگان
چکیده
In this paper, we study the coloring problem for the undirected binary de Bruijn interconnection network. The coloring scheme is simple and fast. We propose the coloring algorithm by using the pseudo shortestpath spanning tree rooted at (0 00). Each processor can find its color number by its own identity. Then, based on our coloring algorithm, we propose a 1-fair alternator. Our design is optimal. In our design, each processor can execute the critical step once in every 3 steps.
منابع مشابه
Comments on "Low Diameter Interconnections for Routing in High-Performance Parallel Systems, " with Connections and Extensions to Arc Coloring of Coset Graphs
Recently, Melhem presented a ”new” class of low-diameter interconnection (LDI) networks in this journal [10]. We note that LDI networks are the same as the previously known generalized de Bruijn graphs, point out an error in the decomposition of LDI networks into permutations, and find that the correct decomposition scheme is an instance of arc coloring for coset graphs. Hence, we pursue a numb...
متن کاملWormhole routing in de Bruijn networks and hyper-de Bruijn networks
The order-(m, n) hyper-deBruijn graph HD(m,n) is the direct product of an order-m hypercube and an order-n debruijn graph. The hyper-deBruijn graph offers flexibility in terms of connections per node and the level of fault-tolerance. These networks as well possess logarithmic diameter, simple routing algorithms and support many computationally important subgraphs and admit efficient implementat...
متن کاملLPKP: location-based probabilistic key pre-distribution scheme for large-scale wireless sensor networks using graph coloring
Communication security of wireless sensor networks is achieved using cryptographic keys assigned to the nodes. Due to resource constraints in such networks, random key pre-distribution schemes are of high interest. Although in most of these schemes no location information is considered, there are scenarios that location information can be obtained by nodes after their deployment. In this paper,...
متن کاملWormhole Routing in De Bruijn Networks and Hyper-debruijn
The order-(m,n) hyper-deBruijn graph H D ( m , n) is the direct product of an order-m hypercube and an order-n debruijn graph. The hyper-deBruijn graph offers flexibility in terms of connections per node and the level of fault-tolerance. These networks as well possess logarithmic diameter, simple routing algorithms and support many computationally imponant subgraphs and admit efficient implemen...
متن کاملSpanning Trees for Binary Directed De Bruijn Networks and Their Applications to Load Balancing
One of the major reasons of using parallel computer systems is that they have the potential for improving performance and resource sharing. To achieve this, an efficient way must be provided to broadcast a message or messages from a node to every other nodes in the system. However, the efficiency of transferring messages in a system is determined by the architecture of the underlying interconne...
متن کامل