Interconnection network with a shared whiteboard: Impact of (a)synchronicity on computing power
KOSOWSKI, Adrian
Algorithmics for computationally intensive applications over wide scale distributed platforms [CEPAGE]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Algorithmics for computationally intensive applications over wide scale distributed platforms [CEPAGE]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
NISSE, Nicolas
Algorithms, simulation, combinatorics and optimization for telecommunications [MASCOTTE]
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Algorithms, simulation, combinatorics and optimization for telecommunications [MASCOTTE]
KOSOWSKI, Adrian
Algorithmics for computationally intensive applications over wide scale distributed platforms [CEPAGE]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Algorithmics for computationally intensive applications over wide scale distributed platforms [CEPAGE]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
NISSE, Nicolas
Algorithms, simulation, combinatorics and optimization for telecommunications [MASCOTTE]
Algorithms, simulation, combinatorics and optimization for telecommunications [MASCOTTE]
RAPAPORT, Ivan
Departamento de Ingeniería Matemática [Santiago] [DIM]
Centre de modélisation mathématique / Centro de Modelamiento Matemático [Santiago] [CMM]
< Reduce
Departamento de Ingeniería Matemática [Santiago] [DIM]
Centre de modélisation mathématique / Centro de Modelamiento Matemático [Santiago] [CMM]
Language
en
Rapport
This item was published in
2011
English Abstract
In this work we study the computational power of graph-based models of distributed computing in which each node additionally has access to a global whiteboard. A node can read the contents of the whiteboard and, when ...Read more >
In this work we study the computational power of graph-based models of distributed computing in which each node additionally has access to a global whiteboard. A node can read the contents of the whiteboard and, when activated, can write one message of $O(\log n)$ bits on it. A message is only based on the local knowledge of the node and the current content of the whiteboard. When the protocol terminates, each node computes the output based on the final contents of the whiteboard in order to answer some question on the network's topology. We propose a framework to formally define several scenarios modelling how nodes access the whiteboard, in a synchronous way or not. This extends the work of Becker {\it et al.} [IPDPS 2011] where nodes were imposed to create their messages only based on their local knowledge (i.e., with the whiteboard empty). We prove that the four models studied have increasing power of computation: any problem that can be solved in the weakest one can be solved in the the second, and so on. Moreover, we exhibit problems that {\it separate} models, i.e., that can be solved in one model but not in a weaker one. These problems are related to Maximal Independent Set and detection of cycles. Finally we investigate problems related to connectivity as the construction of spanning- or BFS-tree in our different models.Read less <
European Project
EUropean software defined radio for WireLEss in joint secuRity operations.
Origin
Hal imported