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A Class of Minimum-Time Synchronization Algorithms for 2D Rectangluar Arrays Based on L-Shaped Mapping

Authors:
Hiroshi Umeo
Takuya Yamawaki
Hiroki Uchino
Kaori Ishida

Keywords: cellular automata, FSSP, synchronization

Abstract:
We introduce a new class of minimum-time FSSP (Firing Squad Synchronization Problem) algorithms for two-dimensional (2D) rectangular arrays. The algorithms in the class are all based on L-shaped mapping, where the synchronized configurations on 1D arrays are mapped in an L-shaped form onto 2D arrays efficiently, yielding minimum-time FSSP algorithms. We also present a comparative study of their recent implementations. Several state-efficient implementations, new insights into 2D synchronization and multi-dimensional extensions are also discussed.

Pages: 20 to 25

Copyright: Copyright (c) IARIA, 2017

Publication date: February 19, 2017

Published in: conference

ISSN: 2308-3735

ISBN: 978-1-61208-530-2

Location: Athens, Greece

Dates: from February 19, 2017 to February 23, 2017