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New “Graphiton” Model: a Computational Discrete Space, Self-Encoded as a Trivalent Graph

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Author(s): Raymond Aschheim | Smain Femmam | M. Faouzi Zerarka

Journal: Computer and Information Science
ISSN 1913-8989

Volume: 5;
Issue: 1;
Date: 2011;
Original page

ABSTRACT
The new graphiton models described here are trivalent graphs which encode topologically binary information. They permit defining intrinsic discrete spaces which constitute supernode crystals. Besides encoding its own metric, the model supports disturbances due to fault tolerance through the redundancy of information in the paths of connection between supernodes. Coming from theoretical physics, they may find applications in network management and artificial intelligence. For the first time, an information system structure, rich enough to model the universe itself, but relying ultimately on set theory, traverses set theory, topology, information theory, graph theory, geometry, algebra, theoretical physics and even computer and network science, in a logical straightforward and elegant way.
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