The Parallel-Sequential Duality : Matrices and Graphs

Details The Parallel-Sequential Duality : Matrices and Graphs The Parallel-Sequential Duality : Matrices and Graphs

2007-09-27

arxiv.org/abs/0709.4397v2

Mathematics

Combinatorics

11 pages

Scientific paper

Usually, mathematical objects have highly parallel interpretations. In this paper, we consider them as sequential constructors of other objects. In particular, we prove that every reflexive directed graph can be interpreted as a program that builds another and is itself builded by another. That leads to some optimal memory computations, codings similar to modular decompositions and other strange dynamical phenomenons.

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