Random Graph Languages

DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS(2017)

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摘要
There tend to be no related researches regarding the relationships between graph theory and languages ever since the concept of graph- semigroup was first proposed in 1991. In 2011, after finding out the inner co-relations among digraphs, undirected graphs and languages, we proposed certain concepts including undirected graph language and digraph language; moreover, in 2014, we proposed a broaden concept-(V, R)- language and proved: (1) both undirected graph language and digraph language are (V, R)-languages; (2) both undirected graph language and digraph language are regular languages; (3) natural languages are regular languages. In this paper, we propose a new concept- Random Graph Language and build the relationships between random graph and language, which provides researchers with the possibility to do research about languages by using random graph theory.
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关键词
Random graph, random graph semigroup, random graph language, undirected graph language, digraph language, Rees congruence.
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