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arXiv · 2410.00541

Random Graph Generation in Context-Free Graph Languages

Federico Vastarini·Detlef Plump
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Abstract

We present a method for generating random hypergraphs in context-free hypergraph languages. It is obtained by adapting Mairson's generation algorithm for context-free string grammars to the setting of hyperedge replacement grammars. Our main results are that for non-ambiguous hyperedge replacement grammars, the method generates hypergraphs uniformly at random and in quadratic time. We illustrate our approach by a running example of a hyperedge replacement grammar generating term graphs.

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Federico Vastarini, Detlef Plump. 2024-10-01. Random Graph Generation in Context-Free Graph Languages. https://doi.org/10.4204/eptcs.408.7

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