# Decidable Boundedness Problems for Hyperedge-Replacement Graph Grammar

```@inproceedings{Habel1989DecidableBP,
title={Decidable Boundedness Problems for Hyperedge-Replacement Graph Grammar},
author={Annegret Habel and Hans-J{\"o}rg Kreowski and Walter Vogler},
booktitle={TAPSOFT, Vol.1},
year={1989}
}```
• Published in TAPSOFT, Vol.1 13 March 1989
• Mathematics
Consider a class C of hyperedge-replacement graph grammars and a numeric function on graphs like the number of edges, the degree (i.e., the maximum of the degrees of all nodes of a graph), the number of simple paths, the size of a maximum set of independent nodes, etc. Each such function induces a Boundedness Problem for the class C: Given a grammar HRG in C, are the function values of all graphs in the language L(HRG), generated by HRG, bounded by an integer or not? We show that the…

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