Abstract
Edge grammars generate pairs of words which are interpreted as edges of graphs. We prove that it is undecidable whether or not all graphs generated by a linear edge grammar are connected Hamiltonian, Eulerian, planar, k-node-colourable, bipartite and trees, respectively. Moreover, for linear edge grammars, it is undecidable whether or not the generated set of graphs contains a connected or Hamiltonian or Eulerian graph.
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© 1994 Springer-Verlag Berlin Heidelberg
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Dassow, J. (1994). Decision problems for edge grammars. In: Prívara, I., Rovan, B., Ruzička, P. (eds) Mathematical Foundations of Computer Science 1994. MFCS 1994. Lecture Notes in Computer Science, vol 841. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58338-6_75
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DOI: https://doi.org/10.1007/3-540-58338-6_75
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