Title
Metatheorems for decision problems on hyperedge replacement graph languages
Abstract
If a graph-theoretical property is compatible with the derivation process of hyperedge replacement graph grammars in a certain way, the property turns out to be decidable for the corresponding graph languages. More exactly speaking, we consider two questions:(1)Is there a graph in the generated language having the property?(2)Do all graphs in the generated language have the property?In both cases, we get decidability for all hyperedge replacement graph grammars as inputs. Colorability, Hamiltonicity, and planarity are shown to be compatible so that our decidability results apply to them.
Year
DOI
Venue
1989
10.1007/BF00288976
Acta Inf.
Keywords
Field
DocType
Information System,Operating System,Data Structure,Communication Network,Information Theory
Discrete mathematics,Combinatorics,Line graph,Forbidden graph characterization,Graph property,Computer science,Cubic graph,Null graph,Symmetric graph,Voltage graph,Complement graph
Journal
Volume
Issue
ISSN
26
7
0001-5903
Citations 
PageRank 
References 
24
1.91
14
Authors
3
Name
Order
Citations
PageRank
Annegret Habel123423.18
Hans-jörg Kreowski229837.05
Walter Vogler335441.25