Hyperedge Replacement: Grammars and Languages
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The area of graph grammars is theoretically attractive andwell motivated byvarious applications. More than 20 yearsago, the concept of graph grammars was introduced by A.Rosenfeld as a formulation of some problems in patternrecognition and image processing, as well as by H.J.Schneider as a method for data type specification. Withingraph-grammar theory one maydistinguish the set-theoreticalapproach, the algebraic approach, and the logical approach.These approaches differ in the method in which graphreplacement is described. Specific approaches,node replacement and hyperedge replacement, concern...
The area of graph grammars is theoretically attractive andwell motivated byvarious applications. More than 20 yearsago, the concept of graph grammars was introduced by A.Rosenfeld as a formulation of some problems in patternrecognition and image processing, as well as by H.J.Schneider as a method for data type specification. Withingraph-grammar theory one maydistinguish the set-theoreticalapproach, the algebraic approach, and the logical approach.These approaches differ in the method in which graphreplacement is described. Specific approaches,node replacement and hyperedge replacement, concern thebasic units of a hypergraph, nodes and hyperedges.This monograph is mainly concerned with thehyperedge-replacement approach. Hyperedge-replacementgrammars are introduced as a device for generatinghypergraph languages including graph languages and stringlanguages. The concept combines a context-free rewritingwith a comparatively large generative power. The volumeincludes a foreword by H. Ehrig.
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