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19 March 2024
 
  » arxiv » 1204.4948

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On Injective Embeddings of Tree Patterns
Jakub Michaliszyn ; Anca Muscholl ; Sławek Staworko ; Piotr Wieczorek ; Zhilin Wu ;
Date 23 Apr 2012
AbstractWe study three different kinds of embeddings of tree patterns: weakly-injective, ancestor-preserving, and lca-preserving. While each of them is often referred to as injective embedding, they form a proper hierarchy and their computational properties vary (from P to NP-complete). We present a thorough study of the complexity of the model checking problem i.e., is there an embedding of a given tree pattern in a given tree, and we investigate the impact of various restrictions imposed on the tree pattern: bound on the degree of a node, bound on the height, and type of allowed labels and edges.
Source arXiv, 1204.4948
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