The tree pattern matching problem over labeled trees is addressed in this paper. Several tree pattern matching algorithms are known which are based on the decomposition of the pattern into strings, with each string representing a root-to-leaf path. Among these, Alfs T. Berztiss gave a simple tree pattern matching algorithm which remained unknown to the research community. In this paper, the tree pattern matching algorithm of Berztiss is reviewed, its correctness is established, and its complexity is shown to be O(mn) time and space in the worst case and O(n) on the average, where n is the text size and m is the pattern size.
Index Terms:
design and analysis of algorithms, combinatorial problems, tree pattern matching, subtree isomorphism
Citation:
Gabriel Valiente, "On the Algorithm of Berztiss for Tree Pattern Matching," enc, pp.43-49, Fifth Mexican International Conference in Computer Science (ENC'04), 2004