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The Hausdorff distance is a relatively new measure of similarity of graphs.The notion of the Hausdorff distance considers a special kind of a commonsubgraph of the compared graphs and depends on the structural propertiesoutside of the common subgraph. There was no known efficient algorithm for theproblem of determining the Hausdorff distance between two trees, and in thispaper we present a polynomial-time algorithm for it. The algorithm is recursiveand it utilizes the divide and conquer technique. As a subtask it also uses theprocedure that is based on the well known graph algorithm of finding themaximum bipartite matching.

Determining the Hausdorff Distance Between Trees in Polynomial Time