On the computation of edit distance functions

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On the computation of edit distance functions

The edit distance between two graphs on the same labeled vertex set is the symmetric difference of the edge sets. The edit distance function of hereditary property, H, is a function of p ∈ [0, 1] and is the limit of the maximum normalized distance between a graph of density p and H. This paper uses localization, for computing the edit distance function of various hereditary properties. For any ...

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Edit Distance and its Computation

In this paper, we provide a method for determining the asymptotic value of the maximum edit distance from a given hereditary property. This method permits the edit distance to be computed without using Szemerédi’s Regularity Lemma directly. Using this new method, we are able to compute the edit distance from hereditary properties for which it was previously unknown. For some graphs H, the edit ...

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Computation of Normalized Edit Distance and Applications

Given two strings X and Y over a finite alphabet, the normalized edit distance between X and Y, d( X , Y ) is defined as the minimum of W ( P ) / L ( P ) , where P is an editing path between X and Y , W ( P ) is the sum of the weights of the elementary edit operations of P, and L ( P ) is the number of these operations (length of P). In this paper, it is shown that in general, d ( X , Y ) canno...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2015

ISSN: 0012-365X

DOI: 10.1016/j.disc.2014.09.005