We present new faster algorithms for the problems of δ and (δ, γ)-matching on numeric strings. In both cases the running time of the proposed algorithms is shown to be O(δ n log m), where m is the pattern length, n is the text length and δ a given integer. Our approach makes use of Fourier transform methods and the running times are independent of the alphabet size. O(n\sqrt(m log m) algorithms for the γ -matching and total-difference problems are also given. In all the above cases, we improve existing running time bounds in the literature.
Bibliographical noteISBN: 3540262016
Name and Venue of Conference: 16th Annual Symposium on Combinatorial Pattern Matching (CPM 2005), Jeju Island, Korea, June 19-22