ar X iv : 1 40 9 . 16 94 v 2 [ cs . D S ] 1 6 M ar 2 01 5 Longest common substrings with k mismatches
نویسندگان
چکیده
The longest common substring with k-mismatches problem is to find, given two strings S1 and S2, a longest substring A1 of S1 and A2 of S2 such that the Hamming distance between A1 and A2 is ≤ k. We introduce a practical O(nm) time and O(1) space solution for this problem, where n and m are the lengths of S1 and S2, respectively. This algorithm can also be used to compute the matching statistics with k-mismatches of S1 and S2 in O(nm) time and O(m) space. Moreover, we also present a theoretical solution for the k = 1 case which runs in O(n logm) time, assuming m ≤ n, and uses O(m) space, improving over the existing O(nm) time and O(m) space bound of Babenko and Starikovskaya [1].
منابع مشابه
Bridging Utility Maximization and Regret Minimization
We relate the strategy sets that a player ends up with after refining his own strategies according to two very different models of rationality: namely, utility maximization and regret minimization. ar X iv :1 40 3. 63 94 v1 [ cs .G T ] 2 5 M ar 2 01 4
متن کاملar X iv : 1 71 2 . 05 94 9 v 1 [ m at h . M G ] 1 6 D ec 2 01 7 ESTIMATES FOR MOMENTS OF GENERAL MEASURES ON CONVEX BODIES
متن کامل
ar X iv : n uc l - ex / 9 61 10 01 v 1 5 N ov 1 99 6 π + + d → p + p reaction between 18 and 44 MeV
A study of the reaction π+ + d → p+ p has been performed in the energy range of 18 – 44 MeV. Total cross sections and differential cross sections at six angles have been measured at 15 energies with an energy increment of 1 – 2 MeV. This is the most systematic data set in this energy range. No structure in the energy dependence of the cross section has been observed within the accuracy of this ...
متن کاملar X iv : c on d - m at / 9 40 10 66 v 1 2 8 Ja n 19 94 Ground state energy and quasiparticle gaps
متن کامل
Computational lower limits on small Ramsey numbers
Computer-based attempts to construct lower bounds for small Ramsey numbers are discussed. A systematic review of cyclic Ramsey graphs is attempted. Many known lower bounds are reproduced. Several new bounds are reported. ar X iv :1 50 5. 07 18 6v 5 [ cs .D M ] 1 M ar 2 01 6
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2015