منابع مشابه
Necklaces , Convolutions , and X +
We give subquadratic algorithms that, given two necklaces each with n beads at arbitrary positions, compute the optimal rotation of the necklaces to best align the beads. Here alignment is measured according to the `p norm of the vector of distances between pairs of beads from opposite necklaces in the best perfect matching. We show surprisingly different results for p = 1, p = 2, and p =∞. For...
متن کامل2 01 2 Necklaces , Convolutions , and X +
We give subquadratic algorithms that, given two necklaces each with n beads at arbitrary positions, compute the optimal rotation of the necklaces to best align the beads. Here alignment is measured according to the lp norm of the vector of distances between pairs of beads from opposite necklaces in the best perfect matching. We show surprisingly different results for p = 1, p even, and p = ∞. F...
متن کاملGenerating Necklaces
A k color n bead necklace is an equivalence class of k ary n tuples under rotation In this paper we analyze an algorithm due to Fredricksen Kessler and Maiorana FKM to show that necklaces can be generated in constant amortized time We also present a new approach to generating necklaces which we conjecture can also be implemented in constant amortized time The FKM algorithm generates a list of n...
متن کاملPerfect Necklaces
We introduce a variant of de Bruijn words that we call perfect necklaces. Fix a finite alphabet. Recall that a word is a finite sequence of symbols in the alphabet and a circular word, or necklace, is the equivalence class of a word under rotations. For positive integers k and n, we call a necklace (k, n)-perfect if each word of length k occurs exactly n times at positions which are different m...
متن کاملBrane necklaces and brane coils
We investigate D-term strings in angled inflation and show how they could be distinguished from conventional cosmic strings. In angled inflation, D-term strings are Dp−2 branes that are extended between Dp branes. The Dp−2 brane has a flat direction in compactified space, along which the endpoint of the Dp−2 brane can move freely on the Dp brane. Then naturally the position of the Dp−2 brane co...
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ژورنال
عنوان ژورنال: Algorithmica
سال: 2012
ISSN: 0178-4617,1432-0541
DOI: 10.1007/s00453-012-9734-3