Download Algorithms and Data Structures: 14th International by Frank Dehne, Jörg-Rüdiger Sack, Ulrike Stege PDF

By Frank Dehne, Jörg-Rüdiger Sack, Ulrike Stege

This booklet constitutes the refereed complaints of the 14th Algorithms and information buildings Symposium, WADS 2015, held in Victoria, BC, Canada, August 2015.
The fifty four revised complete papers offered during this quantity have been rigorously reviewed and chosen from 148 submissions.
The Algorithms and information buildings Symposium - WADS (formerly Workshop on Algorithms and information Structures), which alternates with the Scandinavian Workshop on set of rules concept, is meant as a discussion board for researchers within the region of layout and research of algorithms and knowledge constructions. WADS comprises papers proposing unique study on algorithms and information buildings in all parts, together with bioinformatics, combinatorics, computational geometry, databases, images, and parallel and dispensed computing.

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Extra resources for Algorithms and Data Structures: 14th International Symposium, WADS 2015, Victoria, BC, Canada, August 5-7, 2015. Proceedings

Example text

In general, for each 0 ≤ i ≤ l , if we know Dc (i), we can use the same approach to compute Dc (i+1). We say a solution Dc (i) for i ∈ [0, l ] is trivial if the right endpoint of I(sr+i ) is strictly to the right of β. The algorithm for Lemma 8 is omitted. Lemma 8. Suppose k is the smallest index in [0, l ] such that Dc (k) is a trivial solution. We can compute Dc (i) for all i = k, k + 1, . . , l in O(n log n) time. In the following, we compute solutions Dc (i) for all i = 0, 1, . . , l in O(n log n) time.

Next, we use the same approach to compute Dc (m+2) by using the remaining gaps in G. Let Gm denote the remaining G. , the gap list of the containing case algorithm if we apply it on Fm+1 to compute Dc (m + 1)), which may not be the same as Gm . , we can use the same approach to compute Dc (m + 3), Dc (m + 4), . . , Dc (n) by using the remaining gaps. Our algorithm can be easily implemented in O(n log n) time to compute Dc (i) for all i = m, m + 1, . . , n. First, we compute Dc (m) in O(n log n) time using our containing case algorithm.

Otherwise, we consider the next overlap o2 . We continue this procedure until g is fully covered. Since |S(l + 1, r + 1)| = λ, k i=1 |oi | ≥ |g| holds, implying that g will eventually be fully covered. We can show that the obtained configuration is Dc (1). The above gives a way to compute Dc (1) from Dc (0). In general, for each 0 ≤ i ≤ l , if we know Dc (i), we can use the same approach to compute Dc (i+1). We say a solution Dc (i) for i ∈ [0, l ] is trivial if the right endpoint of I(sr+i ) is strictly to the right of β.

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