By Amihood Amir, Avivit Levy (auth.), Tapio Elomaa, Heikki Mannila, Pekka Orponen (eds.)

ISBN-10: 3642124755

ISBN-13: 9783642124754

ISBN-10: 3642124763

ISBN-13: 9783642124761

For a long time Esko Ukkonen has performed an immense function within the development of desktop technology in Finland. He was once the main individual within the improvement of the varsity of algorithmic learn and has contributed significantly to post-graduate schooling in his state. Esko Ukkonen has through the years labored inside of many parts of laptop technology, together with numerical equipment, complexity idea, theoretical facets of compiler building, and common sense programming. besides the fact that, the main target of his learn has been on algorithms and their functions. This Festschrift quantity, released to honor Esko Ukkonen on his sixtieth birthday, contains 18 refereed contributions by way of his former PhD scholars and associates, with whom he has cooperated heavily in the course of the process his profession. The Festschrift used to be offered to Esko in the course of a festive symposium prepared on the college of Helsinki to have a good time his birthday. The essays basically current study on computational trend matching and string algorithms, components that experience benefited considerably from the paintings of Esko Ukonen.

**Read or Download Algorithms and Applications: Essays Dedicated to Esko Ukkonen on the Occasion of His 60th Birthday PDF**

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**Extra resources for Algorithms and Applications: Essays Dedicated to Esko Ukkonen on the Occasion of His 60th Birthday**

**Sample text**

The ﬁrst one puts in the same equivalence class strings that have precisely the same set of starting positions. The second one symmetrically assigns to the same class strings with the same ending positions. The third one is the transitive closure of the ﬁrst two. The natural representatives in each equivalence relation will be taken as the words of maximum length in each class, which will be called here right-maximal, left-maximal or just maximal, respectively. Close relatives of these strings were called special factors in [7] and at any rate they all ﬁnd a nice resonance in data structures such as directed acyclic word graphs and subword trees [1,5].

More formally, one can actually deﬁne three Maximal Words in Sequence Comparisons Based on Subword Composition 41 equivalence relations on the subwords in x, as follows. The ﬁrst one puts in the same equivalence class strings that have precisely the same set of starting positions. The second one symmetrically assigns to the same class strings with the same ending positions. The third one is the transitive closure of the ﬁrst two. The natural representatives in each equivalence relation will be taken as the words of maximum length in each class, which will be called here right-maximal, left-maximal or just maximal, respectively.

3 The Element Cost Model [30] is the ﬁrst paper that explicitly considered the ECM for dealing with rearrangement problems. A formal deﬁnition of this cost model is given below. Definition 10. Let w : Σ → R+ be a weight function, which assigns a nonnegative weight to every element in Σ. Let g : Σ × Σ → R+ be a function deﬁning the interchange cost. The function g is called a general function if it satisﬁes the following conditions: 1. ∀x, y ∈ Σ : g(x, y) = g(y, x). 2. ∀x, y, z ∈ Σ : w(y) ≤ w(z) ⇔ g(x, y) ≤ g(x, z).