By Florin Manea, Dirk Nowotka

This booklet constitutes the refereed lawsuits of the tenth overseas convention on Combinatorics on phrases, phrases 2015, held in Kiel, Germany, in September 2015 below the auspices of the EATCS.

The 14 revised complete papers awarded have been conscientiously reviewed and chosen from 22 submissions. the most item within the contributions are phrases, finite or countless sequences of symbols over a finite alphabet. The papers mirror either theoretical contributions regarding combinatorial, algebraic, and algorithmic features of phrases, in addition to to contributions featuring purposes of the speculation of phrases in different box of machine technology, linguistics, biology, bioinformatics, or physics.

**Read Online or Download Combinatorics on Words: 10th International Conference, WORDS 2015, Kiel, Germany, September 14-17, 2015, Proceedings PDF**

**Similar combinatorics books**

**Levy Processes, Integral Equations, Statistical Physics: Connections and Interactions**

In a few well-known works, M. Kac confirmed that quite a few tools of likelihood conception might be fruitfully utilized to special difficulties of research. The interconnection among likelihood and research additionally performs a vital function within the current booklet. although, our method is especially in line with the appliance of study tools (the approach to operator identities, necessary equations conception, twin platforms, integrable equations) to likelihood conception (Levy methods, M.

**Introduction to Cryptography with Open-Source Software**

As soon as the privilege of a mystery few, cryptography is now taught at universities world wide. creation to Cryptography with Open-Source software program illustrates algorithms and cryptosystems utilizing examples and the open-source laptop algebra approach of Sage. the writer, a famous educator within the box, offers a hugely sensible studying event through progressing at a steady velocity, retaining arithmetic at a plausible point, and together with a variety of end-of-chapter workouts.

This booklet constitutes the refereed complaints of the tenth overseas convention on Combinatorics on phrases, phrases 2015, held in Kiel, Germany, in September 2015 less than the auspices of the EATCS. The 14 revised complete papers provided have been rigorously reviewed and chosen from 22 submissions. the most item within the contributions are phrases, finite or endless sequences of symbols over a finite alphabet.

- Two-dimensional homotopy and combinatorial group theory
- Stochastic Analysis for Poisson Point Processes: Malliavin Calculus, Wiener-Itô Chaos Expansions and Stochastic Geometry
- Combinatorial Optimization: Theory and Algorithms (Algorithms and Combinatorics)
- Model Theory, Algebra, and Geometry
- Combinatorics, Graphs, Matroids [Lecture notes]

**Additional resources for Combinatorics on Words: 10th International Conference, WORDS 2015, Kiel, Germany, September 14-17, 2015, Proceedings**

**Sample text**

WORDS 2015, LNCS 9304, pp. 14–26, 2015. 1007/978-3-319-23660-5 2 Equality Testing of Compressed Strings 15 and probably also simplest algorithm is due to Je˙z [17] and has a quadratic running time (under some assumptions on the machine model). In Sect. 3 we outline Je˙z’s algorithm. Let us remark that both, Plandowski [31] and Hirshfeld et al. [15,16], use Theorem 1 as a tool to solve another problem. Plandowski derives from Theorem 1 a polynomial time algorithm for testing whether two given morphisms (between free monoids) agree on a given context-free language.

Strings that are represented succinctly by so called straight-line programs. 1 Introduction The investigation of the computational complexity of algorithmic problems for succinct data started with the work of Galperin and Wigderson [10]. In that paper, a graph with 2n vertices is represented by a Boolean circuit with 2n inputs, and there is an edge between u ∈ {0, 1}n and v ∈ {0, 1}n if and only if the circuit outputs 1 on input u, v. This kind of succinct representation was further investigated in [3, 5, 30, 34].

This leads to a cubic time algorithm for compressed equality checking. An improvement of the data structure from [28] can be found in [2]. The idea from [2, 28] of recursively dividing a string into smaller pieces and replacing them by new symbols (integers in [2, 28]) was taken up by Je˙z, who came up with an extremely powerful technique for dealing with SLP-compressed strings (and the related problem of solving word equations [18]). It also yields the probably simplest proof of Theorem 1. In the rest of the section we brieﬂy sketch this algorithm.