Algorithmic Properties of Structures
Algorithmic Properties of Structures

Author: Erwin Engeler

Publisher: World Scientific

Published: 1993

Total Pages: 272

ISBN-13: 9789810208721

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The work of Erwin Engeler in the logic and algebra of computer science has been influential but has become difficult to access because it has appeared in different types of publications. This collection of selected papers is therefore timely and useful. It represents an original and coherent approach to the basic interrelationships between mathematics and computer science.The volume begins with the area of enrichment of classical model theory by languages which express properties representing the outcome of hypothetical computer programs executed in a given class of mathematical structures, and is related to questions of correctness and provability of programs. This point of view allowed the generalization of classical Galois theory to the point of discussing the relation between structure and complexity of solution programs for problems posed in various mathematical theories. The algebraic approach is deepened and enlarged in the later papers by showing that the algorithmic aspects of any mathematical structure can be uniformly dealt with by expanding these structures into combinatory algebras.

Sparsity
Sparsity

Author: Jaroslav Nešetřil

Publisher: Springer Science & Business Media

Published: 2012-04-24

Total Pages: 472

ISBN-13: 3642278752

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This is the first book devoted to the systematic study of sparse graphs and sparse finite structures. Although the notion of sparsity appears in various contexts and is a typical example of a hard to define notion, the authors devised an unifying classification of general classes of structures. This approach is very robust and it has many remarkable properties. For example the classification is expressible in many different ways involving most extremal combinatorial invariants. This study of sparse structures found applications in such diverse areas as algorithmic graph theory, complexity of algorithms, property testing, descriptive complexity and mathematical logic (homomorphism preservation,fixed parameter tractability and constraint satisfaction problems). It should be stressed that despite of its generality this approach leads to linear (and nearly linear) algorithms. Jaroslav Nešetřil is a professor at Charles University, Prague; Patrice Ossona de Mendez is a CNRS researcher et EHESS, Paris. This book is related to the material presented by the first author at ICM 2010.

Algorithmic Logic
Algorithmic Logic

Author: Grażyna Mirkowska-Salwicka

Publisher: Springer Science & Business Media

Published: 1987-11-30

Total Pages: 394

ISBN-13: 9789027719287

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Algorithms and Data Structures
Algorithms and Data Structures

Author: Kurt Mehlhorn

Publisher: Springer Science & Business Media

Published: 2008-06-23

Total Pages: 305

ISBN-13: 3540779779

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This concise introduction is ideal for readers familiar with programming and basic mathematical language. It uses pictures, words and high-level pseudocode to explain algorithms and presents efficient implementations using real programming languages.

Data Structures & Algorithms
Data Structures & Algorithms

Author: P. Dineshkumar

Publisher: RK Publication

Published: 2024-07-03

Total Pages: 319

ISBN-13: 8197665729

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Data Structures & Algorithms is a comprehensive guide to the fundamental concepts and techniques used in computer science to organize and process data efficiently. Covering key topics like arrays, linked lists, stacks, queues, trees, graphs, and sorting and searching algorithms, the both the theory and practical implementation of these structures. Ideal for students, software developers, and coding enthusiasts, it provides insights into optimizing code, improving program performance, and solving complex computational problems, preparing readers for technical interviews and real-world applications.

Algorithms and Data Structures
Algorithms and Data Structures

Author: Selim G. Akl

Publisher: Springer Science & Business Media

Published: 1995-08-02

Total Pages: 536

ISBN-13: 9783540602200

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This volume constitutes the proceedings of the Fourth International Workshop on Algorithms and Data Structures, WADS '95, held in Kingston, Canada in August 1995. The book presents 40 full refereed papers selected from a total of 121 submissions together with invited papers by Preparata and Bilardi, Sharir, Toussaint, and Vitanyi and Li. The book addresses various aspects of algorithms, data structures, computational geometry, scheduling, computational graph theory, and searching.

Tools and Algorithms for the Construction and Analysis of Systems
Tools and Algorithms for the Construction and Analysis of Systems

Author: Holger Hermanns

Publisher: Springer

Published: 2006-03-29

Total Pages: 519

ISBN-13: 3540330577

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This book constitutes the refereed proceedings of the 12th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2005, held Austria in March/April 2006 as part of ETAPS. The 30 revised full research papers and four revised tool demonstration papers presented together with one invited paper were carefully reviewed and selected from a total of 118 submissions. The papers are organized in topical sections.

A Practical Guide to Data Structures and Algorithms using Java
A Practical Guide to Data Structures and Algorithms using Java

Author: Sally. A Goldman

Publisher: CRC Press

Published: 2007-08-23

Total Pages: 1056

ISBN-13: 1420010336

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Although traditional texts present isolated algorithms and data structures, they do not provide a unifying structure and offer little guidance on how to appropriately select among them. Furthermore, these texts furnish little, if any, source code and leave many of the more difficult aspects of the implementation as exercises. A fresh alternative to

Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications
Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications

Author: Michele Benzi

Publisher: Springer

Published: 2017-01-24

Total Pages: 413

ISBN-13: 3319498878

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Focusing on special matrices and matrices which are in some sense `near’ to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra. Exploitation of these less obvious structural properties can be of great importance in the design of efficient numerical methods, for example algorithms for matrices with low-rank block structure, matrices with decay, and structured tensor computations. Applications range from quantum chemistry to queuing theory. Structured matrices arise frequently in applications. Examples include banded and sparse matrices, Toeplitz-type matrices, and matrices with semi-separable or quasi-separable structure, as well as Hamiltonian and symplectic matrices. The associated literature is enormous, and many efficient algorithms have been developed for solving problems involving such matrices. The text arose from a C.I.M.E. course held in Cetraro (Italy) in June 2015 which aimed to present this fast growing field to young researchers, exploiting the expertise of five leading lecturers with different theoretical and application perspectives.

Algorithms and Data Structures in VLSI Design
Algorithms and Data Structures in VLSI Design

Author: Christoph Meinel

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 271

ISBN-13: 3642589405

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One of the main problems in chip design is the enormous number of possible combinations of individual chip elements within a system, and the problem of their compatibility. The recent application of data structures, efficient algorithms, and ordered binary decision diagrams (OBDDs) has proven vital in designing the computer chips of tomorrow. This book provides an introduction to the foundations of this interdisciplinary research area, emphasizing its applications in computer aided circuit design.