Union Find Data Structures And Algorithms
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Union Find Data Structures And Algorithms
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Author : Richard Johnson
language : en
Publisher: HiTeX Press
Release Date : 2025-06-09
Union Find Data Structures And Algorithms written by Richard Johnson and has been published by HiTeX Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-09 with Computers categories.
"Union-Find Data Structures and Algorithms" "Union-Find Data Structures and Algorithms" delivers a comprehensive exploration of the mathematical foundations, core implementations, and advanced techniques underpinning one of computer science’s most essential data structures. Seamlessly blending rigorous theoretical exposition with practical engineering insights, the book opens with foundational concepts in set theory, graph connectivity, and complexity analysis—equipping readers with the intellectual tools necessary to grasp the delicacy and depth of union-find. Key chapters unpack classical and amortized complexity, the role of the inverse Ackermann function, and the subtleties of formal data type abstractions, ensuring that readers build a solid baseline before engaging with more advanced material. The volume proceeds to a detailed survey of fundamental and optimized union-find implementations, tracing the evolution from array-based and linked-list structures to forest representations and persistent variants. It devotes special attention to algorithmic heuristics—including union by size, union by rank, and sophisticated path compression techniques—offering empirical benchmarks and comparative analyses that underscore both theoretical and real-world performance. Advanced sections tackle lower bounds, optimality proofs, and the challenges of dynamic updates, deletion, and parallelization, drawing clear connections to contemporary needs in distributed systems and high-performance computing. A hallmark of this text is its devotion to bridging theory with application. Through in-depth case studies, readers discover union-find’s pivotal role in minimizing spanning trees, processing large-scale graphs, enabling image segmentation, powering distributed consensus, and facilitating efficient clustering in data analysis and machine learning. The book concludes with forward-looking discussions on research frontiers, from quantum algorithms to privacy-aware and fault-tolerant systems, making it an indispensable reference for researchers, engineers, and students seeking a nuanced, authoritative treatment of union-find data structures in both classical and emerging domains.
Data Structures Algorithms
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Author : P. Dineshkumar
language : en
Publisher: RK Publication
Release Date : 2024-07-03
Data Structures Algorithms written by P. Dineshkumar and has been published by RK Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-03 with Computers categories.
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.
A Practical Guide To Data Structures And Algorithms Using Java
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Author : Sally. A Goldman
language : en
Publisher: CRC Press
Release Date : 2007-08-23
A Practical Guide To Data Structures And Algorithms Using Java written by Sally. A Goldman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-23 with Computers categories.
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
Algorithms
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Author : Robert Sedgewick
language : en
Publisher: Addison-Wesley Professional
Release Date : 2014-02-01
Algorithms written by Robert Sedgewick and has been published by Addison-Wesley Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-01 with Computers categories.
This book is Part I of the fourth edition of Robert Sedgewick and Kevin Wayne’s Algorithms, the leading textbook on algorithms today, widely used in colleges and universities worldwide. Part I contains Chapters 1 through 3 of the book. The fourth edition of Algorithms surveys the most important computer algorithms currently in use and provides a full treatment of data structures and algorithms for sorting, searching, graph processing, and string processing -- including fifty algorithms every programmer should know. In this edition, new Java implementations are written in an accessible modular programming style, where all of the code is exposed to the reader and ready to use. The algorithms in this book represent a body of knowledge developed over the last 50 years that has become indispensable, not just for professional programmers and computer science students but for any student with interests in science, mathematics, and engineering, not to mention students who use computation in the liberal arts. The companion web site, algs4.cs.princeton.edu contains An online synopsis Full Java implementations Test data Exercises and answers Dynamic visualizations Lecture slides Programming assignments with checklists Links to related material The MOOC related to this book is accessible via the "Online Course" link at algs4.cs.princeton.edu. The course offers more than 100 video lecture segments that are integrated with the text, extensive online assessments, and the large-scale discussion forums that have proven so valuable. Offered each fall and spring, this course regularly attracts tens of thousands of registrants. Robert Sedgewick and Kevin Wayne are developing a modern approach to disseminating knowledge that fully embraces technology, enabling people all around the world to discover new ways of learning and teaching. By integrating their textbook, online content, and MOOC, all at the state of the art, they have built a unique resource that greatly expands the breadth and depth of the educational experience.
Sequential And Parallel Algorithms And Data Structures
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Author : Peter Sanders
language : en
Publisher: Springer Nature
Release Date : 2019-08-31
Sequential And Parallel Algorithms And Data Structures written by Peter Sanders and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-31 with Computers categories.
This textbook is a concise introduction to the basic toolbox of structures that allow efficient organization and retrieval of data, key algorithms for problems on graphs, and generic techniques for modeling, understanding, and solving algorithmic problems. The authors aim for a balance between simplicity and efficiency, between theory and practice, and between classical results and the forefront of research. Individual chapters cover arrays and linked lists, hash tables and associative arrays, sorting and selection, priority queues, sorted sequences, graph representation, graph traversal, shortest paths, minimum spanning trees, optimization, collective communication and computation, and load balancing. The authors also discuss important issues such as algorithm engineering, memory hierarchies, algorithm libraries, and certifying algorithms. Moving beyond the sequential algorithms and data structures of the earlier related title, this book takes into account the paradigm shift towards the parallel processing required to solve modern performance-critical applications and how this impacts on the teaching of algorithms. The book is suitable for undergraduate and graduate students and professionals familiar with programming and basic mathematical language. Most chapters have the same basic structure: the authors discuss a problem as it occurs in a real-life situation, they illustrate the most important applications, and then they introduce simple solutions as informally as possible and as formally as necessary so the reader really understands the issues at hand. As they move to more advanced and optional issues, their approach gradually leads to a more mathematical treatment, including theorems and proofs. The book includes many examples, pictures, informal explanations, and exercises, and the implementation notes introduce clean, efficient implementations in languages such as C++ and Java.
Algorithms And Data Structures
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Author : Frank Dehne
language : en
Publisher: Springer
Release Date : 2015-07-27
Algorithms And Data Structures written by Frank Dehne and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-27 with Computers categories.
This book constitutes the refereed proceedings of the 14th Algorithms and Data Structures Symposium, WADS 2015, held in Victoria, BC, Canada, August 2015. The 54 revised full papers presented in this volume were carefully reviewed and selected from 148 submissions. The Algorithms and Data Structures Symposium - WADS (formerly Workshop on Algorithms And Data Structures), which alternates with the Scandinavian Workshop on Algorithm Theory, is intended as a forum for researchers in the area of design and analysis of algorithms and data structures. WADS includes papers presenting original research on algorithms and data structures in all areas, including bioinformatics, combinatorics, computational geometry, databases, graphics, and parallel and distributed computing.
An Introduction To Data Structures And Algorithms
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Author : J.A. Storer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Data Structures And Algorithms written by J.A. Storer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
Data structures and algorithms are presented at the college level in a highly accessible format that presents material with one-page displays in a way that will appeal to both teachers and students. The thirteen chapters cover: Models of Computation, Lists, Induction and Recursion, Trees, Algorithm Design, Hashing, Heaps, Balanced Trees, Sets Over a Small Universe, Graphs, Strings, Discrete Fourier Transform, Parallel Computation. Key features: Complicated concepts are expressed clearly in a single page with minimal notation and without the "clutter" of the syntax of a particular programming language; algorithms are presented with self-explanatory "pseudo-code." * Chapters 1-4 focus on elementary concepts, the exposition unfolding at a slower pace. Sample exercises with solutions are provided. Sections that may be skipped for an introductory course are starred. Requires only some basic mathematics background and some computer programming experience. * Chapters 5-13 progress at a faster pace. The material is suitable for undergraduates or first-year graduates who need only review Chapters 1 -4. * This book may be used for a one-semester introductory course (based on Chapters 1-4 and portions of the chapters on algorithm design, hashing, and graph algorithms) and for a one-semester advanced course that starts at Chapter 5. A year-long course may be based on the entire book. * Sorting, often perceived as rather technical, is not treated as a separate chapter, but is used in many examples (including bubble sort, merge sort, tree sort, heap sort, quick sort, and several parallel algorithms). Also, lower bounds on sorting by comparisons are included with the presentation of heaps in the context of lower bounds for comparison-based structures. * Chapter 13 on parallel models of computation is something of a mini-book itself, and a good way to end a course. Although it is not clear what parallel
Data Structures And Algorithms 1
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Author : K. Mehlhorn
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-09
Data Structures And Algorithms 1 written by K. Mehlhorn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-09 with Computers categories.
The design and analysis of data structures and efficient algorithms has gained considerable importance in recent years. The concept of "algorithm" is central in computer science, and "efficiency" is central in the world of money. I have organized the material in three volumes and nine chapters. Vol. 1: Sorting and Searching (chapters I to III) Vol. 2: Graph Algorithms and NP-completeness (chapters IV to VI) Vol. 3: Multi-dimensional Searching and Computational G- metry (chapters VII and VIII) Volumes 2 and 3 have volume 1 as a common basis but are indepen dent from each other. Most of volumes 2 and 3 can be understood without knowing volume 1 in detail. A general kowledge of algorith mic principles as laid out in chapter 1 or in many other books on algorithms and data structures suffices for most parts of volumes 2 and 3. The specific prerequisites for volumes 2 and 3 are listed in the prefaces to these volumes. In all three volumes we present and analyse many important efficient algorithms for the fundamental computa tional problems in the area. Efficiency is measured by the running time on a realistic model of a computing machine which we present in chapter I. Most of the algorithms presented are very recent inven tions; after all computer science is a very young field. There are hardly any theorems in this book which are older than 20 years and at least fifty percent of the material is younger than 10 years.
C Data Structures And Algorithm Design Principles
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Author : John Carey
language : en
Publisher: Packt Publishing Ltd
Release Date : 2019-10-31
C Data Structures And Algorithm Design Principles written by John Carey and has been published by Packt Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-31 with Computers categories.
Get started with C++ programming by learning how to build applications using its data structures and algorithms Key FeaturesExplore data structures such as arrays, stacks, and graphs with real-world examplesStudy the trade-offs between algorithms and data structures and discover what works and what doesn'tDiscover how techniques such as bloom filters and multi-way heaps boost real-world applicationsBook Description C++ is a mature multi-paradigm programming language that enables you to write high-level code with a high degree of control over the hardware. Today, significant parts of software infrastructure, including databases, browsers, multimedia frameworks, and GUI toolkits, are written in C++. This book starts by introducing C++ data structures and how to store data using linked lists, arrays, stacks, and queues. In later chapters, the book explains the basic algorithm design paradigms, such as the greedy approach and the divide-and-conquer approach, which are used to solve a large variety of computational problems. Finally, you will learn the advanced technique of dynamic programming to develop optimized implementations of several algorithms discussed in the book. By the end of this book, you will have learned how to implement standard data structures and algorithms in efficient and scalable C++ 14 code. What you will learnBuild applications using hash tables, dictionaries, and setsExplore how modern hardware affects the actual run-time performance of programsApply common algorithms such as heapsort and merge sort for string data typesUse C++ template metaprogramming to write code librariesImplement a URL shortening service using a bloom filterUse appropriate modern C++ idioms such as std:: array instead of C-style arraysWho this book is for This book is for developers or students who want to revisit basic data structures and algorithm design techniques. Although no mathematical background is required, basic knowledge of complexity classes and Big O notation along with a qualification in an algorithms course will help you get the most out of this book. Familiarity with C++ 14 standard is assumed.
Handbook Of Data Structures And Applications
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Author : Dinesh P. Mehta
language : en
Publisher: CRC Press
Release Date : 2004-10-28
Handbook Of Data Structures And Applications written by Dinesh P. Mehta and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-28 with Computers categories.
Although there are many advanced and specialized texts and handbooks on algorithms, until now there was no book that focused exclusively on the wide variety of data structures that have been reported in the literature. The Handbook of Data Structures and Applications responds to the needs of students, professionals, and researchers who need a mainstream reference on data structures by providing a comprehensive survey of data structures of various types. Divided into seven parts, the text begins with a review of introductory material, followed by a discussion of well-known classes of data structures, Priority Queues, Dictionary Structures, and Multidimensional structures. The editors next analyze miscellaneous data structures, which are well-known structures that elude easy classification. The book then addresses mechanisms and tools that were developed to facilitate the use of data structures in real programs. It concludes with an examination of the applications of data structures. The Handbook is invaluable in suggesting new ideas for research in data structures, and for revealing application contexts in which they can be deployed. Practitioners devising algorithms will gain insight into organizing data, allowing them to solve algorithmic problems more efficiently.