Efficient Algorithms
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Efficient Algorithms and Structures with Heaps
"Efficient Algorithms and Structures with Heaps" "Efficient Algorithms and Structures with Heaps" is a comprehensive exploration of the theory, design, and real-world application of heap data structures in modern computer systems. Beginning with rigorous theoretical foundations, the book delves into formal definitions, proofs, and complexity analyses that underpin classic and advanced heap operations. It offers a comparative study of a wide array of heap types—including binary, d-ary, binomial, and Fibonacci heaps—and guides readers through nuanced considerations such as memory layout, amortized analysis, and the selection of optimal data structures for priority queue implementations. Moving from theory to practice, the text features in-depth algorithmic treatments and best practices for binary heaps, as well as sophisticated variants like binomial, Fibonacci, and pairing heaps. Each chapter carefully addresses core operations, practical optimizations, and the trade-offs inherent in deploying heaps within graph algorithms, system scheduling, database indexing, and cloud-scale infrastructure. Detailed attention is given to emerging domains such as concurrent and distributed heaps, cache-efficient designs, and the increasingly vital topics of security, persistent storage, and energy efficiency. Augmenting its deep technical exposition, the book surveys current research directions, covering parallel, probabilistic, and approximate heap algorithms and forecasting their roles in tomorrow’s computing environments. Through a blend of foundational theory, empirical analysis, and forward-looking discussion, "Efficient Algorithms and Structures with Heaps" serves as an authoritative reference for practitioners, researchers, and advanced students seeking to master the algorithms and architectures that drive high-performance system design.
Complexity Theory
Author: Ingo Wegener
language: en
Publisher: Springer Science & Business Media
Release Date: 2005-04-11
Reflects recent developments in its emphasis on randomized and approximation algorithms and communication models All topics are considered from an algorithmic point of view stressing the implications for algorithm design