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Tropical Circuit Complexity: Limits of Pure Dynamic Programming

76,21 
76,21 
2025-07-31 76.2100 InStock
Nemokamas pristatymas į paštomatus per 13-17 darbo dienų užsakymams nuo 19,00 

Knygos aprašymas

This book presents an enticing introduction to tropical circuits and their use as a rigorous mathematical model for dynamic programming (DP), which is one of the most fundamental algorithmic paradigms for solving combinatorial, discrete optimization problems.
In DP, an optimization problem is broken up into smaller subproblems that are solved recursively. Many classical DP algorithms are pure in that they only use the basic (min,+) or (max,+) operations in their recursion equations. In tropical circuits, these operations are used as gates. Thanks to the rigorous combinatorial nature of tropical circuits, elements from the Boolean and arithmetic circuit complexity can be used to obtain lower bounds for tropical circuits, which play a crucial role in understanding the limitations and capabilities of these computational models. This book aims to offer a toolbox for proving lower bounds on the size of tropical circuits.
In this work, the reader will find lower-bound ideas and methods that have emerged in the last few years, with detailed proofs. Largely self-contained, this book is meant to be approachable by graduate students in mathematics and computer science with a special interest in circuit complexity.

Informacija

Autorius: Stasys Jukna
Leidėjas: Springer Nature Switzerland
Išleidimo metai: 2023
Knygos puslapių skaičius: 140
ISBN-10: 3031423534
ISBN-13: 9783031423536
Formatas: Knyga minkštu viršeliu
Kalba: Anglų
Žanras: Discrete mathematics

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