Dynamic Grid Embedding: Optimizing the Compression of Partial Grids

John Ellis, Fillia Makedon

ISBN 10: 1333364962 / ISBN 13: 9781333364960

Editore: Forgotten Books, 2018

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Print on Demand. This book presents an in-depth exploration of 'dynamic grid embedding', an innovative technique in computer science. It delves into optimizing the compression of partial grids, such as those containing missing nodes or edges. The author provides a case study of embedding techniques that map partial grids into smaller ones with optimal area and bounded dilation, introducing the concept of boundary dilation. The book also includes complexity results and lower bound estimates for specific cases of grid embedding. By examining the expansion, dilation, and boundary dilation aspects of partial grid embedding simultaneously, this book contributes to a new set of design-related problems. It is a valuable resource for researchers and practitioners in computer science, particularly those interested in graph embedding, VLSI design, and systolic arrays. The insights gained from this book have the potential to improve the efficiency and performance of integrated circuits and other computational systems, paving the way for advancements in various technological applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Codice articolo 9781333364960_0

Dati bibliografici

• Titolo: Dynamic Grid Embedding: Optimizing the Compression of Partial Grids
• Editore: Forgotten Books
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 1333364962
• ISBN 13: 9781333364960
• Rilegatura: Paperback
• Condizione: New
• Tipo di libro: print-on-demand item
• Cataloghi dei venditori:
  • Geometry

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Riassunto

Excerpt from Dynamic Grid Embedding: Optimizing the Compression of Partial Grids

One major goal of circuit integration is the ability to pack dense circuits in very small areas. The model most often used is the one that views the circuit as a graph and the chip as a grid. One lays out the circuit by embedding it in the grid so that graph edges map onto disjoint paths in the grid. The two major measures of embedding efficiency are the area of the smallest rectangle that encloses the circuit layout and the time involved in traversing long runs of wire [thom79]. Vlsi theory has been involved with the study of computational structures that fill specific needs in the new computational environment. These structures resemble cellular automata and iterative arrays of finite automata. The development and analysis of algorithms that aid in the logical and physical design process of integrated circuits is very much needed in order to replace the up to now ad hoc method of circuit design by the human designer.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.