Complexity Issues in VLSI

Complexity Issues in VLSI
Author :
Publisher : MIT Press (MA)
Total Pages : 168
Release :
ISBN-10 : UCAL:B4337135
ISBN-13 :
Rating : 4/5 (35 Downloads)

Book Synopsis Complexity Issues in VLSI by : Frank Thomson Leighton

Download or read book Complexity Issues in VLSI written by Frank Thomson Leighton and published by MIT Press (MA). This book was released on 1983 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book solves several mathematical problems in the areas of Very Large Scale Integration (VLSI) and parallel computation. In particular, it describes optimal layouts for the shuffle-exchange graph, one of the best known networks for parallel computation. Attempts to design a shuffle-exchange computer have been hampered in part by the fact that, until now, no good layouts for the shuffle-exchange graph were known. The mesh of trees network (which may eventually prove as useful as the shuffle-exchange graph) is introduced and the book shows how it can be used to perform a variety of computations, including sorting and matrix multiplication, in a logarithmic number of steps. Next, the book introduces the tree of meshes, the first planar graph that was discovered not to have a linear-area layout. Most recently, the structure of this graph has been used to develop a general framework for solving VLSI graph layout problems. Finally, the book develops techniques for proving lower bounds on the bisection width, crossing number, and layout area of a graph. These techniques significantly extend the power and range of previous methods. Researchers in the fields of VLSI, parallel computation, and graph theory will find this study of particular value; it is also accessible to anyone with an elementary knowledge of mathematics and computer science. The book is self-contained and presents in a unified and original manner many results scattered in the technical literature, while also covering new and fundamental results for the first time.


Complexity Issues in VLSI Related Books

Complexity Issues in VLSI
Language: en
Pages: 168
Authors: Frank Thomson Leighton
Categories: Electronic Circuit Design
Type: BOOK - Published: 1983 - Publisher: MIT Press (MA)

DOWNLOAD EBOOK

This book solves several mathematical problems in the areas of Very Large Scale Integration (VLSI) and parallel computation. In particular, it describes optimal
The Graph Isomorphism Problem
Language: en
Pages: 168
Authors: J. Kobler
Categories: Computers
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Recently, a variety ofresults on the complexitystatusofthegraph isomorphism problem has been obtained. These results belong to the so-called structural part of
Complexity Classifications of Boolean Constraint Satisfaction Problems
Language: en
Pages: 112
Authors: Nadia Creignou
Categories: Mathematics
Type: BOOK - Published: 2001-01-01 - Publisher: SIAM

DOWNLOAD EBOOK

Presents a novel form of a compendium that classifies an infinite number of problems by using a rule-based approach.
Optimization Problems in Graph Theory
Language: en
Pages: 341
Authors: Boris Goldengorin
Categories: Mathematics
Type: BOOK - Published: 2018-09-27 - Publisher: Springer

DOWNLOAD EBOOK

This book presents open optimization problems in graph theory and networks. Each chapter reflects developments in theory and applications based on Gregory Gutin
The Steiner Tree Problem
Language: en
Pages: 251
Authors: Hans Jürgen Prömel
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

In recent years, algorithmic graph theory has become increasingly important as a link between discrete mathematics and theoretical computer science. This textbo