VLSI Planarization Methods, Models, Implementation

Methods, Models, Implementation

By: V.Z. Feinberg, A.G. Levin, E.B. Rabinovich

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Hardcover | 1 April 1997

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196 Pages

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25.4 x 17.15 x 1.91

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At the beginning we would like to introduce a refinement. The term 'VLSI planarization' means planarization of a circuit of VLSI, Le. the embedding of a VLSI circuit in the plane by different criteria such as the minimum number of connectors, the minimum total length of connectors, the minimum number of over-the-element routes, etc. A connector is designed to connect the broken sections of a net. It can be implemented in different ways depending on the technology. Connectors for a bipolar VLSI are implemented by diffused tun nels, for instance. By over-the-element route we shall mean a connection which intersects the enclosing rectangle of an element (or a cell). The possibility of the construction such connections during circuit planarization is reflected in element models and can be ensured, for example, by the availability of areas within the rectangles where connections may be routed. VLSI planarization is one of the basic stages (others will be discussed below) of the so called topological (in the mathematical sense) approach to VLSI design. This approach does not lie in the direction of the classical approach to automation of VLSI layout design. In the classical approach to computer aided design the placement and routing problems are solved successively. The topological approach, in contrast, allows one to solve both problems at the same time. This is achieved by constructing a planar embedding of a circuit and obtaining the proper VLSI layout on the basis of it.

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`Altogether, the book is very well written and a good piece of work. All the notions are clearly defined and the proofs are presented in detail. Many pictures illustrate the subjects discussed and help to make things clear and understandable.'
Mathematical Reviews, 98m

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You Can Find This Book In

Non-Fiction Engineering & Technology Electronics & Communications Engineering Electronics Engineering Circuits & Components Computing & I.T.Computer Science Computer Architecture & Logic Design Energy Technology & Engineering Electrical Engineering Computer Programming & Software Development Algorithms & Data Structures

Databases Data Capture & Analysis Artificial Intelligence Mathematics Applied Mathematics Mathematical Theory of Computation

Introduction	p. 1
Discrete Mathematics Fundamentals	p. 7
Graph Planarization	p. 27
Hypergraph Planarization	p. 45
Mathematical Models for VLSI Planarization Problem	p. 87
Extracting a Maximum Planar VLSI Part	p. 99
Constructing Nonplanar Connections	p. 121
Planarization System Structure	p. 133
References	p. 173
Index	p. 181
Table of Contents provided by Blackwell. All Rights Reserved.

VLSI Planarization Methods, Models, Implementation

Methods, Models, Implementation

At a Glance

Hardcover

Industry Reviews

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