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Titlebook: VLSI Planarization; Methods, Models, Imp V. Feinberg,A. Levin,E. Rabinovich Book 1997 Springer Science+Business Media Dordrecht 1997 Hyperg

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發(fā)表于 2025-3-21 16:40:14 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱VLSI Planarization
副標題Methods, Models, Imp
編輯V. Feinberg,A. Levin,E. Rabinovich
視頻videohttp://file.papertrans.cn/981/980100/980100.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: VLSI Planarization; Methods, Models, Imp V. Feinberg,A. Levin,E. Rabinovich Book 1997 Springer Science+Business Media Dordrecht 1997 Hyperg
描述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
出版日期Book 1997
關鍵詞Hypergraph; Mathematica; VLSI; algorithms; circuit; complexity; complexity theory; computer; development; gra
版次1
doihttps://doi.org/10.1007/978-94-011-5740-7
isbn_softcover978-94-010-6421-7
isbn_ebook978-94-011-5740-7
copyrightSpringer Science+Business Media Dordrecht 1997
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:15:58 | 只看該作者
Hypergraph Planarization, different mathematical models for circuits and introduced corresponding definitions of circuit model planarity which are more suitable for solving the circuit planarization problem. The necessity of solving circuit planarization problems gave rise to a new definition of a planar hypergraph [83] based on the realization concept.
板凳
發(fā)表于 2025-3-22 01:10:41 | 只看該作者
Graph Planarization,be drawn on a plane with no two edges crossing each other. The resultant planar graph image is called an . of the graph in the plane or a .. Figure 2.1 shows two planar graphs, only the second of which is plane.
地板
發(fā)表于 2025-3-22 07:24:19 | 只看該作者
Extracting a Maximum Planar VLSI Part,e original hypergraph model to a planar hypergraph. This transformation is performed by splitting hyperedges, i.e. a hyperedge . ∈ . of the set .′ is associated with the disjoint hyperedges whose union coincides with ..
5#
發(fā)表于 2025-3-22 11:33:05 | 只看該作者
bedding 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
6#
發(fā)表于 2025-3-22 16:18:27 | 只看該作者
7#
發(fā)表于 2025-3-22 17:26:06 | 只看該作者
Discrete Mathematics Fundamentals,.. Elements of . are called . and elements of . are called .. A graph is normally represented schematically as points and lines joining some of these points. The points are associated with vertices of a graph, whereas, lines joining pairs of points are associated with its edges. Figure 1.1 shows a g
8#
發(fā)表于 2025-3-22 22:48:38 | 只看該作者
9#
發(fā)表于 2025-3-23 03:42:58 | 只看該作者
Hypergraph Planarization,Konig representation. In general, such a definition of a planar hypergraph is not adequate for the planarity of an electrical circuit. In fact, in the layout of a planar circuit the nets correspond to trees which cannot be replaced by star-type subgraphs without creating nonplanarity in all cases. T
10#
發(fā)表于 2025-3-23 06:30:02 | 只看該作者
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