Download Algorithms for VLSI Design Automation by Sabih H. Gerez PDF

By Sabih H. Gerez

Modern microprocessors reminiscent of Intel's Pentium chip quite often include hundreds of thousands of transitors. recognized generically as Very Large-Scale built-in (VLSI) platforms, the chips have a scale and complexity that has necessitated the advance of CAD instruments to automate their layout. This booklet specializes in the algorithms that are the construction blocks of the layout automation software program which generates the structure of VLSI circuits. one of many first books at the topic, this advisor covers all levels of design.

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A straightforward way is to enumerate all possible paths between u, and u1 and then select the shortest one. This is not very efficient. It is for example possible to construct graphs whose sizes grow linearly with some parameter k, while the number of paths grows exponentially. 13: it has 2k * 2 vertices (ft pairs of vertices together with u, and uv) and 4k edges, while the number of possible paths from u, to u, is 2k (at each ofthe first ft vertical positions one can choose between two edges to proceed to the right).

Verilog is explained in [Tho9l] and [Gol96]. Examples of graphics tools forhigh-level specifications are presented in lHar9Oal and [Ama94]. Silicon compilation is the topic of [Gaj88b] and [Dut90]. An interesting paper that considers the evolution of the ideas for building a commercial silicon compiler over a period of ten years is [Joh89]. Hardware-software co-design has received quite some attention in recent years leading to several books on the topic including [Gup95], [DM96], [Bal97], [BeO7] and [Sta98].

The time complexity of Dijkstra's algorithm depends on the exact type of data structures used. 14) requires O(n) time, where n : lVl, because all vertices in Y have to be inspected in order to 37 3. a, us, uo] lut, uq, Ds, u6, t)z\ {ut, uq, u5, u6, u2, u3) 6oo13 66? 16 The evolution of the di s t anc e attributes in Dijkstra's algorithm when applied ul and ut u2. to the graph of Figure 3. 15; us Figure : : find the one with minimal distance attribute. As the loop is executed (2(n) times, this results in a contribution to the overall time complexity of O(n2).

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