Lower Bounds On Communication Complexity in Vlsi
Lower Bounds On Communication Complexity in Vlsi
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. . , v, o. V ^^ ^^^ vertices on this path, where Vq is the root and V|p V is the leaf. Delete P, and the wire edges descending from each node along P. We arc left with disjoint complete binary trees, containing, respectively, N/2, N/4, ... , 1 leaves. Thus we obtain the following recurrence equation for the total horizontal wire length, L{N): \oeS L{N) ^ N/2 + 2 L(N/2') for N>\ 1 = 1 L(l) = 0. This has the solution L(N) = n(N\ogN). A It follows, of course, that if adjacent leaves have a spacin...g of unity, that the layout height of the circuit is n(logA'). For applications involving broadcasting, a leaf might represent a processing element having large length and width. Thus it is necessary to know how the area and layout height are affected when we permit the leaves to be spread out with a spacing that is » 1.
Corollary 2: Consider a circuit that contains a complete binary tree of N leaves, which are constrained to lie along a straight line, and for which some pair of leaves are distance S Page 5 apart.
What to read after Lower Bounds On Communication Complexity in Vlsi?
You can find similar books in the "Read Also" column, or choose other free books by Richard Cole to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
. . , v, o. V ^^ ^^^ vertices on this path, where Vq is the root and V|p V is the leaf. Delete P, and the wire edges descending from each node along P. We arc left with disjoint complete binary trees, containing, respectively, N/2, N/4, ... , 1 leaves. Thus we obtain the following recurrence equation for the total horizontal wire length, L{N): \oeS L{N) ^ N/2 + 2 L(N/2') for N>\ 1 = 1 L(l) = 0. This has the solution L(N) = n(N\ogN). A It follows, of course, that if adjacent leaves have a spacin...g of unity, that the layout height of the circuit is n(logA'). For applications involving broadcasting, a leaf might represent a processing element having large length and width. Thus it is necessary to know how the area and layout height are affected when we permit the leaves to be spread out with a spacing that is » 1.
Corollary 2: Consider a circuit that contains a complete binary tree of N leaves, which are constrained to lie along a straight line, and for which some pair of leaves are distance S Page 5 apart.
What to read after Lower Bounds On Communication Complexity in Vlsi?
You can find similar books in the "Read Also" column, or choose other free books by Richard Cole to read onlineMoreLess
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