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On a Pin Versus Block Relationship For Partitions of Logic Graphs

Landman, B.S., Russo, R.L.·1971·IEEE Transactions on Computers

Abstract

Partitions of the set of blocks of a computer logic graph, also called a block graph, into subsets called modules demonstrate that a two-region relationship exists between P, the average number of pins per module, and B, the average number of blocks per module. In the first region, P = KBr, where K is the average number of pins per block and 0.57 ≤ r ≤ 0.75. In the second region, that is, where the number of modules is small (i.e., 1-5), P is less than predicted by the above formula and is given by a more complex relationship. These conclusions resulted from controlled partitioning experiments performed using a computer program to partition four logic graphs varying in size from 500 to 13 000 circuits representing three different computers. The size of a block varied from one NOR circuit in one of the block graphs to a 30-circuit chip in one of the other block graphs.

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Metadata

Authors
Landman, B. S., & Russo, R. L.
Venue
IEEE Transactions on Computers
Published
1971-12
Volume
C-20
Issue
12
Pages
1469-1479
ISSN
  • 0018-9340 (ISSN-L)
  • 1557-9956
  • 2326-3814
OpenAlex
W1970296212
Cited by
714
References
0
FWCI
7.68
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: On a Pin Versus Block Relationship For Partitions of Logic Graphs. https://app.cochat.ai/papers/10.1109/t-c.1971.223159
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Landman, B. S., & Russo, R. L. (1971). On a Pin Versus Block Relationship For Partitions of Logic Graphs. IEEE Transactions on Computers. https://doi.org/10.1109/t-c.1971.223159

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.