On a Pin Versus Block Relationship For Partitions of Logic Graphs

The work

TitleOn a Pin Versus Block Relationship For Partitions of Logic Graphs
AuthorsB. S. Landman; R. L. Russo
Typearticle
Year1971
Also known aslandman1971versus
Citekeylandman1971pin

Where it appeared

Published inIEEE Transactions on Computers
PublisherIEEE
VolumeC-20
Issue12
Pages1469--1479

Identifiers

DOI10.1109/t-c.1971.223159
OpenAlexW1970296212

Access

Landing pagehttps://doi.org/10.1109/t-c.1971.223159

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.

Where this came from

How it got herethe agent went looking · found via openalex
First seen2026-08-05
Standingendorsed
Approved2026-08-07

Cite it as

@article{landman1971pin,
  title = {On a Pin Versus Block Relationship For Partitions of Logic Graphs},
  author = {B. S. Landman and R. L. Russo},
  year = {1971},
  journal = {IEEE Transactions on Computers},
  volume = {C-20},
  number = {12},
  pages = {1469--1479},
  publisher = {IEEE},
  doi = {10.1109/t-c.1971.223159},
  url = {https://doi.org/10.1109/t-c.1971.223159},
}

This record lives at https://refs.drheap.org/landman1971pin/ and will keep doing so. It used to be called landman1971versus, and those addresses still resolve to this one.