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Mathematical Problems of Computer Science 32, 45{47, 2009.

Selection of Output E lements by M inimum Cost Flow

Algor ithm

R u b e n O. A d a m ya n a n d S t e p a n E . Ma r ko s ya n

Yerevan State University
ruboam@yahoo.com

Abstract

During the placement stage of VLSI (Very Large Scale of Integration) physical
design phase it is needed to take into account the external connections of the placing
elements. So later, it is possible to get better result in routing stage. Thus it is required
to map external nets of a circuit to its elements in such a way that the maximum number
of nets corresponding to an element is minimal. In this article the problem is solved
by reducing it to the problem of ¯nding a minimum cost °ow of a given value in a
network.

Refer ences

[1 ] N .A . S h e r wa n i, Algorithms for VL SI P hysical D esign Automation, K lu we r A c a d e m ic
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[2 ] À.Â. Ïåòðîñÿí, Ñ.Å. Ìàðêîñÿí è Þ.Ã. Øóêóðÿí, Ìàòåìàòè÷åñêèå âîïðîñû
àâòîìàòèçàöèè ïðîýêòèðîâàíèÿ ÝÂÌ, Àêàäåìèÿ íàóê Àðìÿíêîé ÑÑÐ, 1977.

[3 ] E .A .D in it s , \ Th e m e t h o d o f s c a lin g a n d t r a n s p o r t a t io n p r o b le m s " , Studies in D iscrete
M athematics, Mo s c o w, p p . 4 6 -5 7 , 1 9 7 3 .

[4 ] H .N .Ga b o w, \ S c a lin g a lg o r it h m s fo r n e t wo r k p r o b le m s " , 24th Annual Symposium on
F oundations of Computer Science, N e w Y o r k, p p . 2 4 8 -2 5 7 , 1 9 8 3 .

[5 ] H .N .Ga b o w, \ S c a lin g a lg o r it h m s fo r n e t wo r k p r o b le m s " , J ournal of Computer and Sys-
tem Science 31, p p .1 4 8 -1 6 8 , 1 9 8 5 .

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4 6 Selection of Output Elements by Minimum Cost Flow Algorithm

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