A New Algorithm for Drawing the Shuffle-Exchange Graph

혼합-교환도 작성을 위한 새 알고리즘

  • Lee, Sung Woo (Dept. of Elec. Dong-yang Tech. College) ;
  • Hwang, Ho Jung (Dept. of Elec. Eng., Jung-Ang Univ.)
  • 이성우 (동양공업전문대학 전자공학과) ;
  • 황호정 (중앙대학교 전자과)
  • Published : 1986.02.01

Abstract

In case of VLSI design, the shuffle-exchange graph is useful for optimal layout. HOEY and LEISERSON proposed the method of drawing a N-nodes shuffle-exchange graph on O(N2/log N) layout area by using the complex plane digram. [2] In this paper, a new algorithm for drawing the shuffle-exchange graph is proposed. This algorithm is not by using the complex plane diabram, but the table of e decimal represented nodes of shuffle-edge relations. And the structural properties for optimal layout of the graph are summarized and verified. By using this more simplified algorithm, a FORTRAN program which can be treated faster is written. Aimed near optimal shuffle-exchange graphs are printed out by giving inputs` the number of nodes.

Keywords