On Embedding Rectangular Grids in Square Grids

  • Authors:
  • R. Aleliunas;A. L. Rosenberg

  • Affiliations:
  • Department of Computer Science, University of Waterloo;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1982

Quantified Score

Hi-index 14.98

Visualization

Abstract

The main results in this paper demonstrate that there exist pairs of integers (for "area Expansion" and "edge Dilation," respectively) such that any n-vertex rectangular grid can be embedded into a square grid having at most En vertices, in such a way that images in the square grid of vertices that are adjacent in the rectangular grid are at most distance D apart. Several techniques for "sq