Title
Planar Straight-Line Embedding of Double-Tree Scan Architecture on a Rectangular Grid
Abstract
Double-tree-scan (DTS) is a new scan-path architecture that is deemed to be suitable for low-power testing of VLSI circuits. A full DTS resembles two complete k-level (k 0) binary trees whose leaf nodes are merged pair-wise, and thus consists of exactly N$_{k}$ = 3 × 2$^{k}$ − 2 nodes. In this paper, the problem of planar straight-line embedding of a "double-tree graph" on a rectangular grid is investigated and an O(N$_{k}$) time algorithm for drawing it, is described. The embedding requires at most 2N$_{k}$ grid points, with an aspect ratio lying between 1 and &frac32;. Next, techniques of embedding a partial DTS is considered when the number of nodes n ≠ 3 × 2$^{k}$ − 2, for some k. Layouts of double-tree scan-paths for some benchmark circuits are also presented to demonstrate the results.
Year
Venue
Keywords
2008
Fundam. Inform.
partial dts,double-tree scan architecture,rectangular grid,nodes n,benchmark circuit,aspect ratio,grid point,planar straight-line embedding,full dts,double-tree graph,vlsi circuit,double-tree scan-paths,graph drawing
Field
DocType
Volume
Graph drawing,Discrete mathematics,Line (geometry),Combinatorics,Embedding,Binary tree,Planar,Very-large-scale integration,Mathematics,Grid,Whippletree
Journal
89
Issue
ISSN
Citations 
2-3
0169-2968
2
PageRank 
References 
Authors
0.37
10
4
Name
Order
Citations
PageRank
Indranil Saha129618.27
Bhargab B. Bhattacharya2848118.02
Sheng Zhang320.37
Sharad C. Seth467193.61