Issue |
RAIRO-Theor. Inf. Appl.
Volume 47, Number 2, April-June 2013
|
|
---|---|---|
Page(s) | 181 - 193 | |
DOI | https://doi.org/10.1051/ita/2012032 | |
Published online | 11 March 2013 |
Cutwidth of iterated caterpillars∗
1
School of Electronics and Information Engineering, Tongji
University, Shanghai
200092,
China.
2
The Key Laboratory of Embedded System and Service Computing,
Ministry of Education, Tongji University, Shanghai
200092,
China
3
Department of Mathematics, Zhengzhou University,
Zhengzhou
450052,
China
linyixun@zzu.edu.cn
Received:
7
September
2012
Accepted:
19
December
2012
The cutwidth is an important graph-invariant in circuit layout designs. The cutwidth of a graph G is the minimum value of the maximum number of overlap edges when G is embedded into a line. A caterpillar is a tree which yields a path when all its leaves are removed. An iterated caterpillar is a tree which yields a caterpillar when all its leaves are removed. In this paper we present an exact formula for the cutwidth of the iterated caterpillars.
Mathematics Subject Classification: 05C78 / 68M10 / 68R10
Key words: Circuit layout design / graph labeling / cutwidth / caterpillar / iterated caterpillar
© EDP Sciences 2013
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