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Cutwidth of iterated caterpillars∗

Published online by Cambridge University Press:  11 March 2013

Lan Lin  and
Yixun Lin
Lan Lin
Affiliation:
School of Electronics and Information Engineering, Tongji University, Shanghai 200092, China. The Key Laboratory of Embedded System and Service Computing, Ministry of Education, Tongji University, Shanghai 200092, China
Yixun Lin
Affiliation:
Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China. [email protected]
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Abstract

The cutwidth is an important graph-invariant in circuit layout designs. The cutwidth of agraph G is the minimum value of the maximum number of overlap edges whenG is embedded into a line. A caterpillar is a tree which yields a pathwhen all its leaves are removed. An iterated caterpillar is a tree which yields acaterpillar when all its leaves are removed. In this paper we present an exact formula forthe cutwidth of the iterated caterpillars.

Keywords

Circuit layout designgraph labelingcutwidthcaterpillariterated caterpillar
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 47 , Issue 2 , April 2013 , pp. 181 - 193
Copyright
© EDP Sciences 2013

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