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graph labeling

RAIRO - Theoretical Informatics and Applications (1)

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Cutwidth of iterated caterpillars ∗
Lan Lin, Yixun Lin
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 47 / Issue 2 / April 2013

Published online by Cambridge University Press:

11 March 2013, pp. 181-193

Print publication:

April 2013
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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.