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.
@article{ITA_2013__47_2_181_0,
author = {Lin, Lan and Lin, Yixun},
title = {Cutwidth of iterated caterpillars},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
volume = {47},
year = {2013},
pages = {181-193},
doi = {10.1051/ita/2012032},
mrnumber = {3072317},
zbl = {1266.05140},
language = {en},
url = {http://dml.mathdoc.fr/item/ITA_2013__47_2_181_0}
}
Lin, Lan; Lin, Yixun. Cutwidth of iterated caterpillars. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 47 (2013) pp. 181-193. doi : 10.1051/ita/2012032. http://gdmltest.u-ga.fr/item/ITA_2013__47_2_181_0/
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