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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