Cutwidth of iterated caterpillars
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 47 (2013) no. 2, pp. 181-193.

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.

DOI : 10.1051/ita/2012032
Classification : 05C78, 68M10, 68R10
Mots-clés : circuit layout design, graph labeling, cutwidth, caterpillar, iterated caterpillar 
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     author = {Lin, Lan and Lin, Yixun},
     title = {Cutwidth of iterated caterpillars},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {181--193},
     publisher = {EDP-Sciences},
     volume = {47},
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     year = {2013},
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     url = {http://www.numdam.org/articles/10.1051/ita/2012032/}
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Lin, Lan; Lin, Yixun. Cutwidth of iterated caterpillars. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 47 (2013) no. 2, pp. 181-193. doi : 10.1051/ita/2012032. http://www.numdam.org/articles/10.1051/ita/2012032/

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