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},
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     publisher = {EDP-Sciences},
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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/

[1] J.A. Bondy and U.S.R. Murty, Graph Theory. Springer-Verlag, Berlin (2008). | MR | Zbl

[2] F.R.K. Chung, Labelings of graphs, edited by L.W. Beineke and R.J. Wilson. Selected Topics in Graph Theory 3 (1988) 151-168. | MR | Zbl

[3] F.R.K. Chung, On the cutwidth and topological bandwidth of a tree. SIAM J. Algbr. Discrete Methods 6 (1985) 268-277. | MR | Zbl

[4] J. Diaz, J. Petit and M. Serna, A survey of graph layout problems. ACM Comput. Surveys 34 (2002) 313-356.

[5] J.A. Gallian, A survey: recent results, conjectures, and open problems in labeling graphs. J. Graph Theory 13 (1989) 491-504. | MR | Zbl

[6] M.R. Garey and D.S. Johnson, Computers and Intractability: A Guide to the Theory of NP-Completeness. W.H. Freeman, San Francisco (1979). | MR | Zbl

[7] T. Lengauer, Upper and lower bounds for the min-cut linear arrangement of trees. SIAM J. Algbr. Discrete Methods 3 (1982) 99-113. | MR | Zbl

[8] Y. Lin, X. Li and A. Yang, A degree sequence method for the cutwidth problem of graphs. Appl. Math. J. Chinese Univ. Ser. B 17(2) (2002) 125-134. | MR | Zbl

[9] Y. Lin, The cutwidth of trees with diameter at most 4. Appl. Math. J. Chinese Univ. Ser. B 18(3) (2003) 361-368. | MR | Zbl

[10] H. Liu and J. Yuan, The cutwidth problem for graphs. Appl. Math. J. Chinese Univ. Ser. A 10 (3) (1995) 339-348. | MR | Zbl

[11] B. Monien, The bandwidth minimization problem for caterpipals with hair length 3 is NP-complete. SIAM J. Algbr. Discrete Methods 7 (1986) 505-512. | MR | Zbl

[12] J. Rolin, O. Sykora and I. Vrt'O, Optimal cutwidths and bisection widths of 2- and 3-dimensional meshes. Lect. Notes Comput. Sci. 1017 (1995) 252-264. | MR

[13] M. M. Syslo and J. Zak, The bandwidth problem: critical subgraphs and the solution for caterpillars. Annal. Discrete Math. 16 (1982) 281-286. | MR | Zbl

[14] I. Vrt'O, Cutwidth of the r-dimensional mesh of d-ary trees. RAIRO Theor. Inform. Appl. 34 (2000) 515-519. | EuDML | Numdam | MR | Zbl

[15] M. Yanakakis, A polynomial algorithm for the min-cut arrangement of trees. J. ACM 32 (1985) 950-989. | MR | Zbl

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