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» Approximation of Pathwidth of Outerplanar Graphs
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WG
2001
Springer
13 years 9 months ago
Approximation of Pathwidth of Outerplanar Graphs
There exists a polynomial time algorithm to compute the pathwidth of outerplanar graphs [3], but the large exponent makes this algorithm impractical. In this paper, we give an alg...
Fedor V. Fomin, Hans L. Bodlaender
JGT
2007
81views more  JGT 2007»
13 years 5 months ago
Pathwidth of outerplanar graphs
We are interested in the relation between the pathwidth of a biconnected outerplanar graph and the pathwidth of its (geometric) dual. Bodlaender and Fomin [3], after having proved...
David Coudert, Florian Huc, Jean-Sébastien ...
IPL
2007
81views more  IPL 2007»
13 years 5 months ago
Linear-time algorithms for problems on planar graphs with fixed disk dimension
The disk dimension of a planar graph G is the least number k for which G embeds in the plane minus k open disks, with every vertex on the boundary of some disk. Useful properties ...
Faisal N. Abu-Khzam, Michael A. Langston
COMBINATORICS
2007
77views more  COMBINATORICS 2007»
13 years 5 months ago
Enumeration and Asymptotic Properties of Unlabeled Outerplanar Graphs
We determine the exact and asymptotic number of unlabeled outerplanar graphs. The exact number gn of unlabeled outerplanar graphs on n vertices can be computed in polynomial time,...
Manuel Bodirsky, Éric Fusy, Mihyun Kang, St...
JDA
2006
87views more  JDA 2006»
13 years 5 months ago
A 3-approximation for the pathwidth of Halin graphs
We prove that the pathwidth of Halin graphs can be 3-approximated in linear time. Our approximation algorithms is based on a combinatorial result about respectful edge orderings o...
Fedor V. Fomin, Dimitrios M. Thilikos