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» 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 4 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 4 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
CCCG
2007
13 years 6 months ago
Straight-line Drawings of Outerplanar Graphs in O(dn log n) Area
We show an algorithm for constructing O(dn log n) area outerplanar straight-line drawings of n-vertex outerplanar graphs with degree d. Also, we settle in the negative a conjectur...
Fabrizio Frati
JGT
2007
85views more  JGT 2007»
13 years 4 months ago
On self duality of pathwidth in polyhedral graph embeddings
: Let G be a 3-connected planar graph and G∗ be its dual. We show that the pathwidth of G∗ is at most 6 times the pathwidth of G. We prove this result by relating the pathwidth...
Fedor V. Fomin, Dimitrios M. Thilikos