Given a connected outerplanar graph G with pathwidth p, we give an algorithm to add edges to G to get a supergraph of G, which is 2-vertex-connected, outerplanar and of pathwidth O(p). As a consequence, we get a constant factor approximation algorithm to compute a straight line planar drawing of any outerplanar graph, with its vertices placed on a two dimensional grid of minimum height. This settles an open problem raised by Biedl [3]. © 2013 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Babu, J., Basavaraju, M., Chandran Leela, S., & Rajendraprasad, D. (2013). 2-connecting outerplanar graphs without blowing up the pathwidth. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7936 LNCS, pp. 626–637). https://doi.org/10.1007/978-3-642-38768-5_55
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