## Abstract 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 that the pathwidth of every biconnected outerplanar graph is always at most twice the pathwidth of its (geo
Centers of maximal outerplanar graphs
β Scribed by Andrzej Proskurowski
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 178 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
The center of a graph is defined to be the subgraph induced by the set of vertices that have minimum eccentricities (i.e., minimum distance to the most distant vertices). It is shown that only seven graphs can be centers of maximal outerplanar graphs.
π SIMILAR VOLUMES
An outerplanar graph is a planar graph that can be imbedded in the plane in such a way that all vertices lie on the exterior face. An outerplanar graph is maximal if no edge can be added to the graph without violating the outerplanarity. In this paper, an optimal parallel algorithm is proposed on th
Chartrand and Harary have shown that if G is a non-outerplanar graph such that, for every edge e, both the deletion G \ e and the contraction G/e of e from G are outerplanar, then G is isomorphic to K4 or K2,3. An a-outerplanar graph is a graph which is not outerplanar such that, for some edge a , b
An outerplanar graph is one that can be embedded in the plane so that all of the vertices lie on one of the faces. We investigate a conjecture of Chartrand, Geller, and Hedetniemi, that every planar graph can be edge-partitioned into two outerplanar subgraphs. We refute the stronger statement that e
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