The reconstruction of outerplanar graphs
β Scribed by William B Giles
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 746 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let C; be a graph, u a vertex of G, and G -{u) the subgraph of G obtained from G by removing the vertex u and all arcs incident with u. G-$1 is calted a point~e~eti~n of G. In f 51, Ulam conjectured that if G has at least three vertices, then G can be reconstructed (up to isomorphism) froin the coil
## 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
The paper presents several characterizations of outerp:anar graphs, some of them are counterparts of the well-known characterizations of planar graphs and the other provide very efficient tools for outerplanarity testing, coding (i.e. isomorphism testing), and counting such graphs. Finally, we attem
## 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.