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The reconstruction of outerplanar graphs

✍ Scribed by William B Giles


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
746 KB
Volume
16
Category
Article
ISSN
0095-8956

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πŸ“œ SIMILAR VOLUMES


On reconstructing maximal outerplanar gr
✍ William B. Giles πŸ“‚ Article πŸ“… 1974 πŸ› Elsevier Science 🌐 English βš– 421 KB

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

Pathwidth of outerplanar graphs
✍ David Coudert; Florian Huc; Jean-SΓ©bastien Sereni πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 238 KB

## 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

Characterizations of outerplanar graphs
✍ Maciej M. SysΕ‚o πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 750 KB

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

Centers of maximal outerplanar graphs
✍ Andrzej Proskurowski πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 178 KB

## 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.