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Reconstruction of maximal outerplanar graphs

✍ Scribed by Bennet Manvel

Publisher: Elsevier Science
Year: 1972
Tongue: English
Weight: 1011 KB
Volume: 2
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(72)90007-6

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On reconstructing maximal outerplanar gr

On reconstructing maximal outerplanar graphs

✍ William B. Giles 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 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

Centers of maximal outerplanar graphs

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## 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.

An Optimal Simple Parallel Algorithm for

An Optimal Simple Parallel Algorithm for Testing Isomorphism of Maximal Outerplanar Graphs

✍ Shan-Chyun Ku; Biing-Feng Wang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 91 KB

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

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✍ David Coudert; Florian Huc; Jean-Sébastien Sereni 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 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

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✍ Maciej M. Sysło 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 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

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✍ Wargo, Lawrence 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 528 KB

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