Connectivity of Planar Graphs
نویسندگان
چکیده
منابع مشابه
Connectivity of Planar Graphs
We give here three simple linear time algorithms on planar graphs: a 4-connexity test for maximal planar graphs, an algorithm enumerating the triangles and a 3-connexity test. Although all these problems got already linear-time solutions, the presented algorithms are both simple and efficient. They are based on some new theoretical results. Communicated by T. Nishizeki, R. Tamassia and D. Wagne...
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We consider dynamic subgraph connectivity problems for planar undirected graphs. In this model there is a fixed underlying planar graph, where each edge and vertex is either “off” (failed) or “on” (recovered). We wish to answer connectivity queries with respect to the “on” subgraph. The model has two natural variants, one in which there are d edge/vertex failures that precede all connectivity q...
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Motivated by applications to graph morphing, we consider the following compatible connectivity-augmentation problem: We are given a labelled n-vertex planar graph, G, that has r ≥ 2 connected components, and k ≥ 2 isomorphic planar straight-line drawings, G1, . . . ,Gk , of G. We wish to augment G by adding vertices and edges to make it connected in such a way that these vertices and edges can ...
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The eccentricity connectivity index of a molecular graph G is defined as (G) = aV(G) deg(a)ε(a), where ε(a) is defined as the length of a maximal path connecting a to other vertices of G and deg(a) is degree of vertex a. Here, we compute this topological index for some infinite classes of dendrimer graphs.
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ژورنال
عنوان ژورنال: Journal of Graph Algorithms and Applications
سال: 2001
ISSN: 1526-1719
DOI: 10.7155/jgaa.00041