Abstract | ||
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The eccentricity of a vertex v in a connected graph G is the distance between v and a vertex farthest from v. For a vertex v, we define the edge-added eccentricity of v as the minimum eccentricity of v in all graphs G + e, taken over all edges e in the complement of G. A graph is said to be edge-added stable (or just stable) if the eccentricity and the edge-added eccentricity are the same for all vertices in the graph. This paper describes properties of edge-added eccentricities and edge-added stable graphs. |
Year | Venue | Field |
---|---|---|
2002 | ARS COMBINATORIA | Graph center,Wheel graph,Discrete mathematics,Combinatorics,Graph power,Biconnected graph,Quartic graph,Cycle graph,Toroidal graph,Mathematics,Path graph |
DocType | Volume | ISSN |
Journal | 62 | 0381-7032 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Kevin McDougal | 1 | 0 | 1.69 |