On the Extension of Graphs with a Given Diameter without Superfluous Edges
Ferdinand Gliviak, Peter Kyš, Ján Plesník (1969)
Matematický časopis
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Ferdinand Gliviak, Peter Kyš, Ján Plesník (1969)
Matematický časopis
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Discussiones Mathematicae Graph Theory
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In a graph G, the distance d(u, v) between a pair of vertices u and v is the length of a shortest path joining them. The eccentricity e(u) of a vertex u is the distance to a vertex farthest from u. The minimum eccentricity is called the radius, r(G), of the graph and the maximum eccentricity is called the diameter, d(G), of the graph. The super-radial graph R*(G) based on G has the vertex set as in G and two vertices u and v are adjacent in R*(G) if the distance between them in G is...
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