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Unique eccentric point graphs

โœ Scribed by K.R. Parthasarathy; R. Nandakumar


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
286 KB
Volume
46
Category
Article
ISSN
0012-365X

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The eccentricity e(v) of a vertex v in a connected graph G is the distance between v and a vertex farthest from v. The eccentricity e(G) of G is the minimum integer k such that every vertex of G with eccentricity at least k is an eccentric vertex. A graph G is an eccentric graph if every vertex of

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For a vertex v and a (k ฯช 1)-element subset P of vertices of a graph, one can define the distance from v to P in various ways, including the minimum, average, and maximum distance from v to P. Associated with each of these distances, one can define the k-eccentricity of the vertex v as the maximum d