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- W2957473079 abstract "The eccentricity of a vertex v in a graph G is the maximum distance between v and any other vertex of G. The diameter of a graph G is the maximum eccentricity of a vertex in G. The eccentric connectivity index of a connected graph is the sum over all vertices of the product between eccentricity and degree. Given two integers n and D with D≤n−1, we characterize those graphs which have the largest eccentric connectivity index among all connected graphs of order n and diameter D. As a corollary, we also characterize those graphs which have the largest eccentric connectivity index among all connected graphs of a given order n." @default.
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- W2957473079 date "2019-09-01" @default.
- W2957473079 modified "2023-10-09" @default.
- W2957473079 title "Maximum eccentric connectivity index for graphs with given diameter" @default.
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- W2957473079 doi "https://doi.org/10.1016/j.dam.2019.04.031" @default.
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