Extremal values on the eccentric distance sum of trees

@article{Geng2013ExtremalVO,
  title={Extremal values on the eccentric distance sum of trees},
  author={Xianya Geng and Shuchao Li and Meng Zhang},
  journal={Discret. Appl. Math.},
  year={2013},
  volume={161},
  pages={2427-2439}
}

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This paper first characterize the unique graph with the maximum total reciprocal edge-eccentricity among all graphs with a given number of cut vertices, and determines the k -connected bipartite graphs of order n with diameter d having themaximum total reciprocal edges.
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Further results on the eccentric distance sum
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The eccentric connectivity index $\xi^c$ is a novel distance--based molecular structure descriptor that was recently used for mathematical modeling of biological activities of diverse nature. It is
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The nontrivial part of MTI is the quantity S, and the new notation is preferred because the symbol S can be associated with the name of th discoverer of the "molecular topological index".
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