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Ivanciuc, O., Ivanciuc, T. and Balaban, A.T. (1999) Vertex- and Edge-Weighted Molecular Graphs and Derived Structural Descriptors. In: Devillers, J. and Balaban, A.T., Eds., Topological Indices and Related Descriptors in QSAR and QSPR, Gordon and Breach, Amsterdam, 169-220.

has been cited by the following article:

• TITLE: Reciprocal Complementary Wiener Numbers of Non-Caterpillars

  AUTHORS: Yanli Zhu, Fuyi Wei, Feng Li

  KEYWORDS: Reciprocal Complementary Wiener Number, Wiener Number, Caterpillar

  JOURNAL NAME: Applied Mathematics, Vol.7 No.3, February 26, 2016

  ABSTRACT: The reciprocal complementary Wiener number of a connected graph G is defined as where is the vertex set. is the distance between vertices u and v, and d is the diameter of G. A tree is known as a caterpillar if the removal of all pendant vertices makes it as a path. Otherwise, it is called a non-caterpillar. Among all n-vertex non-cater- pillars with given diameter d, we obtain the unique tree with minimum reciprocal complementary Wiener number, where . We also determine the n-vertex non-caterpillars with the smallest, the second smallest and the third smallest reciprocal complementary Wiener numbers.