This is the 1st booklet to target the topological index, the Harary index, of a graph, together with its mathematical houses, chemical purposes and a few comparable and tasty open difficulties. This e-book is devoted to Professor Frank Harary (1921―2005), the grandmaster of graph thought and its purposes. It has be written by way of specialists within the box of graph concept and its purposes. For a attached graph G, as a major distance-based topological index, the Harary index H(G) is outlined because the sum of the reciprocals of the gap among any unordered vertices of the graph G. during this publication, the authors record at the most recent effects at the Harary index of a graph. those effects customarily predicament exterior graphs with recognize to the Harary index; the family members to different topological indices; its houses and functions to natural graph idea and chemical graph idea; and major editions, i.e., additively and multiplicatively weighted Harary indices. within the final bankruptcy, we current a few open difficulties with regards to the Harary index. As such, the ebook won't basically be of curiosity to graph researchers, yet to mathematical chemists as well.

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