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10.1155/2016/3873597

http://scihub22266oqcxt.onion/10.1155/2016/3873597
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C4876216!4876216!27247613
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suck abstract from ncbi

pmid27247613      Comput+Math+Methods+Med 2016 ; 2016 (ä): ä
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  • On the Extremal Wiener Polarity Index of Hückel Graphs #MMPMID27247613
  • Wang H
  • Comput Math Methods Med 2016[]; 2016 (ä): ä PMID27247613show ga
  • Graphs are used to model chemical compounds and drugs. In the graphs, each vertex represents an atom of molecule and edges between the corresponding vertices are used to represent covalent bounds between atoms. The Wiener polarity index Wp(G) of a graph G is the number of unordered pairs of vertices u, v of G such that the distance between u and v is equal to 3. The trees and unicyclic graphs with perfect matching, of which all vertices have degrees not greater than three, are referred to as the Hückel trees and unicyclic Hückel graphs, respectively. In this paper, we first consider the smallest and the largest Wiener polarity index among all Hückel trees on 2n vertices and characterize the corresponding extremal graphs. Then we obtain an upper and lower bound for the Wiener polarity index of unicyclic Hückel graphs on 2n vertices.
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