On a relation between Szeged and Wiener indices of bipartite graphs

Hansen et. al., using the AutoGraphiX software package, conjectured that the Szeged index Sz(G) and the Wiener index W(G) of a connected bipartite graph G with n ≥ 4 vertices and m ≥ n edges, obeys the relation Sz(G) − W(G) ≥ 4n − 8. Moreover, this bound would be the best possible. This paper offers...

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Bibliographic Details
Main Authors: Ivan Gutman, Mengmeng Liu, Xueliang Li, Lilly Chen
Format: Article
Language:English
Published: University of Isfahan 2012-12-01
Series:Transactions on Combinatorics
Subjects:
Online Access:http://www.combinatorics.ir/?_action=showPDF&article=2450&_ob=f60e633a9517e5740e317c53c0e58e76&fileName=full_text.pdf.