J4 ›› 2010, Vol. 45 ›› Issue (12): 16-21.

• Articles • Previous Articles     Next Articles

Six-member ring spiro chains with extremal Wiener and  hyper-Wiener indices

LUO Zhao-yang1,2, CHEN Xiang-lian1, SUN De-rong1   

  1. 1. Department of Mathematics, Changji University, Changji 831100, Xinjiang, China;
    2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2009-10-21 Online:2010-12-16 Published:2011-03-16

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Abstract:

Let Gn be  Six-member ring spiro chains. Two expressions for the Wiener and hyper-Wiener indices of Six-member ring spiro chains Gn are obtained. It is proved that Gn=Zn and Gn=Ln attain the minimum and maximum of Wiener and hyper-Wiener indices respectively, and the corresponding extreme values are computed.

Key words: six-membered ring spiro chains; Wiener index; hyper-Wiener index; extremal graph

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