Sharp bounds on the zeroth-order general Randić indices of conjugated bicyclic graphs

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• 作者：Shuchao Li^a ; ^{lscmath@mail.ccnu.edu.cn} ; Minjie Zhang^b ; ^{zmj1982@21cn.com}
• 关键词：Zeroth-order general Randi&#x107 ; index ; Bicyclic graph ; Perfect matching
• 刊名：Mathematical and Computer Modelling
• 出版年：2011
• 出版时间：May 2011
• 年：2011
• 卷：53
• 期：9-10
• 页码：1990-2004
• 全文大小：370 K

文摘

The zeroth-order general Randić index of a (molecular) graph G is defined as ∑_vV(G)(d(v))^α, where d(v) is the degree of vertex v in G, and α is an arbitrary real number. In this paper, we investigate the zeroth-order general Randić index of conjugated bicyclic graphs (i.e., bicyclic graphs with perfect matchings). We characterized the conjugated bicyclic graphs with maximum and minimum according to α in different intervals.