Palaniyappan Nithya, S. Elumalai, Selvaraj Balachandran
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引用次数: 0
Abstract
Let G be a graph with edge set E ( G ) . Denote by d u the degree of a vertex u in G . The atom-bond sum-connectivity (ABS) index of G is defined as ABS ( G ) = (cid:80) xy ∈ E ( G ) (cid:112) ( d x + d y − 2) / ( d x + d y ) . In this article, we determine the minimum possible value of the ABS index of unicyclic graphs of order n and maximum degree ∆ such that 3 ≤ ∆ ≤ n − 2 . All the graphs that attain the obtained minimum value are also characterized.
设 G 是边集 E ( G ) 的图。用 d u 表示 G 中顶点 u 的度。G 的原子-键和-连通性（ABS）指数定义为 ABS ( G ) = (cid:80) xy∈ E ( G ) (cid:112) ( d x + d y - 2) / ( d x + d y ) 。在本文中，我们确定了阶数为 n、最大度数为 ∆ 的单环图的 ABS 指数的最小可能值，使得 3 ≤ ∆ ≤ n - 2 。所有达到所求最小值的图形也都有其特征。
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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