On the General Sum-connectivity Index of Connected Unicyclic Graphs with K Pendant Vertices

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：yunpiaosifang

【摘要】

：

　　In this paper,we show that in the class of connected unicyclic graphs G of order n ≥3 having 0 ≤k ≤n − 3 pendant vertices,the unique graph G having mini

【作者】

：

ArshadMisbah;

【机构】

：

Abdus Salam School of Mathematical Sci.,GCU,Lahore,Pakistan

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年期

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　　In this paper,we show that in the class of connected unicyclic graphs G of order n ≥3 having 0 ≤k ≤n − 3 pendant vertices,the unique graph G having minimum general sum-connectivity index χα(G)consists of Cn−k and k pendant vertices adjacent to a unique vertex of Cn−k,if −1 ≤αi 0.This property does not hold for zeroth-order general Randić index 0Rα(G).

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On the General Sum-connectivity Index of Connected Unicyclic Graphs with K Pendant Vertices

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