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直径为3的单圈图的极小Hosoya指标

Study on Hosoya index of unicyclic graph with diameter 3
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摘要 图的Hosoya指标定义为图中包含空边集在内的匹配总数.基于这个定义,利用计算Hosoya指标的一些结论,计算了有n个顶点的直径为3的单圈图的最小与次小Hosoya指标,得到了具有最小与次小Hosoya指标的图的形式. The Hosoya index of a graph is the matching of the graph.Based on the definition of Hosoya index,this paper computed the minimum Hosoya index of unicyclic graph whose diameter was 3 and has n vertices using some conclusions of Hosoya index,and got the graph which has minimum Hosoya index.
作者 刘巧云 吴廷增 LIU Qiao-yun;WU Ting-zeng(School of Mathematics and Statistics,Qinghai Minzu University,Xining 810007,China)
出处 《哈尔滨商业大学学报(自然科学版)》 CAS 2021年第6期763-768,共6页 Journal of Harbin University of Commerce:Natural Sciences Edition
基金 国家自然科学基金(No.11971210) 青海省自然科学基金面上项目(No.2020-ZJ920) 青海民族大学校级项目(No.2021XJGH26) 青海民族大学科研创新团队。
关键词 HOSOYA指标 单圈图 直径 最小 简单连通图 Hosoya index unicyclic graph diameter minimum simple connected graph
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