给定最大匹配数的树的零阶广义Randi指标Extremal trees with repected to zeroth-order general Randi index
林启法;钱建国;
摘要(Abstract):
图G的零阶广义Randi指标定义为0Rα(G)=v∈V(G)d(v)α,其中d(v)为图G的顶点v的度,α为任意实数.研究了树的零阶广义Rα指标的极值问题,利用分析和图的理论,确定了任意给定最大匹配数的树的最大和最小Rα的值,并刻画了达到该极值的树.
关键词(KeyWords): 树;零阶广义Randi指标;最大匹配数
基金项目(Foundation): 国家自然科学基金(10831001);; 福建省教育厅科技项目(JA08266);; 宁德师范高等专科学校科研项目(2008102)
作者(Authors): 林启法;钱建国;
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