给定边数的超仙人掌图的第二大Pareto H-特征值  

The second largest Pareto H-eigenvalues of hypercactus with a given number of edges

作　　者：赵亚萍 朱忠熏 郑李怡 谭连生[3] ZHAO Yaping;ZHU Zhongxun;ZHENG Liyi;TAN Liansheng(College of Mathematics and Statistics,South-Central Minzu University,Wuhan 430074,China;College of Preparatory Education,South-Central Minzu University,Wuhan 430074,China;Computer Science Department,Central China Normal University,Wuhan 430079,China)

机构地区：[1]中南民族大学数学与统计学学院,武汉430074 [2]中南民族大学预科教育学院,武汉430074 [3]华中师范大学计算机科学学院,武汉430079

出　　处：《中南民族大学学报（自然科学版）》2024年第5期718-720,共3页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家自然科学基金资助项目(62173157);中央高校基本科研业务费专项资金资助项目(CZY23009)。

摘　　要：设λ_(2)(H)是超图H的第二大Pareto H-特征值,探讨了超仙人掌图的Pareto H-特征值,特别地,通过刻画超仙人掌的极值图,给出了超仙人掌图的第二大Pareto H-特征值的上界并刻画出了该上界所对应的极值超图.Let λ_(2)(H)be the second largest Pareto H-eigenvalue of hypergraph H.The Pareto H-eigenvalue of hypercactus is discussed.In particular,by characterizing the extremal hypergraph of hypercactus,an upper bound on the second largest Pareto H-eigenvalue of hypercactus is given and the extremal hypergraph corresponding to the upper bound is described.

关 键 词：Pareto H-特征值 超仙人掌图 谱半径 

分 类 号：O622[理学—有机化学] O623[理学—化学]