关于图的Aα-谱半径及α-邻接能量的研究On the Aα-spectral Radius Amd the α-adjacency Energy of Graphs
张卓琳,张海霞,谢秀梅
摘要(Abstract)：
设G是有n个顶点m条边的简单图，对于任意实数α∈[0,1],Nikiforov定义了图G的α-邻接矩阵A_α(G)=αD(G)+(1-α)A(G),其中D(G)和A(G)分别是图G的度对角矩阵和邻接矩阵。A_α(G)的最大特征值，称为G的A_α-谱半径，记为ρ_1,G的α-邻接能量记为E~(Aα)(G).将给出ρ_1的两个下界和图G的α-邻接能量的上界及相应的极值图。
关键词(KeyWords)： α-邻接矩阵;A_α-谱半径;α-邻接能量;极值图
基金项目(Foundation): 国家自然科学基金(11901421);; 太原科技大学博士启动金项目(20182051)
作者(Author): 张卓琳,张海霞,谢秀梅
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