The ABC energies of several classes of special graphs
LIU Haiqin, SHAO Yanling
(1.The Ministry of Basic, Shanxi Agricultural University, Taigu 030801, Shanxi, China;2.College of Big Data, North University of China, Taiyuan 030051, China;3.School of Science, North University of China, Taiyuan 030051, China)
Abstract:The ABC energy of G is the sum of absolute values of the eigenvalues of ABC(G), that is EABC(G)=|(n)λi|. In this paper, the ABC characteristic polynomials of Pn、Sn、Kn、Km,n、Fn、Dn(4) are analyzed by using the definition and properties of ABC energy of graphs and combining the structures of several special graphs. The corresponding ABC energy is given, and the change trend of ABC energy of Pn、Sn、Kn after deleting an edge is given.
刘海琴,邵燕灵. 几类特殊图的ABC能量[J]. 华中师范大学学报(自然科学版), 2022, 56(3): 401-406.
LIU Haiqin,SHAO Yanling. The ABC energies of several classes of special graphs. journal1, 2022, 56(3): 401-406.