山西大学学报（自然科学版）2025，Vol.48Issue(2)：322-331,10.DOI:10.13451/j.sxu.ns.2023164
树的第三小与第四小ABC能量
Trees with the Third and Fourth Minimum ABC Energy
摘要
Abstract
In order to find the trees with the third and fourth minimum ABC energy among all trees on n ≥13 vertices,the results of this problem are given by using edge deletion operation of graphs,the reduction of inequality and the corollary of the Coulson-type integral formula.The results show that among all tree of n ≥13 vertices,An and Bn are the unique tree with the third and fourth mini-mum ABC energy,respectively.The obtained results have certain reference value for the study of the ABC energy of extrema value problem of trees,and it is also useful to speculate on the properties of the relevant chemical molecular structure.关键词
图/ABC矩阵/ABC特征值/删边变换Key words
graph/ABC matrix/ABC eigenvalues/edge deletion分类
数理科学引用本文复制引用
付彦杰,高玉斌..树的第三小与第四小ABC能量[J].山西大学学报（自然科学版）,2025,48(2):322-331,10.基金项目
山西省回国留学人员科研资助项目(2022-149) （2022-149）
