给定顶点和最大度树图的最大Sum-Balaban指标
The Maximum Sum-Balaban Index of Tree Graph with Given Vertices and Maximum Degree
摘要:
通过图的操作的方法,本文给出了给定顶点和最大度树图中,取得最大Sum-Balaban指标的极图。
Abstract: In this paper, by using the graph operation, we determine the extremal graph which attains the maximum Sum-Balaban index among trees with given vertices and maximum degree.
参考文献
[1]
|
Balaban, A.T., Khadikar, P.V. and Aziz, S. (2010) Comparison of topological indices based on iterated “sum” versus “product” operations. Iranian Journal of Mathematical Chemistry, 1, 43-67.
|
[2]
|
Deng, H. (2011) On the Sum-Balaban index. MATCH Communications in Mathematical and in Computer Chemistry, 66, 273-284.
|
[3]
|
Xing, R., Zhou, B. and Grovac, A. (2012) On Sum-Balaban index. Ars Combinatoria, 104, 211-223.
|
[4]
|
You, L. and Han, H. (2013) The maximum Sum-Balaban index of trees with given diameter. Ars Combinatoria, Accepted.
|
[5]
|
Dong, H. and Guo, X. (2011) Character of trees with extreme Balaban index. MATCH Communications in Mathematical and in Computer Chemistry, 66, 261-272.
|