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The (Multiplicative Degree-) Kirchhoff Index of Graphs Derived from the Cartesian Product of Sn and K2
被引:1
|作者:
Liu, Jia-Bao
[1
]
Peng, Xin-Bei
[1
]
Gu, Jiao-Jiao
[1
]
Lin, Wenshui
[2
]
机构:
[1] Anhui Jianzhu Univ, Sch Math & Phys, Hefei 230601, Peoples R China
[2] Xiamen Univ, Sch Informat, Xiamen 361005, Peoples R China
基金:
中国国家自然科学基金;
关键词:
SPANNING-TREES;
NORMALIZED LAPLACIAN;
WIENER INDEX;
RESISTANCE DISTANCE;
GUTMAN INDEX;
NUMBER;
D O I:
10.1155/2022/1670984
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
It is well known that many topological indices have widespread use in lots of fields about scientific research, and the Kirchhoff index plays a major role in many different sectors over the years. Recently, Li et al. (Appl. Math. Comput. 382 (2020) 125335) proposed the problem of determining the Kirchhoff index and multiplicative degree-Kirchhoff index of graphs derived from S(n)xK(2), the Cartesian product of the star Sn, and the complete graph K-2. In the present study, we completely solve this problem, that is, the explicit closed-form formulae of the Kirchhoff index, multiplicative degree-Kirchhoff index, and number of spanning trees are obtained for some graphs derived from S(n)xK(2).
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页数:9
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