Another look at the degree-Kirchhoff index

Another look at the degree-Kirchhoff index
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DOI:
10.1002/qua.22725
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发表时间:
2010-11
影响因子:
2.2
通讯作者:
J. Palacios;J. Renom
J. Palacios;J. Renom
中科院分区:
化学3区
文献类型:
--
作者:
J. Palacios;J. Renom

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设G是一个顶点集为{1,2,.,N}且度di ≤ D的任意图,对固定的D和所有i,则对指标R′(G)= ∑i < jdidjRij,我们证明了:我们还证明了对于星星图,R′(G)在所有N-顶点图上的最小值为2N 2 − 5 N + 3.© 2010 Wiley Periodicals,Inc.国际量子化学杂志,2011年
Let G be an arbitrary graph with vertex set {1,2, …,N} and degrees di ≤ D, for fixed D and all i, then for the index R′(G) = ∑i < jdidjRij we show that We also show that the minimum of R′(G) over all N-vertex graphs is attained for the star graph and its value is 2N2 − 5N + 3. © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2011