The Extremal Cacti on Multiplicative Degree-Kirchhoff Index
College of Mathematics and Physics, Huanggang Normal University, Huanggang 438000, China
College of Mathematics and Statistics, South Central University for Nationalities, Wuhan 430074, China
Author to whom correspondence should be addressed.
Received: 22 November 2018 / Revised: 22 December 2018 / Accepted: 10 January 2019 / Published: 15 January 2019
For a graph G
, the resistance distance
is defined to be the effective resistance between vertices x
, the multiplicative degree-Kirchhoff index
is the degree of vertex x
denotes the vertex set of G
. L. Feng et al. obtained the element in
with first-minimum multiplicative degree-Kirchhoff index. In this paper, we first give some transformations on
, and then, by these transformations, the second-minimum multiplicative degree-Kirchhoff index and the corresponding extremal graph are determined, respectively.
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MDPI and ACS Style
He, F.; Zhu, Z. The Extremal Cacti on Multiplicative Degree-Kirchhoff Index. Mathematics 2019, 7, 83.
He F, Zhu Z. The Extremal Cacti on Multiplicative Degree-Kirchhoff Index. Mathematics. 2019; 7(1):83.
He, Fangguo; Zhu, Zhongxun. 2019. "The Extremal Cacti on Multiplicative Degree-Kirchhoff Index." Mathematics 7, no. 1: 83.
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