Gustav Robert Kirchhoff基尔霍夫指数是图论与网络科学中的一个重要拓扑指标，定义为无向连通图中所有无序顶点对之间的电阻距离之和，用于量化网络的整体连通性与结构特征。
定义与物理内涵。
基尔霍夫指数（Kirchhoff Index）源于电网络理论，其核心概念是将图中的每条边视为一个单位电阻，从而构建一个电阻网络。
Closed‐form
formulas for Kirchhoff index基尔霍夫指数,发表在2001年International
Journal of Quantum Chemistry;
Broder
and Karlin's formula for hitting times and the Kirchhoff Index, 2010年International Journal of
Quantum Chemistry;
Another
look at the degree‐Kirchhoff
index, 2010年International Journal of
Quantum Chemistry;
Bounds
for the Kirchhoff index of regular graphs via the spectra of their random
walks, 2009年International Journal of
Quantum Chemistry;
Kirchhoff
index of linear pentagonal chains, 2009年International Journal of
Quantum Chemistry;
Kirchhoff
index of linear hexagonal chains, 2007年International Journal of
Quantum Chemistry;
A
formula
for the Kirchhoff index, 2008年International Journal of
Quantum Chemistry;
Resistance
distance and Kirchhoff index in circulant graphs, 2006年International Journal of
Quantum Chemistry;
Resistance‐distance matrix: A
computational algorithm and its application, 2001年International Journal of
Quantum Chemistry;
刚又见Extremal
Wiener and Kirchhoff indices of globular caterpillars,2019年发表在International Journal
of Quantum Chemistry(引用我的合作者Mohammad Reza Oboudi的这篇论文:A
relation
between the signless Laplacian spectral radius of complete multipartite
graphs and majorization. Linear Algebra Appl. 565
(2019), 225--238. MR3892719 );
On
the normalized Laplacian of Möbius phenylene chain and its applications,2019年International Journal
of Quantum Chemistry;
On
normalized
Laplacians, multiplicative degree‐Kirchhoff
indices, and spanning trees of the linear [n]phenylenes and their
dicyclobutadieno derivatives, 2018年International Journal
of Quantum Chemistry;
Kirchhoff
index, multiplicative degree‐Kirchhoff
index and spanning trees of the linear crossed hexagonal chains, 2018年International Journal of
Quantum Chemistry;
等等…