华东交通大学学报Issue(1)：128-135,8.
线性四角链及四角莫比乌斯图的Kirchhoff指标
Kirchhoff Index of Linear Tetragonal Chains and Tetragonal Moöbius Graphs
摘要
Abstract
The Kirchhoff index of G is the sum of resistance distances between all pairs of vertices in G. This pa-per studies the Kirchhoff index of linear tetragonal chains and tetragonal Moöbius graphs. According to the Lapla-cian polynomial decomposition theorem, the relationship between Kirchhoff index and the Laplacian eigenvalues, matrix decomposition theorem, this paper obtains formula for Kirchhoff index of linear tetragonal chains and te-tragonal Mo咬bius graphs. Finally, it verifies the formula using two examples whose Kirchhoff indexes are obtained from Ohm's law.关键词
电阻距离/Kirchhoff指标/拉普拉斯矩阵/线性四角链/四角莫比乌斯图Key words
resistance distance/Kirchhoff index/Laplacian matrix/linear tetragonal chains/tetragonal M oöbius graphs分类
数理科学引用本文复制引用
王广富,鲁玖环..线性四角链及四角莫比乌斯图的Kirchhoff指标[J].华东交通大学学报,2016,(1):128-135,8.基金项目
国家自然科学基金（11261019,11361024）；江西省自然科学基金（2015BAB201002）；江西省教育厅科学研究项目（GJJ14380）；江西高校科技落地计划项目 （）
