Eigenvalue Pairing in the Response Matrix for a Class of Network Models with Circular Symmetry

[摘要] We consider the response matrices in certain weighted networks that display a circular symmetry. It had been observed empirically that these exhibit several paired (multiplicity two) eigenvalues. Here, this pairing is explained analytically for a version

[学科分类] 离散数学和组合数学

[关键词] circular planar graph;Dirichlet-to-Neumann matrix;eigenvalue pairing;resistor network