Recursive calculation of effective resistances in distance-regular networks based on Bose–Mesner algebra and Christoffel–Darboux identity

DOI10.1063/1.3077145zbMath1202.94230arXiv0705.2480OpenAlexW1992908821MaRDI QIDQ3650446

Mohamad Ali Jafarizadeh, Rahime Sufiani, Saber Jafarizadeh

Publication date: 14 December 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.2480

zbMATH Keywords

random processesalgebratransforms

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Analytic circuit theory (94C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Two-point resistances and random walks on stellated regular graphs, On the resistance diameter of the Cartesian and lexicographic product of paths, Resistance distances and the Kirchhoff index in double graphs, Resistance distances and Kirchhoff index of graphs with an involution, Two-point resistances in a family of self-similar \((x, y)\)-flower networks, Resistance distance of generalized wheel and dumbbell graph using symmetric {1}-inverse of Laplacian matrix, TWO-POINT RESISTANCES IN SAILBOAT FRACTAL NETWORKS, Two-point resistances in the generalized phenylenes, Entanglement entropy in the spinless free fermion model and its application to the graph isomorphism problem, A recursion formula for resistance distances and its applications, Evaluation of effective resistances in pseudo-distance-regular resistor networks, Resistances between two nodes of a path network

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Investigation of continuous-time quantum walk via spectral distribution associated with adjacency matrix
• Investigation of continuous-time quantum walk by using Krylov subspace-Lanczos algorithm
• Graph cyclicity, excess conductance, and resistance deficit
• Investigation of continuous-time quantum walk via modules of Bose–Mesner and Terwilliger algebras
• INVESTIGATION OF CONTINUOUS-TIME QUANTUM WALKS VIA SPECTRAL ANALYSIS AND LAPLACE TRANSFORM
• The Algebraic Approach to the Discrete Cosine and Sine Transforms and Their Fast Algorithms
• Graphs cospectral with distance-regular graphs
• Lattice Green's Function. Introduction
• Calculating two-point resistances in distance-regular resistor networks