Some two-point resistances of the Sierpinski gasket network

DOI10.1007/s10955-018-2067-0zbMath1396.05031OpenAlexW2804895688MaRDI QIDQ1785685

Weigen Yan, Zhuozhuo Jiang

Publication date: 1 October 2018

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

Full work available at URL: https://doi.org/10.1007/s10955-018-2067-0

zbMATH Keywords

networkSierpinski gasketresistance

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Technical applications of optics and electromagnetic theory (78A55) Fractals (28A80) Distance in graphs (05C12)

Related Items (12)

The study of the b-choromatic number of some classes of fractal graphs ⋮ Average trapping time on a type of horizontally segmented three dimensional Sierpinski gasket network with two types of locally self-similar structures ⋮ Computation of resistance distance and Kirchhoff index of the two classes of silicate networks ⋮ Resistance between two nodes of a ring clique network ⋮ 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 ⋮ Some two-vertex resistances of the three-towers Hanoi graph formed by a fractal graph ⋮ Complete characterization of resistance distance for linear octagonal networks ⋮ Resistance distance in potting networks ⋮ Spanning 2-forests and resistance distance in 2-connected graphs ⋮ Some two-vertex resistances of nested triangle network

Cites Work

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• Resistance distance local rules
• Resistance distance and the normalized Laplacian spectrum
• Spanning trees on the Sierpinski gasket
• Dimer coverings on the Sierpinski gasket
• Four encounters with Sierpiński's gasket
• A recursion formula for resistance distances and its applications
• Some rules on resistance distance with applications
• Sensor Networks With Random Links: Topology Design for Distributed Consensus
• Hamiltonian walks on the Sierpinski gasket
• Wiener index of trees: Theory and applications

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