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Effective resistances for ladder‐like chains
Author(s) -
Carmona Angeles,
Encinas Andres M.,
Mitjana Margarida
Publication year - 2014
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.24740
Subject(s) - chain (unit) , path (computing) , class (philosophy) , topological index , mathematics , function (biology) , perturbation (astronomy) , index (typography) , combinatorics , physics , pure mathematics , topology (electrical circuits) , quantum mechanics , computer science , world wide web , biology , programming language , artificial intelligence , evolutionary biology
Here, we consider a class of generalized linear chains; that is, the ladder‐like chains as a perturbation of a 2 n path by adding consecutive weighted edges between opposite vertices. This class of chains in particular includes a big family of networks that goes from the cycle, unicycle chains up to ladder networks. In this article, we obtain the Green function, the effective resistance, and the Kirchhoff index of ladder‐like chains in terms of the Green function, the effective resistance, and the Kirchhoff index of the path. © 2014 Wiley Periodicals, Inc.