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Effective resistances for ladder-like chains

Autor
Carmona, A.; Encinas, A.; Mitjana, M.
Tipus d'activitat
Article en revista
Revista
International journal of quantum chemistry
Data de publicació
2014-12-15
Volum
114
Número
24
Pàgina inicial
1670
Pàgina final
1677
DOI
https://doi.org/10.1002/qua.24740 Obrir en finestra nova
Projecte finançador
Control de invariantes en grafos sujetos a propiedades estructurales
Optimización y problemas extremales en teoria de grafos y combinatoria. Aplicacions a les redes de comunicación
Resum
Here, we consider a class of generalized linear chains; that is, the ladder-like chains as a perturbation of a 2n 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 th...
Paraules clau
DISTANCE, GRAPHS, KIRCHHOFF INDEX, Kirchhoff index, effective resistance, linear chain, unicycle
Grup de recerca
MAPTHE - Anàlisi matricial i Teoria Discreta del Potencial