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- W2272828148 abstract "We explicitly compute the effective resistances between any two vertices of a ladder graph by using circuit reductions. Using our findings, we obtain explicit formulas for Kirchhoff index and admissible invariants of a ladder graph considering it as a model of a metrized graph. Comparing our formula for Kirchhoff index and previous results in literature, we obtain an explicit sum formula involving trigonometric functions. We also expressed our formulas in terms of certain generalized Fibonacci numbers that are the values of the Chebyshev polynomials of the second kind at $2$." @default.
- W2272828148 created "2016-06-24" @default.
- W2272828148 creator A5079169948 @default.
- W2272828148 date "2015-03-21" @default.
- W2272828148 modified "2023-09-27" @default.
- W2272828148 title "Effective Resistances, Kirchhoff index and Admissible Invariants of Ladder Graphs" @default.
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- W2272828148 hasPublicationYear "2015" @default.
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