In 1971 McClelland obtained lower and upper bounds for the total π-electron energy. We now formulate the generalized version of these bounds, applicable to the energy-like expression EX = ∑ i=1n |xi - x̄|, where x1, X2,..., xn are any real numbers, and x̄ is their arithmetic mean. In particular, if x1, X2,...,x n are the eigenvalues of the adjacency, Laplacian, or distance matrix of some graph G, then EX is the graph energy, Laplacian energy, or distance energy, respectively, of G. © 2008 Verlag der Zeitschrift für Naturforschung, Tübingen.

Gutman, I., Indulal, G., & Todeschini, R. (2008). Generalizing the McClelland Bounds for Total p-Electron Energy. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 63A, 280-282.

Generalizing the McClelland Bounds for Total p-Electron Energy

TODESCHINI, ROBERTO
2008

Abstract

In 1971 McClelland obtained lower and upper bounds for the total π-electron energy. We now formulate the generalized version of these bounds, applicable to the energy-like expression EX = ∑ i=1n |xi - x̄|, where x1, X2,..., xn are any real numbers, and x̄ is their arithmetic mean. In particular, if x1, X2,...,x n are the eigenvalues of the adjacency, Laplacian, or distance matrix of some graph G, then EX is the graph energy, Laplacian energy, or distance energy, respectively, of G. © 2008 Verlag der Zeitschrift für Naturforschung, Tübingen.
Articolo in rivista - Articolo scientifico
spectral descriptors, molecular descriptors
English
280
282
Gutman, I., Indulal, G., & Todeschini, R. (2008). Generalizing the McClelland Bounds for Total p-Electron Energy. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 63A, 280-282.
Gutman, I; Indulal, G; Todeschini, R
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/4538
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