Given a simple connected graph G, this paper presents a new approach for localizing the graph topological indices given by the sum of the α-th power of the non zero normalized Laplacian eigenvalues. Through this method, old and new bounds are derived, showing how former results in the literature can be improved.
Bianchi, M., Cornaro, A., Palacios, J., Torriero, A. (2013). Bounding the Sum of Powers of Normalized Laplacian Eigenvalues of Graphs through Majorization Methods. MATCH, 70(2), 707-716.
Bounding the Sum of Powers of Normalized Laplacian Eigenvalues of Graphs through Majorization Methods
Bianchi, Monica;Cornaro, Alessandra;Torriero, Anna
2013
Abstract
Given a simple connected graph G, this paper presents a new approach for localizing the graph topological indices given by the sum of the α-th power of the non zero normalized Laplacian eigenvalues. Through this method, old and new bounds are derived, showing how former results in the literature can be improved.
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