The normalized Laplacian Estrada index of a graph

Jianxi Li; Ji-Ming Guo; Wai Chee Shiu

doi:10.2298/fil1402365l

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The normalized Laplacian Estrada index of a graph

Jianxi Li Ji-Ming Guo Wai Chee Shiu

Year: 2014 Journal: Filomat Vol: 28 (2)Pages: 365-371 Publisher: University of Niš

DOI: 10.2298/fil1402365l

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Abstract

In this paper, we define and investigate the normalized Laplacian Estrada index of a graph. Some bounds for the normalized Laplacian Estrada index of a graph in term of its vertex number, maximum (or minimum) degree are obtained, some inequalities between the normalized Laplacian Estrada and the normalized Laplacian energy are also obtained.

Keywords:

Mathematics Laplace operator Vertex (graph theory) Graph Laplacian matrix Combinatorics Resistance distance Spectral graph theory Index (typography) Mathematical analysis Line graph Voltage graph Graph power

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Graph theory and applications

Physical Sciences → Mathematics → Geometry and Topology

Synthesis and Properties of Aromatic Compounds

Physical Sciences → Chemistry → Organic Chemistry

Free Radicals and Antioxidants

Physical Sciences → Chemistry → Organic Chemistry

The normalized Laplacian Estrada index of a graph

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