A Note on Some Bounds of the - Estrada Index of Graphs

Yang Yang, Lizhu Sun and Changjiang Bu

Advances in Mathematical Physics, 2020, vol. 2020, 1-11

Abstract:

Let be a simple graph with vertices. Let , where and and denote the adjacency matrix and degree matrix of , respectively. is called the - Estrada index of , where denote the eigenvalues of . In this paper, the upper and lower bounds for are given. Moreover, some relations between the - Estrada index and - energy are established.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:3972789

DOI: 10.1155/2020/3972789

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