Spectral determination of graphs with one positive anti-adjacency eigenvalue

作者：

Highlights：

• The spectral properties of a newer graph matrix, the anti-adjacency matrix (or eccentricity matrix), are investigated.

• New families of graphs determined by their anti-adjacency spectra are discovered.

• The Vita Theorem is found to be very useful in the proofs of main results.

摘要

•The spectral properties of a newer graph matrix, the anti-adjacency matrix (or eccentricity matrix), are investigated.•New families of graphs determined by their anti-adjacency spectra are discovered.•The Vita Theorem is found to be very useful in the proofs of main results.

论文关键词：05C50,Anti-adjacency matrix,Eccentricity matrix,Spectral determination,Vita theorem,Eigenvalue

论文评审过程：Received 29 October 2021, Revised 25 January 2022, Accepted 28 January 2022, Available online 10 February 2022, Version of Record 10 February 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.126995