期刊
LINEAR & MULTILINEAR ALGEBRA
卷 69, 期 10, 页码 1813-1824出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/03081087.2019.1641464
关键词
Graph spectra; extended adjacency matrix; extended spectral radius; extended energy; Nordhaus-Gaddum-type results
类别
资金
- National Science Foundation of China [11601254, 11551001, 11161037, 61763041, 11661068, 11461054]
- Science Found of Qinghai Province [2016-ZJ-948Q, 2014-ZJ-907]
- Qinghai Key Laboratory of Internet of Things Project [2017-ZJ-Y21]
- Ministry of Education, Science and Technological Development of the Republic of Serbia (Ministarstvo Prosvete, Nauke i Tehnoloskog Razvoja) [174033]
The extended adjacency matrix of a graph was introduced as a precursor for developing molecular topological descriptors, with the spectral radius and extended energy successfully utilized in QSPR/QSAR investigations. The study further analyzed the mathematical properties of these descriptors, obtaining sharp upper bounds for the extended energy and presenting Nordhaus-Gaddum-type results for the spectral radius and extended energy.
An extend adjacency matrix of a graph (A(ex)) was introduced decades ago as a precursor for developing a few quite useful molecular topological descriptors. The spectral radius (eta(1)) of the extended adjacency matrix and the extended energy of a graph (epsilon(ex)) have been successfully utilized in QSPR/QSAR investigations. Here, the eta(1) and epsilon(ex) have been further mathematically analyzed. Several sharp upper bounds for the epsilon(ex) are obtained. In addition, the Nordhaus-Gaddum-type results for the eta(1) and epsilon(ex) are presented.
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