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math.CO2018
A complete characterization of graphs with exactly two positive eigenvalues
Fang Duan, Qiongxiang Huang, Xueyi Huang +2
In 1977 Smith characterized graphs with exactly one positive eigenvalue. Since then, many particular results related to graphs with exactly two positive eigenvalues have emerged. I…
math.CO2018
On graphs with exactly two positive eigenvalues
Fang Duan, Qiongxiang Huang, Xueyi Huang
The inertia of a graph is defined to be the triplet , where , and are the numbers of positive, negative and zero eigenvalues…