| On Extremes of Minimum Real Roots of Adjoint Polynomials of Graphs with $R(G)\geq -1$ |
| Received:June 28, 2004 |
| Key Words:
adjoint polynomial character minimum roots order.
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| Fund Project:the National Natural Science Foundation of China(10461009) and the Key Project of Chinese Ministry of Education(205170). |
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| Abstract: |
| In this paper, the extremes of the minimum real roots of the adjoint polynomials of graphs are defined, and the graphs with $R(G)\geq -1$ are characterized by the extremes of the minimum real roots of its adjoint polynomials. Moreover, the root extreme graphs of the adjoint polynomials of graphs with $R(G)\geq -1$ are given. Then, some new results on the order of the minimum real roots of the adjoint polynomials of graphs are obtained. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2006.04.023 |
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