Maximum eigenvalue of the reciprocal distance matrix. (English) Zbl 1186.92055
Summary: We obtain the lower and upper bounds of the maximum eigenvalue of the reciprocal distance matrix of a connected (molecular) graph. We also give the Nordhaus-Gaddum-type result for the maximum eigenvalue.
MSC:
| 92E10 | Molecular structure (graph-theoretic methods, methods of differential topology, etc.) |
| 15A18 | Eigenvalues, singular values, and eigenvectors |
Keywords:
molecular graph; reciprocal distance matrix; maximum eigenvalue; diameter; lower bound; upper boundReferences:
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