4.2 Article

Maximum eigenvalue of the reciprocal distance matrix

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY
Volume 47, Issue 1, Pages 21-28

Publisher

SPRINGER
DOI: 10.1007/s10910-009-9529-1

Keywords

Molecular graph; Reciprocal distance matrix; Maximum eigenvalue; Diameter; Lower bound; Upper bound

Funding

  1. Sungkyunkwan University, Suwon, Republic of Korea

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In this paper, 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.

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