Taiwanese Journal of Mathematics

Distance Eigenvalues and Forwarding Indices of Circulants

Shuting Liu, Huiqiu Lin, and Jinlong Shu

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Abstract

In this paper, we give the distance spectral radii of several classes of circulant graphs. We also list the elements in the first rows of their corresponding distance matrices, with which all other distance eigenvalues can be obtained. In addition, we get the relationships between the distance spectral radii and forwarding indices of circulant graphs. Finally, the exact values of the vertex-forwarding indices and some bounds of the edge-forwarding indices for these kinds of graphs are presented.

Article information

Source
Taiwanese J. Math., Volume 22, Number 3 (2018), 513-528.

Dates
Received: 21 June 2016
Revised: 20 June 2017
Accepted: 28 August 2017
First available in Project Euclid: 4 October 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1507082428

Digital Object Identifier
doi:10.11650/tjm/170812

Mathematical Reviews number (MathSciNet)
MR3807323

Zentralblatt MATH identifier
06965383

Subjects
Primary: 05C50: Graphs and linear algebra (matrices, eigenvalues, etc.) 05C12: Distance in graphs

Keywords
circulant graph distance eigenvalue forwarding index

Citation

Liu, Shuting; Lin, Huiqiu; Shu, Jinlong. Distance Eigenvalues and Forwarding Indices of Circulants. Taiwanese J. Math. 22 (2018), no. 3, 513--528. doi:10.11650/tjm/170812. https://projecteuclid.org/euclid.twjm/1507082428


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