Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 22, Number 3 (2018), 513-528.
Distance Eigenvalues and Forwarding Indices of Circulants
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.
Taiwanese J. Math., Volume 22, Number 3 (2018), 513-528.
Received: 21 June 2016
Revised: 20 June 2017
Accepted: 28 August 2017
First available in Project Euclid: 4 October 2017
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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