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Taiwanese Journal of Mathematics
Article . 2018 . Peer-reviewed
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Distance Eigenvalues and Forwarding Indices of Circulants

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 2018Publisher:The Mathematical Society of the Republic of ChinaJournal:Taiwanese Journal of Mathematics, volume 22 (issn: 1027-5487, Copyright policy )
Authors: Liu, Shuting; Lin, Huiqiu; Shu, Jinlong;

doi: 10.11650/tjm/170812

Distance Eigenvalues and Forwarding Indices of Circulants

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.

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Keywords

circulant graph, distance eigenvalue, 05C50, forwarding index, 05C12

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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gold