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Some Invariants of Circulant Graphs

Division of Science and Technology, University of Education, Lahore 54000, Pakistan
Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 52828, Korea
Center for General Education, China Medical University, Taichung 40402, Taiwan
Author to whom correspondence should be addressed.
Academic Editor: Angel Garrido
Symmetry 2016, 8(11), 134;
Received: 9 October 2016 / Revised: 10 November 2016 / Accepted: 11 November 2016 / Published: 18 November 2016
(This article belongs to the Special Issue Symmetry in Complex Networks II)
PDF [721 KB, uploaded 18 November 2016]


Topological indices and polynomials are predicting properties like boiling points, fracture toughness, heat of formation, etc., of different materials, and thus save us from extra experimental burden. In this article we compute many topological indices for the family of circulant graphs. At first, we give a general closed form of M-polynomial of this family and recover many degree-based topological indices out of it. We also compute Zagreb indices and Zagreb polynomials of this family. Our results extend many existing results. View Full-Text
Keywords: circulant graphs; topological indices; polynomials circulant graphs; topological indices; polynomials

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Munir, M.; Nazeer, W.; Shahzadi, Z.; Kang, S.M. Some Invariants of Circulant Graphs. Symmetry 2016, 8, 134.

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