Some Invariants of Circulant Graphs

Some Invariants of Circulant Graphs

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, w...

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Bibliographic Details
Published in:Symmetry (Basel) Vol. 8; no. 11; p. 134
Main Authors: Munir, Mobeen, Nazeer, Waqas, Shahzadi, Zakia, Kang, Shin Min
Format: Journal Article
Language:English
Published: Basel MDPI AG 2016
Subjects:
circulant graphs
Exact solutions
Graphs
Heat of formation
Invariants
Mathematical analysis
Polynomials
Symmetry
topological indices
Topology
Online Access:Get full text
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Summary: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.
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ISSN:2073-8994
2073-8994
DOI:10.3390/sym8110134