Computing Szeged Index of Graphs on Triples

Document Type : Research Paper

Authors

1 School of Mathematics, College of Science, University of Tehran

2 Department of Mathematics, Shahid Chamran University of Ahvaz

Abstract

ABSTRACT Let ‎G=(V,E) ‎be a‎ ‎simple ‎connected ‎graph ‎with ‎vertex ‎set ‎V‎‎‎ ‎and ‎edge ‎set ‎‎‎E. ‎The Szeged index ‎of ‎‎G is defined by ‎ where ‎ respectively ‎ ‎ is the number of vertices of ‎G ‎closer to ‎u‎ (‎‎respectively v)‎ ‎‎than ‎‎‎v (‎‎respectively u‎).‎ ‎‎If ‎‎‎‎S ‎is a‎ ‎set ‎of ‎size‎ ‎ ‎ ‎let ‎‎V ‎be ‎the ‎set ‎of ‎all ‎subsets ‎of ‎‎S ‎of ‎size ‎3. ‎Then ‎we ‎define ‎three ‎‎types ‎of ‎intersection ‎graphs ‎with ‎vertex ‎set V. These graphs are denoted by ‎‎ ‎‎ and we will find their ‎Szeged ‎indices.‎

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References

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Iranian Journal of Mathematical Chemistry
Volume 8, Issue 2
Special Issue of IJMC on Chemometrics
June 2017
Pages 175-180

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