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Symmetry 2017, 9(1), 17; doi:10.3390/sym9010017

Some Invariants of Jahangir Graphs

1
Division of Science and Technology, University of Education, Lahore 54000, Pakistan
2
Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 52828, Korea
3
Center for General Education, China Medical University, Taichung 40402, Taiwan
4
COMSATS Institute of Information Technology, Vehari Campus, Vehari, 61100 Pakistan
5
Department of Mathematics, Dong-A University, Busan 49315, Korea
*
Author to whom correspondence should be addressed.
Academic Editor: Angel Garrido
Received: 16 December 2016 / Revised: 16 January 2017 / Accepted: 17 January 2017 / Published: 23 January 2017
View Full-Text   |   Download PDF [7017 KB, uploaded 23 January 2017]   |  

Abstract

In this report, we compute closed forms of M-polynomial, first and second Zagreb polynomials and forgotten polynomial for Jahangir graphs Jn,m for all values of m and n. From the M-polynomial, we recover many degree-based topological indices such as first and second Zagreb indices, modified Zagreb index, Symmetric division index, etc. We also compute harmonic index, first and second multiple Zagreb indices and forgotten index of Jahangir graphs. Our results are extensions of many existing results. View Full-Text
Keywords: M-polynomial; Zagreb polynomial; topological index; Jahangir graph M-polynomial; Zagreb polynomial; topological index; Jahangir graph
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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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MDPI and ACS Style

Munir, M.; Nazeer, W.; Kang, S.M.; Qureshi, M.I.; Nizami, A.R.; Kwun, Y.C. Some Invariants of Jahangir Graphs. Symmetry 2017, 9, 17.

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