COMPUTATION OF ADRIATIC INDICES OF CERTAIN OPERATORS OF REGULAR AND COMPLETE BIPARTITE GRAPHS
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초록
A topological index of a graph G is a numerical parameter related to G which characterizes its molecular topology and used for quantitative structure-activity relationship (QSAR) and quantitative structure-property relationship (QSPR). Adriatic indices are bond-additive topological indices. They are analyzed on the testing sets provided by the Inernational Academy of Mathematical Chemistry (IAMC) and it has been shown that they have good predictive properties in many cases. In this paper, we study the certain adriatic indices of regular and complete bipartite graphs using some graph operators.
Abstract
A topological index of a graph G is a numerical parameter related to G which characterizes its molecular topology and used for quantitative structure-activity relationship (QSAR) and quantitative structure-property relationship (QSPR). Adriatic indices are bond-additive topological indices. They are analyzed on the testing sets provided by the Inernational Academy of Mathematical Chemistry (IAMC) and it has been shown that they have good predictive properties in many cases. In this paper, we study the certain adriatic indices of regular and complete bipartite graphs using some graph operators.
참고문헌 (21)
- Behzad, M., "An Introduction to Total graphs, Coloring, Line graphs", Proc. Symp. Rome., pp.31~33 (1966)
- A. R. Bindusree, "ABC index on subdivision graphs and line graphs", IOSR J. Math., pp.1~6 (2016)
- Gutman, I., "The first Zagreb indices 30 years after", MATCH Commun. Math. Comput. Chem., 50, pp.83~92 (2004)
- Gutman, I., "Zagreb indices and coindices", MATCH Commun. Math. Comput. Chem., 74, pp.5~16 (2015)
- Gutman, I., "On Banhatti and Zagreb Indices", J. Int. Math. Virtual Inst., 7, pp.53~67 (2017)
- Gutman, I., "Mathematical concepts in organic chemistry" (1986), Springer-Verlag
- Gutman, I., "Graph Theory and molecular orbitals. Total <TEX>${\pi}$<", TEX>-electron energy of alternant hydrocarbons, 1972, pp.17, 535~538
- Karthikeyan, M., "Edge domination number of Jump graph", Int. J. Sci. and Eng. Res., 6(3), pp.100~102 (2015)
- Nikolic, S., "The Zagreb indices 30 years after", Croat. Chem. Acta, 76, pp.113~124 (2003)
- Lokesha, V., "Harmonic index, Redefined Zagreb Indices of Dragon Graph with Complete Graph", A. J. Math. and Comp. Res., 9(2), pp.162~166 (2016)
- Lokesha, V., "Symmetric division deg index of tricyclic and tetracyclic graphs", Int. J. Sci. and Eng. Res., 7(5), pp.53~55 (2016)
- Lokesha, V, "Investigation on Tri-hexagonal boron nanotube by exploiting the certain topological indices and their M-polynomials", T. J. Anal. and Num. Theo., 3(2), pp.197~201 (2017)
- Lokesha, V., "Operations of Nanostructures via SDD, <TEX>$ABC_4\;and\;GA_5$<", TEX> indices, 2017, pp.2(1), 173~180
- Lokesha, V., "On Certain Topological indices of Nanostructures using Q(G) and R(G) operators", Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 66(2), pp.178~187 (2018)
- Ranjini, P. S., "Smarandache-Zagreb index on three graph operators", Int. J. Comb., 3, pp.1~10 (2010)
- Sampathkumar, E., "Semi-Total graphs of a graph-1", Karnatak Univ. Journal XVIII (1973)
- Shirai, T., "The spectrum of infinite regular line graphs", Trans. Amer. Math. Soc., 352, pp.115~132 (1999)
- Todeschini, R., "Handbook of Molecular Descriptors" (2002), Wiley
- Vukicevic, D., "Bond Additive Modeling 1. Adriatic Indices", Croat. Chem. Acta, 83(3), pp.243~260 (2010)
- Vukicevic, D., "Bond Additive Modeling 2. Mathematical Properties of Max-min Rodeg Index", Croat. Chem. Acta, 83(3), pp.261~273 (2010)
- Vukicevic, D., "Bond Additive Modeling 4. QSPR and QSAR Studies of the Variable Adriatic Indices", Croat. Chem. Acta, 84(1), pp.87~91 (2011)