All versions of Zagreb indices and coindices of subdivision graphs of certain graph types

논문KCI 등재

1

조회

0

다운로드

6

인용

0

참고문헌

키워드

주제분류수학

In this paper, we nd formulae for ten mostly used types of Zagreb indices for the subdivision graphs of some well-known classes of graphs.

In this paper, we nd formulae for ten mostly used types of Zagreb indices for the subdivision graphs of some well-known classes of graphs.

I. Gutman, "Graph theory and molecular orbitals. III. Total -electron energy of alternant hydrocarbons", Chem. Phys. Lett, 17, pp.535~538 (1972)
K. Ch. Das, "On the rst Zagreb index and multiplicative Zagreb coindices of graphs", Analele Stiintice ale Universitatii Ovidius Constanta, 23(3) (2015)
M. Togan, "Some formulae and inequalities on sev-eral Zagreb indices of r-subdivision graphs", Aditi Journal of Computational Mathematics (2015)
J. Doslic, "Vertex-weighted Wiener polynomials for composite graphs", Ars Mathematica Contemporanea, 1, pp.66~80 (2008)
R. Todeschini, "New local vertex invariant and molecular descriptors based on functions of the vertex degrees", MATCH, pp.359~372 (2010)
K. Xu, "On the multiplicative Zagreb coindex of graphs", Opuccula Math, 33(1), pp.191~204 (2013)
M. Eliasi, "Multiplicative versions of rst Zagreb index", MATCH, 68, pp.217~230 (2012)
K. Xu, "Trees, Unicyclic and bicyclic graphs", MATCH, 68, pp.257~272 (2012)
P. S. Ranjini, "On the Zagreb indices of the line graphs of the subdivision graphs", Appl. Math. Comput, 218, pp.699~702 (2011)
A. R. Ashra, "The Zagreb coindices of graph oper-ations", Discrete Appl. Math, 158, pp.1571~1578 (2010)
K. Ch. Das, "The mul-tiplicative Zagreb indices of graph operations", Journal of Inequalities and Applications, 90 (2013)
I. Gutman, "Multiplicative Zagreb indices of trees", Bulletin of Society of Mathematicians Banja Luka, 18, pp.17~23 (2011)