References
- A.R. Ashrafi, T. DoŠliĆ, A. Hamze, Extremal graphs with respect to the Zagreb coindices, MATCH Commun. Math. Comput. Chem. 65(2011)85–92.
- A.R. Ashrafi, T. DoŠliĆ, A. Hamze, The Zagreb coindices of graph operations, Discrete Appl. Math. 158(2010)1571–1578. doi: 10.1016/j.dam.2010.05.017
- K.C. Das, I. Gutman, Some properties of the second Zagreb index, MATCH Commun. Math. Comput. Chem. 2(2004)103–112.
- G. A. Dirac, ome theorems on abstract graphs, Proc. London Math. Soc. 2(1952) 69–81. doi: 10.1112/plms/s3-2.1.69
- A.S. Dobrynin, R. Entringer, I. Gutman Winer index of trees: theory and applications, Acta Appl. Math. 66(2011) 211–249. doi: 10.1023/A:1010767517079
- T. DoŠliĆ Vertex-Weighted Wiener Polynomials for Composite Graphs, Ars Math. Contemp. 1(2008)66–80.
- R.J. Gould Advances on the Hamiltonian Problem – A Survey, Graphs and Combinatorics, 19(1) (2003) 7–52. doi: 10.1007/s00373-002-0492-x
- A. Graovac, T. Pisansk, On the Wiener index of a graph, J. Math. Chem. 8(1991)53–62. doi: 10.1007/BF01166923
- I. Gutman, K. C. Das, The first Zagreb index 30 years after, MATCH Commun. Math. Comput. Chem. 50(2004)83–92.
- I. Gutman, Y.N. lee, Y.N. Yeh, Y.L. Lau, Some recent results in theory of Wiener number, Ind. J. Chem. 32 (1998) 551–661.
- F. Harary, Graph theory, Addison-Wesely, Reading Mass (1969).
- S.M. Hosamani and I. Gutman, Zagreb indices of transformation graphs and total transformation graphs, Applied Mathematics and Computation 247 (2014) 1156–1160. doi: 10.1016/j.amc.2014.09.080
- S. M. Hosamani, B. Basavanagoud, New upper bounds for the first Zagreb index, MATCH Commun. Math. Comput. Chem. 74(1) (2015) 97–101.
- S. M. Hosamani, S. H. Malghan and I. N. Cangul, The first geometric-arithmetic index of graph operations, Advances and Applications in Mathematical Sciences, 14(6) (2015) 155–163.
- S. M. Hosamani, Computing Sanskruti index of certain nanostructures, J. Appl. Math. Comput. 1–9 (2016) DOI 10.1007/s12190-016-1016-9.
- S. M. Hosamani, and M. Krzywkowski, On the difference of Zagreb coindices of graph operations, Gulf Journal of Mathematics, 4(3) (2016) 36–41.
- M.H. Khalifeh, H. Yousefi-Azari, A.R. Ashrafi, I. Gutman, The edge Szeged index of product graphs, Croat. Chem. Acta 81(2008)277–281.
- M.H. Khalifeh, H. Yousefi-Azari, A.R. Ashrafi, Vertex and Edge PI Indices of Cartesian Product Graphs, Discrete Appl. Math. 156(2008)1780–1789. doi: 10.1016/j.dam.2007.08.041
- M.H. Khalifeh, H. Yousefi-Azari, A.R. Ashrafi, The first and second Zagreb indices of graph operations, Discrete Appl. Math. 57(2009)804–811. doi: 10.1016/j.dam.2008.06.015
- L. Ng, M. Schultz, k-Ordered hamiltonian graphs, J. Graph Theory, 1(1997), 45–57. doi: 10.1002/(SICI)1097-0118(199701)24:1<45::AID-JGT6>3.0.CO;2-J