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EDGE-ZAGREB INDICES OF GRAPHS

Year 2020, Volume: 10 Issue: 1, 1 - 10, 01.01.2020

Abstract

The algebraic study of graph matrices is an important area of Graph The-ory giving information about the chemical and physical properties of the corresponding molecular structure. In this paper, we deal with the edge-Zagreb matrices de ned by means of Zagreb indices which are the most frequently used graph indices.

References

  • Bapat, R. B., (2014), Graphs and Matrices, Springer.
  • Celik, F. and Cangul, I. N., (2017), Formulae and Recurrence Relations on Spectral Polynomials of
  • Some graphs, Advanced Studies in Contemporary Mathematics, 27 (3), pp. 325-332. Das, K. C., Akgunes, N., Togan, M., Yurttas, A., Cangul, I. N. and Cevik, A. S., (2016), On the first Zagreb index and multiplicative Zagreb coindices of graphs, Analele Stiintifice ale Universitatii
  • Ovidius Constanta, 24 (1), pp. 153-176. Das, K. C., Yurttas, A., Togan, M., Cangul, I. N. and Cevik, A. S., (2013), The multiplicative Zagreb indices of graph operations, Journal of Inequalities and Applications, 90.
  • Gutman, I. and Trinajstic, N., (1972), Graph theory and molecular orbitals III. Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett., 17, pp. 535-538.
  • Janeˇziˇc, D., Miliˇcevi´c, A., Nikoli´c, S. and Trinajsti´c, N., (2015), Graph Theoretical Matrices in Chem- istry, CRC Press, Taylor and Francis Group.
  • Lokesha, V., Shetty, S. B., Ranjini, P. S. and Cangul, I. N., (2015), Computing ABC, GA, Randic and Zagreb Indices, Enlightments of Pure and Applied Mathematics (EPAM), 1 (1), pp. 17-28.
  • Ranjini, P. S., Lokesha, V. and Cangul, I. N., (2011), On the Zagreb indices of the line graphs of the subdivision graphs, Appl. Math. Comput., 218, pp. 699-702.
  • Ranjini, P. S., Rajan, M. A. and Lokesha, V., (2010), On Zagreb Indices of the Sub-division Graphs
  • Int. J. of Math. Sci. & Eng. Appns (IJMSEA), 4, pp. 221-228. Togan, M., Yurttas, A. and Cangul, I. N., (2015), Some formulae and inequalities on several Zagreb indices of r-subdivision graphs, Enlightments of Pure and Applied Mathematics (EPAM), 1 (1), pp. 45.
  • Togan, M., Yurttas, A. and Cangul, I. N., (2016), All versions of Zagreb indices and coindices of subdivision graphs of certain graph types, Advanced Studies in Contemporary Mathematics, 26 (1), pp. 227-236.
Year 2020, Volume: 10 Issue: 1, 1 - 10, 01.01.2020

Abstract

References

  • Bapat, R. B., (2014), Graphs and Matrices, Springer.
  • Celik, F. and Cangul, I. N., (2017), Formulae and Recurrence Relations on Spectral Polynomials of
  • Some graphs, Advanced Studies in Contemporary Mathematics, 27 (3), pp. 325-332. Das, K. C., Akgunes, N., Togan, M., Yurttas, A., Cangul, I. N. and Cevik, A. S., (2016), On the first Zagreb index and multiplicative Zagreb coindices of graphs, Analele Stiintifice ale Universitatii
  • Ovidius Constanta, 24 (1), pp. 153-176. Das, K. C., Yurttas, A., Togan, M., Cangul, I. N. and Cevik, A. S., (2013), The multiplicative Zagreb indices of graph operations, Journal of Inequalities and Applications, 90.
  • Gutman, I. and Trinajstic, N., (1972), Graph theory and molecular orbitals III. Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett., 17, pp. 535-538.
  • Janeˇziˇc, D., Miliˇcevi´c, A., Nikoli´c, S. and Trinajsti´c, N., (2015), Graph Theoretical Matrices in Chem- istry, CRC Press, Taylor and Francis Group.
  • Lokesha, V., Shetty, S. B., Ranjini, P. S. and Cangul, I. N., (2015), Computing ABC, GA, Randic and Zagreb Indices, Enlightments of Pure and Applied Mathematics (EPAM), 1 (1), pp. 17-28.
  • Ranjini, P. S., Lokesha, V. and Cangul, I. N., (2011), On the Zagreb indices of the line graphs of the subdivision graphs, Appl. Math. Comput., 218, pp. 699-702.
  • Ranjini, P. S., Rajan, M. A. and Lokesha, V., (2010), On Zagreb Indices of the Sub-division Graphs
  • Int. J. of Math. Sci. & Eng. Appns (IJMSEA), 4, pp. 221-228. Togan, M., Yurttas, A. and Cangul, I. N., (2015), Some formulae and inequalities on several Zagreb indices of r-subdivision graphs, Enlightments of Pure and Applied Mathematics (EPAM), 1 (1), pp. 45.
  • Togan, M., Yurttas, A. and Cangul, I. N., (2016), All versions of Zagreb indices and coindices of subdivision graphs of certain graph types, Advanced Studies in Contemporary Mathematics, 26 (1), pp. 227-236.
There are 11 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

C. Yamaç This is me

M. S. Oz This is me

I. N. Cangul This is me

Publication Date January 1, 2020
Published in Issue Year 2020 Volume: 10 Issue: 1

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