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On the first Zagreb index and multiplicative Zagreb coindices of graphs Cover

On the first Zagreb index and multiplicative Zagreb coindices of graphs

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică
Volume 24 (2016): Issue 1 (January 2016)
By: Kinkar Ch. Das,  Nihat Akgunes,  Muge Togan,  Aysun Yurttas,  I. Naci Cangul and  A. Sinan Cevik  
Open Access
|Sep 2017

References

  1. [1] N. Akgünş, A. S. Çevik, A new bound of radius with irregularity index, Applied Mathematics and Computation 219 (11) (2013) 5750{5753.10.1016/j.amc.2012.11.081
    Search in Google ScholarBack to article
  2. [2] J. A. Bondy, U. S. R. Murty, Graph Theory with Applications, Macmillan London and Elsevier, New York, 1976.10.1007/978-1-349-03521-2
    Search in Google ScholarBack to article
  3. [3] K. C. Das, Maximizing the sum of the squares of the degrees of a graph, Discrete Math. 285 (2004) 57{66.10.1016/j.disc.2004.04.007
    Search in Google ScholarBack to article
  4. [4] K. C. Das, On geometrical-arithmetic index of graphs, MATCH Commun. Math. Comput. Chem. 64 (3) (2010) 619{630.
    Search in Google ScholarBack to article
  5. [5] K. C. Das, On comparing Zagreb indices of graphs, MATCH Commun. Math. Comput. Chem. 63 (2) (2010) 433{440.
    Search in Google ScholarBack to article
  6. [6] K. C. Das, A. Yurttaş, M. Togan, I. N. Cangül, A. S. Çevik, The multiplicative Zagreb indices of graph operations, Journal of Inequalities and Applications, 2013, 2013: 90.10.1186/1029-242X-2013-90
    Open DOISearch in Google ScholarBack to article
  7. [7] K. C. Das, I. Gutman, B. Zhou, New upper bounds on Zagreb indices, J. Math. Chem. 46 (2009) 514{521.10.1007/s10910-008-9475-3
    Open DOISearch in Google ScholarBack to article
  8. [8] K. C. Das, N. Trinajstić, Relationship between the eccentric connectivity index and Zagreb indices, Comput. Math. Appl. 62 (2011) 1758{1764.10.1016/j.camwa.2011.06.017
    Search in Google ScholarBack to article
  9. [9] K. C. Das, I. Gutman, B. Horoldagva, Comparison between Zagreb indices and Zagreb coindices, MATCH Commun. Math. Comput. Chem. 68 (1) (2012) 189{198.
    Search in Google ScholarBack to article
  10. [10] K. C. Das, N. Trinajstić, Comparison between geometric-arithmetic indices, Croat. Chem. Acta 85 (3) (2012) 353{357.10.5562/cca2005
    Search in Google ScholarBack to article
  11. [11] M. Eliasi, A. Iranmanesh, I. Gutman, Multiplicative versions of first Zagreb index, MATCH Commun. Math. Comput. Chem. 68 (2012) 217{230.
    Search in Google ScholarBack to article
  12. [12] S. Furuichi, On refined Young inequalities and reverse inequalities, J. Math. Ineq. 5 (2011) 21-31.10.7153/jmi-05-03
    Search in Google ScholarBack to article
  13. [13] B. Horoldagva, K. C. Das, On comparing Zagreb indices of graphs, Hacettepe Journal of Mathematics and Statistics 41 (2) (2012) 223{230.
    Search in Google ScholarBack to article
  14. [14] I. Gutman, N. Trinajstić, Graph theory and molecular orbitals. Total π-electron energy of alternate hydrocarbons, Chem. Phys. Lett. 17 (1972) 535{538.10.1016/0009-2614(72)85099-1
    Open DOISearch in Google ScholarBack to article
  15. [15] I. Gutman, B. Ruščić, N. Trinajstić, C. F. Wilcox, Graph theorey and molecular orbitals. XII. Acyclic polyenes, J. Chem. Phys. 62 (1975) 3399.10.1063/1.430994
    Search in Google ScholarBack to article
  16. [16] H. Hua, K. C. Das, The relationship between eccentric connectivity index and Zagreb indices, Discrete Applied Math. 161 (2013) 2480{2491.10.1016/j.dam.2013.05.034
    Search in Google ScholarBack to article
  17. [17] H. Kober, On the arithmetic and geometric means and the Hölder inequality, Proc. Am. Math. Soc. 59 (1958) 452{459.10.1090/S0002-9939-1958-0093564-7
    Search in Google ScholarBack to article
  18. [18] R. Todeschini, D. Ballabio, V. Consonni, Novel molecular descriptors based on functions of new vertex degrees [in:] Novel molecular structure descriptors- Theory and applications I, I. Gutman, B. Furtula, (eds.), pp. 73{100. Univ. Kragujevac, Kragujevac, 2010.
    Search in Google ScholarBack to article
  19. [19] R. Todeschini, V. Consonni, New local vertex invariants and molecular descriptors based on functions of the vertex degrees, MATCH Commun. Math. Comput. Chem. 64 (2010) 359{372.
    Search in Google ScholarBack to article
  20. [20] R. Todeschini, V. Consonni, Handbook of Molecular Descriptors, Wiley- VCH, Weinheim, 2000.10.1002/9783527613106
    Search in Google ScholarBack to article
  21. [21] K. Xu, K. C. Das, K. Tang, On the multiplicative Zagreb coindex of graphs, Opuscula Math. 33 (1) (2013) 191{204.10.7494/OpMath.2013.33.1.191
    Search in Google ScholarBack to article
DOI: https://doi.org/10.1515/auom-2016-0008 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
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Language: English
Page range: 153 - 176
Submitted on: Mar 5, 2014
Accepted on: Feb 10, 2014
Published on: Sep 21, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year
Keywords:
First Zagreb index,
First and Second multiplicative Zagreb coindex,
Narumi-Katayama index
Related subjects:
Mathematics,
General mathematics

© 2017 Kinkar Ch. Das, Nihat Akgunes, Muge Togan, Aysun Yurttas, I. Naci Cangul, A. Sinan Cevik, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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