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Derece Endeksinde ve Ko Endeksinde Ters Toplam

Year 2019, , 369 - 377, 30.06.2019
https://doi.org/10.17776/csj.490918

Abstract

G’ nin derece endeksinde ters toplam



















 ve

 dereceleri ile belirtilir. Bu
çalışmada, derece endeksinde toplam için bazı sınırlar bulunur. Ayrıca,
dereceler açısından bazı tanımlar ve bağıntılar elde edilir.

References

  • Estrada E., Characterization of 3D molecular structure, Chem. Phys. Lett., 319 (2000) 713-718.
  • Sedlar J., Stevanovic ́ D. and Vasilyev A., On the inverse sum in degree index, Discrete Applications Mathematics, 184 (2015) 202-212.
  • Kaya Gök G., Some bounds on the distance-sum-connectivity matrix, Journal of Inequalities and Applications, (2018) 171.
  • Das K. C. and Kumar P., Some new bounds on the spectral radius of graphs, Discrete Mathematics, 281 (2004) 149-161.
  • Gutman I., Furtula B., Vukic ́evic ́ Z.V. and Popivoda G., On Zagreb Indices and Co indices, MATCH Commun. Math. Comput. Chem., 74 (2015) 5-16.
  • Sorgun S. and Büyükköse Ş., The new upper bounds on the spectral radius of weighted graphs, Applied Mathematics and Computation, 218 (2012) 5231-5238.
  • Hossein-Zadeh S., Hamzeh A. and Ashrafi A. R., Extremal Properties of Zagreb Co indices and Degree Distance of Graphs, Miskolc Mathematical Notes, 11,2 (2010) 129-137.
  • Fajtlowicz S., On conjectures on Graffiti-II, Congr. Number, 60 (1987) 187-197.
  • Horn R.A. and Johnson C.R., Matrix Analysis: Cambridge University Press, New York, 1985.
  • Du Z. and Zhongzhu L., On the Estrada and Laplacian Estrada indices of graphs, Linear Algebra and its Applications, 435 (2011) 2065-2076.

On The Inverse Sum In Degree Index and Co Index

Year 2019, , 369 - 377, 30.06.2019
https://doi.org/10.17776/csj.490918

Abstract

The inverse sum in degree index of G is specified the
degrees




















 and

. Some bounds are found for inverse sum in degree index
in this study. Also, some definitions and relations are obtained in terms of
degrees.

References

  • Estrada E., Characterization of 3D molecular structure, Chem. Phys. Lett., 319 (2000) 713-718.
  • Sedlar J., Stevanovic ́ D. and Vasilyev A., On the inverse sum in degree index, Discrete Applications Mathematics, 184 (2015) 202-212.
  • Kaya Gök G., Some bounds on the distance-sum-connectivity matrix, Journal of Inequalities and Applications, (2018) 171.
  • Das K. C. and Kumar P., Some new bounds on the spectral radius of graphs, Discrete Mathematics, 281 (2004) 149-161.
  • Gutman I., Furtula B., Vukic ́evic ́ Z.V. and Popivoda G., On Zagreb Indices and Co indices, MATCH Commun. Math. Comput. Chem., 74 (2015) 5-16.
  • Sorgun S. and Büyükköse Ş., The new upper bounds on the spectral radius of weighted graphs, Applied Mathematics and Computation, 218 (2012) 5231-5238.
  • Hossein-Zadeh S., Hamzeh A. and Ashrafi A. R., Extremal Properties of Zagreb Co indices and Degree Distance of Graphs, Miskolc Mathematical Notes, 11,2 (2010) 129-137.
  • Fajtlowicz S., On conjectures on Graffiti-II, Congr. Number, 60 (1987) 187-197.
  • Horn R.A. and Johnson C.R., Matrix Analysis: Cambridge University Press, New York, 1985.
  • Du Z. and Zhongzhu L., On the Estrada and Laplacian Estrada indices of graphs, Linear Algebra and its Applications, 435 (2011) 2065-2076.
There are 10 citations in total.

Details

Primary Language English
Journal Section Natural Sciences
Authors

Gülistan Kaya Gök 0000-0001-9059-1606

Publication Date June 30, 2019
Submission Date November 30, 2018
Acceptance Date May 15, 2019
Published in Issue Year 2019

Cite

APA Kaya Gök, G. (2019). On The Inverse Sum In Degree Index and Co Index. Cumhuriyet Science Journal, 40(2), 369-377. https://doi.org/10.17776/csj.490918