Research Article
Year 2019,
, 369 - 377, 30.06.2019
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.
Keywords
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.
Year 2019,
, 369 - 377, 30.06.2019
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.
Keywords
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 | |
| Publication Date | June 30, 2019 |
| Submission Date | November 30, 2018 |
| Acceptance Date | May 15, 2019 |
| Published in Issue | Year 2019 |