| Issue |
ITM Web Conf.
Volume 49, 2022
International Conference on Applied Mathematics and Numerical Methods – fourth edition (ICAMNM 2022)
|
|
|---|---|---|
| Article Number | 01003 | |
| Number of page(s) | 10 | |
| Section | Applied Mathematics | |
| DOI | https://doi.org/10.1051/itmconf/20224901003 | |
| Published online | 16 November 2022 | |
Bounds for various graph energies
1
Department of Mathematics, Faculty of Science, Gazi University, Ankara, Turkey
2
Department of Mathematics, Faculty of Science, Gazi University, Ankara, Turkey
3
Department of Mathematics, Faculty of Science, Gazi University, Ankara, Turkey
4
Department of Mathematics, Faculty of Arts and Science, Bursa Uludag University, Bursa 16059, Turkey
* e-mail: emresevgi@gazi.edu.tr
** e-mail: gulozkan@gazi.edu.tr
*** e-mail: sbuyukkose@gazi.edu.tr
**** e-mail: cangul@uludag.edu.tr
In this paper, we obtain some upper and lower bounds for the spectral radius of some special matrices such as maximum degree, minimum degree, Randic, sum-connectivity, degree sum, degree square sum, first Zagreb and second Zagreb matrices of a simple connected graph G by the help of matrix theory. We also get some upper bounds for the corresponding energies of G.
Key words: Graph energies / vertex degree / spectral radius
© The Authors, published by EDP Sciences, 2022
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