Research Article
Year 2025,
Volume: 17 Issue: 1, 59 - 66, 30.06.2025
Abstract
This work proposes a matrix called minimum covering Seidel
Laplacian matrix and a new type of graph energy called minimum covering Seidel
Laplacian energy $ES_{Lc}\left( \mathcal{G}\right)$ which depends on its appropriate minimum covering set. Upper and lower bounds on $ES_{Lc}\left( \mathcal{G}\right) $ are presented.
Supporting Institution
Scientific Research Projects Committee of Harran University (HUBAP)
Project Number
24045
References
- Adiga, C., Bayad, A., Gutman, I., Srinivas, S. A., The minimum covering energy of a graph, Kragujevac Journal of Science, 34(2012), 39–56.
- Bravo, D., Cubrıa, F., Rada, J., Energy of matrices, Applied Mathematics and Computation, 312(2017), 149–157.
- Fan, K., Maximum properties and inequalities for the eigenvalues of completely continuous operators, Natl. Acad. Sci., 37(1951), 760–766.
- Furuichi, S., On refined young inequalities and reverse inequalities, J.Math. Inequal., 5(2011), 21–31.
- Gutman, I., The energy of a graph, Ber. Math-Statist. Sekt. Forschungsz, 103(1978), 1–22.
- Gutman, I., Kulli, V.R., Nirmala energy, Open Journal of Discrete Applied Mathematics, 4(2021), 11–16.
- Havare, Ö.Ç., The inverse sum indeg index (ISI) and ISI energy of hyaluronic acid-paclitaxel molecules used in anticancer drugs, Open Journal of Discrete Applied Mathematics, 4(2021), 72–81.
- Kanna, R., Jagadeesh, R., Farahani, M.R., Minimum covering Seidel energy of a graph, Journal of the Indonesian Mathematical Society, 22(2016), 71–82.
- Kanna, M.R., Dharmendra, B.N., Sridhara, G., Laplacian minimum covering energy of a graph, Advances and Applications in Discrete Mathematics, 13(2014), 85–108.
- Li, X., Shi, Y., Gutman, I., Graph Energy, Springer, New York, 2012.
- Mitrinovic, D.S., Vasic, P.M., Analytic Inequalities, Springer, Berlin, 1970.
- Nikiforov, V., The energy of graphs and matrices, J. Math. Anal. Appl., 326(2007), 1472–1475.
- Ozeki, N., On the estimation of inequalities by maximum and minimum values (in Japanese), Journal of College Arts and Science, Chiba University, 5(1968), 199–203.
- Sevgi, E., Özkan Kızılırmak, G., Büyükköse, Ş., Cangül, I.N., Bounds for various graph energies, In ITM Web of Conferences, 49(2022).
Year 2025,
Volume: 17 Issue: 1, 59 - 66, 30.06.2025
Abstract
Project Number
24045
References
- Adiga, C., Bayad, A., Gutman, I., Srinivas, S. A., The minimum covering energy of a graph, Kragujevac Journal of Science, 34(2012), 39–56.
- Bravo, D., Cubrıa, F., Rada, J., Energy of matrices, Applied Mathematics and Computation, 312(2017), 149–157.
- Fan, K., Maximum properties and inequalities for the eigenvalues of completely continuous operators, Natl. Acad. Sci., 37(1951), 760–766.
- Furuichi, S., On refined young inequalities and reverse inequalities, J.Math. Inequal., 5(2011), 21–31.
- Gutman, I., The energy of a graph, Ber. Math-Statist. Sekt. Forschungsz, 103(1978), 1–22.
- Gutman, I., Kulli, V.R., Nirmala energy, Open Journal of Discrete Applied Mathematics, 4(2021), 11–16.
- Havare, Ö.Ç., The inverse sum indeg index (ISI) and ISI energy of hyaluronic acid-paclitaxel molecules used in anticancer drugs, Open Journal of Discrete Applied Mathematics, 4(2021), 72–81.
- Kanna, R., Jagadeesh, R., Farahani, M.R., Minimum covering Seidel energy of a graph, Journal of the Indonesian Mathematical Society, 22(2016), 71–82.
- Kanna, M.R., Dharmendra, B.N., Sridhara, G., Laplacian minimum covering energy of a graph, Advances and Applications in Discrete Mathematics, 13(2014), 85–108.
- Li, X., Shi, Y., Gutman, I., Graph Energy, Springer, New York, 2012.
- Mitrinovic, D.S., Vasic, P.M., Analytic Inequalities, Springer, Berlin, 1970.
- Nikiforov, V., The energy of graphs and matrices, J. Math. Anal. Appl., 326(2007), 1472–1475.
- Ozeki, N., On the estimation of inequalities by maximum and minimum values (in Japanese), Journal of College Arts and Science, Chiba University, 5(1968), 199–203.
- Sevgi, E., Özkan Kızılırmak, G., Büyükköse, Ş., Cangül, I.N., Bounds for various graph energies, In ITM Web of Conferences, 49(2022).
There are 14 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Algebra and Number Theory, Combinatorics and Discrete Mathematics (Excl. Physical Combinatorics) |
| Journal Section | Articles |
| Authors | |
| Project Number | 24045 |
| Publication Date | June 30, 2025 |
| Submission Date | August 5, 2024 |
| Acceptance Date | March 26, 2025 |
| Published in Issue | Year 2025 Volume: 17 Issue: 1 |