KaydedilenlerDerginizi ekleyin

Dergiler / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 17 Issue: 1

Minimum Covering Seidel Laplacian Energy of a Graph

N. Feyza Yalçın(Harran University)0000-0001-5705-8658
Nigar Kırmızı(HARRAN ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ)0009-0006-3305-2722
Sayfa
—
Yayın Tarihi
2025-06-30
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Upper and lower bounds on $ES_{Lc}\left( \mathcal{G}\right) $ are presented.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı:Upper and lower bounds on $ES_{Lc}\left( \mathcal{G}\right) $ are presented.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Minimum covering Seidel Laplacian energy · eigenvalue · graph

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.

🔖

Bu Makaleye Atıf Yap

Yalçın, N. F., Kırmızı, N. (2025). Minimum Covering Seidel Laplacian Energy of a Graph. Turkish Journal of Mathematics and Computer Science, Volume: 17 Issue: 1. https://doi.org/10.47000/tjmcs.1528087

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (14)

  1. Adiga, C., Bayad, A., Gutman, I., Srinivas, S. A., The minimum covering energy of a graph, Kragujevac Journal of Science, 34(2012), 39–56.
  2. Bravo, D., Cubrıa, F., Rada, J., Energy of matrices, Applied Mathematics and Computation, 312(2017), 149–157.
  3. Fan, K., Maximum properties and inequalities for the eigenvalues of completely continuous operators, Natl. Acad. Sci., 37(1951), 760–766.
  4. Furuichi, S., On refined young inequalities and reverse inequalities, J.Math. Inequal., 5(2011), 21–31.
  5. Gutman, I., The energy of a graph, Ber. Math-Statist. Sekt. Forschungsz, 103(1978), 1–22.
  6. Gutman, I., Kulli, V.R., Nirmala energy, Open Journal of Discrete Applied Mathematics, 4(2021), 11–16.
  7. 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.
  8. Kanna, R., Jagadeesh, R., Farahani, M.R., Minimum covering Seidel energy of a graph, Journal of the Indonesian Mathematical Society, 22(2016), 71–82.
  9. 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.
  10. Li, X., Shi, Y., Gutman, I., Graph Energy, Springer, New York, 2012.
  11. Mitrinovic, D.S., Vasic, P.M., Analytic Inequalities, Springer, Berlin, 1970.
  12. Nikiforov, V., The energy of graphs and matrices, J. Math. Anal. Appl., 326(2007), 1472–1475.
  13. 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.
  14. Sevgi, E., Özkan Kızılırmak, G., Büyükköse, Ş., Cangül, I.N., Bounds for various graph energies, In ITM Web of Conferences, 49(2022).