Graf İşlemlerinin Eliptik Sombor Tamamlayıcı İndeksi İçin Sınırlar

Yıl 2024, Cilt: 5 Sayı: 1, 1 - 10, 29.05.2024

Gül Özkan Kızılırmak

Öz

Bu çalışmada öncelikle Eliptik Sombor Tamamlayıcı İndeksi
𝐸𝑆𝑂 ̅̅̅̅̅̅(𝐺) = ∑ (𝑑𝐺(𝑢) + 𝑑𝐺(𝑣))√𝑑𝐺(𝑢)2 + 𝑑𝐺(𝑣)2
şeklinde tanımlanmıştır. Daha sonra Eliptik Sombor Tamamlayıcı İndeksinin bazı tamamlayıcı indekslerle arasındaki ilişkiler elde edilmiş ve son olarak bazı graf işlemleri için Eliptik Sombor Tamamlayıcı İndeksinin sınırları bulunmuştur.

Anahtar Kelimeler

Graf , Eliptik Sombor İndeks , Topolojik İndeks

Kaynakça

• Buyukkose, S., Kaya Gok, G., Ozkan Kizilirmak, G. and Eren, S. (2021). Graf Teori. Nobel Akademik Yayıncılık, 1-10.
• Gutman I., Trinajstić, N. (1972). Graph theory and molecular orbitals total π-electron energy of alternant hydrocarbons. Chemical Physics Letters,17, 535–538.
• Furtula, B., Gutman, I. (2015). A forgotten topological index. Journal of Mathematical Chemistry, 53(4), 1184–1190.
• Gutman, I., Furtula, B. and Oz, M.S. (2024). Geometric approach to vertex degree based topological indices Elliptic Sombor index theory and application. International Journal of Quantum Chemistry, 124(2), e27346I.
• Doslic T. (2008). Vertex-weighted Wiener polynomials for composite graphs. Ars Mathematica Contemporanea, 1, 66–80.
• De, N., Abu Nayeem, Sk. Md. and Pal, A. (2016). The F coindex of some graph operations. SpringerPlus, 5, 221.
• Ashrafi, A.R., Doslic, T., Hamzeh, A. (2010). The Zagreb coindices of graph operations. Discrete Applied Mathematics, 158, 1571–1578.
• Azari, M., Iranmanesh, A. (2013). Computing the eccentric-distance sum for graph operations. Discrete Applied Mathematics, 161(18), 2827–2840.
• Eskender, B., Vumar, E. (2013). Eccentric connectivity index and eccentric distance sum of some graph operations. Transactions on Combinatorics, 2(1), 103–111.
• Khalifeh, M.H., Yousefi-Azari, H., Ashrafi, A.R. (2008). The hyper-Wiener index of graph operations. Computers & Mathematics with Applications, 56, 1402–1407.
• Khalifeh, M.H., Yousefi-Azari, H., Ashrafi, A.R. (2009). The first and second Zagreb indices of some graph operations. Discrete Applied Mathematics,157(4), 804–811.
• Eryaşar, E., Buyukkose, Ş. (2023). Lower Bounds for Zagreb Indices of RNA Graphs Using Graph Algorithms. Journal of Mathematics and Statistical Science , 9(1), 1-9.
• Huang, Y., . Liu, H. (2021). Bounds of modifed Sombor index, spectral radius and energy. AIMS Mathematics, 6, 11263–11274.
• Kulli, V.R. (2023). Irregularity domination Nirmala and domination Sombor indices of certain drugs, International Journal of Mathematical Archive, 14(8), 1-7.
• Kulli, V.R. (2023). Delta Banhatti-Sombor indices of certain networks, International Journal of Mathematics and Computer Research, 11(11), 3875-3881.
• Kulli, V.R. (2023). Modified domination Sombor index and its exponential of a graph, International Journal of Mathematics and Computer Research, 11(8), 3639-3644.