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Graf İşlemlerinin Eliptik Sombor Tamamlayıcı İndeksi İçin Sınırlar

Year 2024, Volume: 5 Issue: 1, 1 - 10, 29.05.2024

Abstract

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.

References

  • 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.
Year 2024, Volume: 5 Issue: 1, 1 - 10, 29.05.2024

Abstract

References

  • 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.
There are 16 citations in total.

Details

Primary Language Turkish
Subjects Algebra and Number Theory
Journal Section Araştırma Makaleleri
Authors

Gül Özkan Kızılırmak 0000-0003-3263-8685

Publication Date May 29, 2024
Submission Date March 18, 2024
Acceptance Date April 5, 2024
Published in Issue Year 2024 Volume: 5 Issue: 1

Cite

APA Özkan Kızılırmak, G. (2024). Graf İşlemlerinin Eliptik Sombor Tamamlayıcı İndeksi İçin Sınırlar. Gazi Üniversitesi Fen Fakültesi Dergisi, 5(1), 1-10.
AMA Özkan Kızılırmak G. Graf İşlemlerinin Eliptik Sombor Tamamlayıcı İndeksi İçin Sınırlar. GÜFFD. May 2024;5(1):1-10.
Chicago Özkan Kızılırmak, Gül. “Graf İşlemlerinin Eliptik Sombor Tamamlayıcı İndeksi İçin Sınırlar”. Gazi Üniversitesi Fen Fakültesi Dergisi 5, no. 1 (May 2024): 1-10.
EndNote Özkan Kızılırmak G (May 1, 2024) Graf İşlemlerinin Eliptik Sombor Tamamlayıcı İndeksi İçin Sınırlar. Gazi Üniversitesi Fen Fakültesi Dergisi 5 1 1–10.
IEEE G. Özkan Kızılırmak, “Graf İşlemlerinin Eliptik Sombor Tamamlayıcı İndeksi İçin Sınırlar”, GÜFFD, vol. 5, no. 1, pp. 1–10, 2024.
ISNAD Özkan Kızılırmak, Gül. “Graf İşlemlerinin Eliptik Sombor Tamamlayıcı İndeksi İçin Sınırlar”. Gazi Üniversitesi Fen Fakültesi Dergisi 5/1 (May 2024), 1-10.
JAMA Özkan Kızılırmak G. Graf İşlemlerinin Eliptik Sombor Tamamlayıcı İndeksi İçin Sınırlar. GÜFFD. 2024;5:1–10.
MLA Özkan Kızılırmak, Gül. “Graf İşlemlerinin Eliptik Sombor Tamamlayıcı İndeksi İçin Sınırlar”. Gazi Üniversitesi Fen Fakültesi Dergisi, vol. 5, no. 1, 2024, pp. 1-10.
Vancouver Özkan Kızılırmak G. Graf İşlemlerinin Eliptik Sombor Tamamlayıcı İndeksi İçin Sınırlar. GÜFFD. 2024;5(1):1-10.