Araştırma Makalesi

The ``Forgotten Topological Index" of Double Corona of Graphs Related to the Different Subdivision Graphs

Cilt: 2 Sayı: 1 23 Temmuz 2019
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The ``Forgotten Topological Index" of Double Corona of Graphs Related to the Different Subdivision Graphs

Abstract



Graph theory plays an important role in the chemical sciences to model chemical compounds graphically. A chemical graph is a representation of molecular structure whose vertices are considered as atoms of the molecule and edges are the bonds between them. A topological index is a numeric quantity associated with chemical compounds to predict various physicochemical properties and biological activities theoretically. The sum of the cube of degrees of all the vertices for a graph is called the ``forgotten topological index'' or F-index of that graph. In this study, we compute the F-index of double corona graphs related to the different subdivision graphs.

Keywords

Kaynakça

  1. \bibitem[Gutman et al.(1972)]{gutm72}I. Gutman, N. Trinajesti\'{c}, \textit{Graph theory and molecular orbitals total $\pi$-electron energy of alternant hydrocarbons.} {Chem. Phys. Lett.}, 1972 (\textbf{17}): 535-538.
  2. \bibitem[Sarkar et al.(17)]{ndep17}P. Sarkar, N. De, and A. Pal, \textit{The Zagreb Indices of graphs based on new operations related to the join of graphs}. {J. Int. Math. Virtual Inst.}, (2017) (\textbf{7}): 181-209.
  3. \bibitem[De(16)]{nde16}N. De, \textit{The vertex Zagreb indices of some graphs operations}. {Carpathian Math. Publ.}, 2016 (\textbf{8}(2)): 215-223.
  4. \bibitem[Sarala et al.(17)]{sara17}D. Sarala, S.K. Ayyaswamy, and S. Balachandran, \textit{The Zagreb indices of graphs based on four new operations related to the lexicographic product}. {Appl. Math. Comput.}, 2017 (\textbf{309}): 156-169.
  5. \bibitem[De et al.(16)]{nay16}N. De, S.M.A. Nayeem, \textit{Computing the F-index of nanostar dendrimers}. {Pac. Sci. Rev. A: Nat. Sci. Engg.}, 2016 (\textbf{18}): 14-21.
  6. \bibitem[De(16)]{de16}N. De, \textit{F-index of four operations on graphs}. {Discrete Math. Algorithms Appl.}, 2016 (\textbf{8}(2)): 1-17 .
  7. \bibitem[Akhtar et al.(17)]{akh17}S. Akhtar, M. Imran, \textit{Computing the forgotten topological index of four operations on graphs}. {AKCE Int. J. Graphs Comb.}, 2017 (\textbf{14}(1)): 70-79.
  8. \bibitem[Gao et al.(16)]{wga16}W. Gao, M.K. Siddiqui, M. Imran, M.K. Jamil, and M.R. Farahani, \textit{Forgotten topological index of chemical structure in drugs}. {Saudi Phar. J.}, 2016 (\textbf{24}(3)): 258-264.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Prosanta Sarkar Bu kişi benim
India

Anita Pal Bu kişi benim
India

Yayımlanma Tarihi

23 Temmuz 2019

Gönderilme Tarihi

31 Ekim 2018

Kabul Tarihi

20 Mart 2019

Yayımlandığı Sayı

Yıl 1970 Cilt: 2 Sayı: 1

Kaynak Göster

APA
De, N., Sarkar, P., & Pal, A. (2019). The ``Forgotten Topological Index" of Double Corona of Graphs Related to the Different Subdivision Graphs. Mathematical Advances in Pure and Applied Sciences, 2(1), 8-15. https://izlik.org/JA84AN58HU
AMA
1.De N, Sarkar P, Pal A. The ``Forgotten Topological Index" of Double Corona of Graphs Related to the Different Subdivision Graphs. MAPAS. 2019;2(1):8-15. https://izlik.org/JA84AN58HU
Chicago
De, Nilanjan, Prosanta Sarkar, ve Anita Pal. 2019. “The ``Forgotten Topological Index" of Double Corona of Graphs Related to the Different Subdivision Graphs”. Mathematical Advances in Pure and Applied Sciences 2 (1): 8-15. https://izlik.org/JA84AN58HU.
EndNote
De N, Sarkar P, Pal A (01 Temmuz 2019) The ``Forgotten Topological Index" of Double Corona of Graphs Related to the Different Subdivision Graphs. Mathematical Advances in Pure and Applied Sciences 2 1 8–15.
IEEE
[1]N. De, P. Sarkar, ve A. Pal, “The ``Forgotten Topological Index" of Double Corona of Graphs Related to the Different Subdivision Graphs”, MAPAS, c. 2, sy 1, ss. 8–15, Tem. 2019, [çevrimiçi]. Erişim adresi: https://izlik.org/JA84AN58HU
ISNAD
De, Nilanjan - Sarkar, Prosanta - Pal, Anita. “The ``Forgotten Topological Index" of Double Corona of Graphs Related to the Different Subdivision Graphs”. Mathematical Advances in Pure and Applied Sciences 2/1 (01 Temmuz 2019): 8-15. https://izlik.org/JA84AN58HU.
JAMA
1.De N, Sarkar P, Pal A. The ``Forgotten Topological Index" of Double Corona of Graphs Related to the Different Subdivision Graphs. MAPAS. 2019;2:8–15.
MLA
De, Nilanjan, vd. “The ``Forgotten Topological Index" of Double Corona of Graphs Related to the Different Subdivision Graphs”. Mathematical Advances in Pure and Applied Sciences, c. 2, sy 1, Temmuz 2019, ss. 8-15, https://izlik.org/JA84AN58HU.
Vancouver
1.Nilanjan De, Prosanta Sarkar, Anita Pal. The ``Forgotten Topological Index" of Double Corona of Graphs Related to the Different Subdivision Graphs. MAPAS [Internet]. 01 Temmuz 2019;2(1):8-15. Erişim adresi: https://izlik.org/JA84AN58HU