THE FORGOTTEN INDEX OF CERTAIN EDGE-GLUING GRAPHS

Main Article Content

Ahmed M. Salih
Nabeel E. Arif

Abstract

The forgotten index is defined as ( ) ∑ ( )( ) . Where ( )
is a degree of vertex . In this paper, we study certain known graphs
such as cycle, complete, wheel, and web graphs, then computed the
forgotten index of their edge-gluing graphs


 

Article Details

How to Cite
Ahmed M. Salih, & Nabeel E. Arif. (2023). THE FORGOTTEN INDEX OF CERTAIN EDGE-GLUING GRAPHS. Tikrit Journal of Pure Science, 23(9), 94–98. https://doi.org/10.25130/tjps.v23i9.818
Section
Articles

References

[1] Mohammed M. A.; Atan, K. A; Khalaf, A. M.

Rushdan, M. and Hasni, R. (2016). THE ATOM

BOND CONNECTIVITY INDEX OF CERTAIN

GRAPHS. International Journal of Pure and Applied

Mathematics, 106(2): 415-427.

[2] Akhter, S. and Imran, M. (2017). Computing

the forgotten topological index of four operations on

graphs. AKCE International Journal of Graphs and

Combinatorics, 14(1): 70-79.

[3] Iranamanesh, A. and Gholami, N. A. (2009).

Computing the Szeged index of styrylbenzene

dendrimer and triarylamine dendrimer of generation

1-3. Match, 62(2): 371.

[4] Estrada, E.; Torres, L.; Rodriguez, L., and

Gutman, I. (1998). An atom-bond connectivity index:

modelling the enthalpy of formation of alkanes.

[5] Alikhani, S., and Iranmanesh, M. A. (2010).

Chromatic polynomials of some dendrimers. Journal

of Computational and Theoretical Nanoscience,

7(11): 2314-2316.

[6] Husin M. N.; Hasni, R.; Arif, N. E., and Imran,

M. (2016). On topological indices of certain families

of nanostar dendrimers. Molecules, 21(7): 821.

[7] Gutman, I. and Trinajstić, N. (1972). Graph

theory and molecular orbitals. Total φ-electron

energy of alternant hydrocarbons. Chemical Physics

Letters, 17(4): 535-538.

[8] Furtula, B. and Gutman, I. (2015). A forgotten

topological index. Journal of Mathematical

Chemistry, 53(4): 1184-1190.

[9] Khaksari, A. and Ghorbani, M. (2017). On the

forgotten topological index. Iranian Journal of

Mathematical Chemistry, 8(3): 327-338.

[10] Gao, W.; Siddiqui, M. K.; Imran, M.; Jamil, M.

K., and Farahani, M. R. (2016). Forgotten topological

index of chemical structure in drugs. Saudi

Pharmaceutical Journal, 24(3): 258-264.

[11] Lin, W.; Gao, T.; Chen, Q. A., and Lin, X.

(2013). On the minimal ABC index of connected

graphs with given degree sequence. MATCH

Commun. Math. Comput. Chem, 69(3): 571-578.

[12] Elumalai, S.; Mansour, T. and Rostami, M. A. (2017). On the bounds of the forgotten topological index. Turkish Journal of Mathematics, 41(6): 1687-1702.

[13] Ghobadi, S. and Ghorbaninejad, M. (2017). First Zagreb Index, F-index and F-coindex of the Line Subdivision Graphs, Turkish Journal of Analysis and Number Theory, 5(1): 23-26,. [14] Abdo, H.; Dimitrov, D., and Gutman, I. (2017). On extremal trees with respect to the F-index. Kuwait Journal of Science, 44(3).

[15] Rahman, M. S. (2017). Basic Graph Theory. 3rd edit.Springer.

[16] Diudea, M. V.; Gutman, I. and L. Jantschi, (2001). Molecular Topology. Nova Science Pub Inc, UK ed.

[17] Lowell, W. Beineke, and Robin, J. W. (1978). Selected Topics In Graph Theory, Academic Press INC., London.

[18] Koh K. M.; Rogers, D. G.; Teo, H. K. and Yap, K. Y. (1980). Graceful graphs: some further results and problems, Congressus Numerantium, 29: 559-571.

[19] Habeb, A.B. and Khalaf, A.M. (2017). A study of First geometric-Arithmetic Index with Chemical Applications. Saudi Journal of Engineering and Technology,2(7):241-250.