Subscribe

Subscribe to our Newsletter and get informed about new publication regulary and special discounts for subscribers!

BMSA > BMSA Volume 19 > Computing F-Index of Different Corona Products of...
< Back to Volume

Computing F-Index of Different Corona Products of Graphs

Full Text PDF

Abstract:

F-index of a graph is equal to the sum of cubes of degree of all the vertices of a given graph. Among different products of graphs, as corona product of two graphs is one of most important, in this study, the explicit expressions for F-index of different types of corona product of are obtained.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 19)
Pages:
24-30
Citation:
N. De, "Computing F-Index of Different Corona Products of Graphs", Bulletin of Mathematical Sciences and Applications, Vol. 19, pp. 24-30, 2017
Online since:
August 2017
Authors:
Export:
Distribution:
References:

[1] H. Abdoa, D. Dimitrov, I. Gutman, On extremal trees with respect to the F-index, Unpublished manuscript, Available at arXiv: 1509. 03574.

[2] Y. Alizadeh et al., The edge Wiener index of suspensions, bottlenecks, and thorny graphs, Glas. Mat. Ser. III. 49(1) (2014) 1-12.

DOI: https://doi.org/10.3336/gm.49.1.01

[3] H. Bian, X. Ma, E. Vumar, The Wiener-type indices of the corona of two graphs, Ars Combin. 107 (2012) 193-199.

[4] N. De, S.M.A. Nayeem, A. Pal, F-index of some graph operations, Discrete Math. Algorithm. Appl. 8(02) (2016) 1650025.

DOI: https://doi.org/10.1142/s1793830916500257

[5] N. De, S.M.A. Nayeem, A. Pal, The F-coindex of some graph operations, SpringerPlus. 5 (2016) 221.

[6] N. De, S.M.A. Nayeem, Computing the F-index of nanostar dendrimers, Pacific Science Review A: Natural Science and Engineering. 18(1) (2016) 14-21.

DOI: https://doi.org/10.1016/j.psra.2016.06.001

[7] N. De, F-index of total transformation graphs, Unpublished manuscript, Available at arXiv: 1606. 05989.

[8] N. De, F-index and coindex of some derived graphs, Unpublished manuscript, Available at arXiv: 1610. 02175.

[9] N. De, S.M.A. Nayeem, A. Pal, Reformulated first Zagreb index of some graph operations, Math-ematics. 3(4) (2015) 945-960.

DOI: https://doi.org/10.3390/math3040945

[10] N. De, S. M. A. Nayeem, A. Pal, Total eccentricity index of the generalized hierarchical product of graphs, Intern. J. Appl. Comput. Math. 1(3) (2015) 203-511.

[11] N. De, S.M.A. Nayeem, A. Pal, Modified eccentric connectivity index and polynomial of corona product of graphs, Int. J. Compt. Appl. 132(9) (2015) 1-5.

[12] B. Furtula, I. Gutman, A forgotten topological index, J. Math. Chem. 53(4) (2015) 1184- 1190.

DOI: https://doi.org/10.1007/s10910-015-0480-z

[13] I. Gutman, N. Trinajstić, Graph theory and molecular orbitals. Total π-electron energy of alter-nant hydrocarbons, Chem. Phys. Lett. 17(4) (1972) 535-538.

DOI: https://doi.org/10.1016/0009-2614(72)85099-1

[14] P. Lu, Y. Miao, Spectra of the subdivision-vertex and subdivision-edge coronae, Unpublished manuscript, Available at arXiv: 1302. 0457.

[15] X. Liu, P. Lu, Spectra of subdivision-vertex and subdivision-edge neighbourhood coronae, Linear Algebra and Its Applications. 438(8) (2013) 3547-3559.

DOI: https://doi.org/10.1016/j.laa.2012.12.033

[16] R. Malpashree, Some degree and distance based topological indices of vertex-edge corona of two graphs, Journal of the International Mathematical Virtual Institute. 6 (2016) 1-29.

[17] Z. Yarahmadi, A. R. Ashrafi, The Szeged, vertex PI, first and second Zagreb indices of corona product of graphs, Filomat. 26(3) (2012) 467-472.

DOI: https://doi.org/10.2298/fil1203467y
Show More Hide
Cited By:

[1] A. Alameri, "F-coindex of some corona products of graphs", Journal of Discrete Mathematical Sciences and Cryptography, p. 1, 2021

DOI: https://doi.org/10.1080/09720529.2021.1932891

[2] M. Bilal, M. Jamil, M. Waheed, A. Alameri, M. Glabowski, "Three Topological Indices of Two New Variants of Graph Products", Mathematical Problems in Engineering, Vol. 2021, p. 1, 2021

DOI: https://doi.org/10.1155/2021/7724177

[3] H. Raza, M. Waheed, M. Jamil, M. Azeem, "Structures devised by the generalizations of two graph operations and their topological descriptors", Main Group Metal Chemistry, Vol. 45, p. 44, 2022

DOI: https://doi.org/10.1515/mgmc-2022-0006

[4] M. Waheed, U. Saleem, M. Cancan, Z. Tas, M. Alaeiyan, M. Farahani, "Construction of Petersen graph via graph product and correlation of topological descriptors of Petersen graph in terms of cyclic graph C5", Journal of Discrete Mathematical Sciences and Cryptography, p. 1, 2022

DOI: https://doi.org/10.1080/09720529.2022.2060921
Show More Hide