Abstract
The sum of degree cube of all the vertices of a graph is known as the F-index or the “forgotten topological index” of that graph. In the present work, we study the “forgotten topological index” of new operations of different subdivision-related graphs based on the join of graphs.
Keywords
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Gutman, I., Trinajestić, N.: Graph theory and molecular orbitals total \(\pi \)-electron energy of alternant hydrocarbons. Chem. Phys. Lett. 17, 535–538 (1972)
Sarkar, P., De, N., Pal, A.: The Zagreb Indices of graphs based on new operations related to the join of graphs. J. Int. Math. Virtual Inst. 7, 181–209 (2017)
Mary, U., Arockiaraj, P.S., Albert, A.J.: The first and second Zagreb indices of corona graphs. Int. J. Math. Archive 5(11), 80–89 (2014)
Furtula, B., Gutman, I.: A forgotten topological index. J. Math. Chem. 53, 1184–1190 (2015)
De, N.: F-index of graphs based on four operations related to the lexicographic product, arXiv:1706.00464v1
De, N.: F-index and coindex of some derived graphs. Bull. Int. Math. Virtual Inst. 8, 81–88 (2018)
De, N.: F-index of total transformation graphs. Discrete Math. Algorithm. Appl. 9(3) (2017)
Shirrdel, G.H., Rezapour, H., Sayadi, A.M.: The hyper Zagreb index of graph operations. Iran. J. Math. Chem. 4, 213–220 (2013)
De, N.: Hyper Zagreb index of bridge and chain graphs, arXiv:1703.08325v1
Gao, W., Jamil, M.K., Farahani, M.R.: The hyper-Zagreb index and some graph operations. J. Appl. Math. Comput. 54, 263–275 (2017)
Kumar, R.P., Nandappa, D.S., Kanna, M.R.R.: Redefined Zagreb, randic, harmonic and GA indices of graphene. Int. J. Math. Anal. 11, 493–502 (2017)
Farahani, M.R., Gao, W.: On multiplicative and redefined version of Zagreb indices of V-phenylenic nanotubes and nanotorus. British J. Math. Comput. Sci. 13(5), 1–8 (2016)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Sarkar, P., De, N., Pal, A. (2019). The Forgotten Topological Index of Graphs Based on New Operations Related to the Join of Graphs. In: Yadav, N., Yadav, A., Bansal, J., Deep, K., Kim, J. (eds) Harmony Search and Nature Inspired Optimization Algorithms. Advances in Intelligent Systems and Computing, vol 741. Springer, Singapore. https://doi.org/10.1007/978-981-13-0761-4_33
Download citation
DOI: https://doi.org/10.1007/978-981-13-0761-4_33
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-0760-7
Online ISBN: 978-981-13-0761-4
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)