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Iranian Journal of Mathematical Chemistry
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Yousefi, A., Iranmanesh, A., Dobrynin, A., Tehranian, A. (2018). The F–Index for some Special Graphs and some Properties of the F–Index. Iranian Journal of Mathematical Chemistry, 9(3), 213-225. doi: 10.22052/ijmc.2018.126298.1355
A. Yousefi; A. Iranmanesh; A. A. Dobrynin; A. Tehranian. "The F–Index for some Special Graphs and some Properties of the F–Index". Iranian Journal of Mathematical Chemistry, 9, 3, 2018, 213-225. doi: 10.22052/ijmc.2018.126298.1355
Yousefi, A., Iranmanesh, A., Dobrynin, A., Tehranian, A. (2018). 'The F–Index for some Special Graphs and some Properties of the F–Index', Iranian Journal of Mathematical Chemistry, 9(3), pp. 213-225. doi: 10.22052/ijmc.2018.126298.1355
Yousefi, A., Iranmanesh, A., Dobrynin, A., Tehranian, A. The F–Index for some Special Graphs and some Properties of the F–Index. Iranian Journal of Mathematical Chemistry, 2018; 9(3): 213-225. doi: 10.22052/ijmc.2018.126298.1355

The F–Index for some Special Graphs and some Properties of the F–Index

Article 5, Volume 9, Issue 3, Summer 2018, Page 213-225  XML PDF (314.1 K)
Document Type: Research Paper
DOI: 10.22052/ijmc.2018.126298.1355
Authors
A. Yousefi1; A. Iranmanesh email 2; A. A. Dobrynin3; A. Tehranian4
1Department of Mathematics, Science and Research Branch, Islamic Azad University, P. O. Box 14515 – 1775, Tehran, Iran
2Tarbiat Modares University
3Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk 630090, Russia
4Islamic Azad University
Abstract
The "forgotten topological index" or "F–index" has been introduced by Furtula and Gutman in 2015. The F–index of a (molecular) graph is defined as the sum of cubes of the vertex degrees of the graph. In this paper, we compute this topological index for some special graphs such as Wheel graph, Barbell graph and Friendship graph. Moreover, the effects on the F–index are observed when some operations such as edge switching, edge moving and edge separating are applied to the graphs. Finally, we investigate degeneracy of F–index for small graphs.
Keywords
Forgotten topological index; Edge switching; Edge moving; Edge separating; k–apex tree
Main Subjects
Chemical Graph Theory
Statistics
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PDF Download: 129
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