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

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YOUSEFI ASGHAR; IRANMANESH ALI; DOBRYNIN ANDREY A.; TEHRANIAN ABOLFAZL

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Journal: Iranian Journal of Mathematical Chemistry Year:2018 | Volume:9 | Issue:3 Page(s): 213-225

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Title

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

Author(s)

YOUSEFI ASGHAR | IRANMANESH ALI | DOBRYNIN ANDREY A. | TEHRANIAN ABOLFAZL | Issue Writer Certificate

Keywords

Forgotten topological indexQ1

Edge switchingQ1

Edge movingQ1

Edge separatingQ1

k−apex treeQ1

Abstract

The "Forgotten topological index" or "􀜨 – index" has been introduced by Furtula and Gutman in 2015. The 􀜨 – 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 􀜨 – 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 􀜨 – index for small graphs.

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APA: Copy

YOUSEFI, ASGHAR, IRANMANESH, ALI, DOBRYNIN, ANDREY A., & TEHRANIAN, ABOLFAZL. (2018). The F-Index for some Special Graphs and some Properties of the F-Index. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 9(3 ), 213-225. SID. https://sid.ir/paper/205496/en

Vancouver: Copy

YOUSEFI ASGHAR, IRANMANESH ALI, DOBRYNIN ANDREY A., TEHRANIAN ABOLFAZL. The F-Index for some Special Graphs and some Properties of the F-Index. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2018;9(3 ):213-225. Available from: https://sid.ir/paper/205496/en

IEEE: Copy

ASGHAR YOUSEFI, ALI IRANMANESH, ANDREY A. DOBRYNIN, and ABOLFAZL TEHRANIAN, “The F-Index for some Special Graphs and some Properties of the F-Index,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 9, no. 3 , pp. 213–225, 2018, [Online]. Available: https://sid.ir/paper/205496/en

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